In how many ways can a committee
of 5 men and 3 women be selected
from 9 men and 7 women ?

Answers

Answer 1

Answer:

use the same method

Step-by-step explanation:

Men=5

Women=3

Available Strength:

Men=7

Women=6

Objective:Finding no of such committees where particular 2 women are never together.

So initially ,Total possible number of commitee=7c5×6c3=420.

Now we need to find total committes where two particular women say(Sita and Gita ) are never together.

Approach—->

As the commitee requires 5 men and 3 women.

Let us first find number of committees where Sita and Gita are always together.

Hence we reserve 2 women seats for them.

Now we need one women out of remaining 4 women.

So possible number of such commitees 7c5×4c1.

=84.

Hence number of committees where Sita and Gita are never together

=420–84

=336.


Related Questions

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match each linear model to its inverse.

Answers

Answer:

We need the options

Step-by-step explanation:

...

Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an
account every month that pays 1.05% interest, compounded monthly. How
much will be in the account after 4 years?

Answers

Answer:

$9,800.07

Step-by-step explanation:

Just took a quiz.

There will be $9,800.07  after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

PMD = $200

r/n = 0.0105/12

n = 12

t = 4 years

After plugging the all values in the formula, we will get:

A = $9,800.07

Thus, there will be $9,800.07  after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,

Learn more about the compound interest here:

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The Sierra club purchased a new kayak. Each of the 6 members paid the same amount. When 2 new members joined, each of the original 6 members received a check back for $10. How much did the kayak cost?

Answers

Answer:

the answer will the sum of multiple of 6& 8 and the lcm of 6 &8

Step-by-step explanation:

ie.

48+24=

f(x) = -3/5x - 17 if f(x) = -2, find x
f(x) = -11 - 1/6x if f(x) - -25, find x

Answers

Answer:

x = - 25 , x =  84

Step-by-step explanation:

Given f(x) = - [tex]\frac{3}{5}[/tex] x - 17 and f(x) = - 2 , then equate right sides

- [tex]\frac{3}{5}[/tex] x - 17 = - 2 ( add 17 to both sides )

- [tex]\frac{3}{5}[/tex] x = 15 ( multiply both sides by 5 to clear the fraction )

- 3x = 75 ( divide both sides by - 3 )

x = - 25

---------------------------------------------------------

Similarly equate right sides

- 11 - [tex]\frac{1}{6}[/tex] x = - 25 ( add 11 to both sides )

- [tex]\frac{1}{6}[/tex] x = - 14 ( multiply both sides by 6 to clear the fraction )

- x = - 84 ( multiply both sides by - 1 )

x =  84

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 12 N acts on a certain object, the acceleration
of the object is 6 m/s?. If the acceleration of the object becomes 4 m/s, what is the force?

Answers

Answer:

8N

Explanation:

Since Force is proportional to acceleration,

F1/a1=F2/a2

Therefore;

12/6=F2/4

F2=(12*4)/6

=8

HELP ME!!!!!
At an opening for a new store, the first 50 customers are given gift certificates. There are 35 gift certificates worth $10 each, 10 gift certificates worth $15 each, 4 gift certificates worth $50 each, and 1 gift certificate worth $75. The gift certificates are handed out randomly to the first 50 customers.

Natalie is one of the first 50 customers. What is the expected value of the gift certificate that she will receive?

Answers

Answer: $50

Step-by-step explanation:

If Natalie is one of the first 50 customers to enter the store, then she might've gotten the $50 or the $75

!! Fake answers will be reported
Find angle 5& 6 too

Answers

Answer:

x = 10

y = 5

Angle 1: 80 degrees

Angle 2: 45 degrees

Angle 3: 100 degrees

Angle 4: 35 degrees

Angle 5: 35 degrees

Angle 6: 45 degrees

Angle 7: 100 degrees

Step-by-step explanation:

Since we know angle 1 is equal to 80, we can say that angle 7 is 100, since a line makes 180 degrees. Because of the congruence statements, we can assume angle 3 is also 100 degrees. That means, that out of the 360 degrees that make up a 4 sided shape, we are left with 160. Those 160 are shared with angles 2,4,5 and 6.

To find these, we need to find 5 and 6. But we need to find x before we can solve for those. So take the equations from 5 and 6 to solve for x.

(3x+5)+(5x-5)+100=180

(3x+5)+(5x-5)=80

8x=80

x=10

Now plug x in to solve for angle 5 and 6

3(10)+5 = 35.   Angle 5

5(10)-5 = 45.   Angle 6

Now, because we know that there are only 160 degrees left to share between angles 2,4,5,6 we can say that angles 2+5=80 and 4+6=80. We already figures out what angle 5 and 6 are, so just substitute and solve.

(angle 2)+35 = 80

(angle 2) = 45 degrees

(angle 4)+45 = 80

(angle 4) = 35 degrees

To solve for y, set angle 7 equal to 100 degrees:

100 = y^2 + 15y

100 = y(y+15)

y = 5

Can anyone help me with this question?

Answers

Answer:

13

Step-by-step explanation:

Since this is a right triangle, you can use the Pythagorean Theorem.

The side y would be the hypotenuse.

[tex]a^{2} + b^{2} = c^{2}[/tex]

Plug it in:

[tex]5^{2} + 12^{2} = y^{2}[/tex]

Isolate y:

y = [tex]\sqrt{ 5^{2} + 12^{2} }[/tex]

Solve:

y = 13

The Anwser to the question is 13 I did it all in my head boom

Find the slope of the line through each pair of point

Answers

Answer:

what are the pair of points?

Type the missing numbers in this sequence:
-101, -105,
-109,
-117

Answers

Answer:

The answer is - 113 that is the correct answer skipping in three's and the first one is - 97

Answer:

-97, -101, -105, -109, -113, -117

Step-by-step explanation:

the order was add -4 each time

bill heads north driving at 55 mph and jane heads south driving at 60 mph. How long before they are 862.5 miles apart?

Answers

Answer:

bill heads;15.68

jane heads;14.38

Step-by-step explanation:

862.5÷55=15.68

862.5÷60=14.38

to write
algebraically
following expressions:
the
1. Double an X number.
2. Triple an X number.
3. Double a number x plus 5.
4. The square of the triple of a
number x.
5. Three-quarters of a
number x.

Answers

Answer:

1. 2x

2. 3x

3. 2x+5

4. (3x)^2

5. 3\4(x)

I hope it makes sense

have a great day

if any questions pls ask

Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.

A) 0.067
B) 4
C) 15
D) 75

Answers

Answer: 15

Step-by-step explanation: I took the test.

Answer:

C.) 15

Step-by-step explanation:

A television that costs $500 is marked up by 250%. What is the new price of the television?

Answers

answer:
625$

explanation: first you need to find what 250% of 500$ is. which to find that out , you take 500 times 0.250 which gives you 125. then you just add 125+500 and get 625$

hope this helps:)

Answer:

Its $1,750

Explanation: I got it right

Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets
marked down, During the sale, rashguards sell for $5 less than full price. Miguel purchases 3
rashguards and pays a total of $60.
Which equation can you use to find how much money, f, each rashguard costs at full price?

Answers

The full price of a rashguard is $25 and the expression for the full price is 3 (x - 5) = 60.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the full price of each rashguard be x,
Rashguards sell for $5 less than full price.
x - 5
Miguel purchases 3 rashguards and pays a total of $60.
3 (x - 5) = 60
Simplifying,
x - 5 = 60 / 3
x - 5 = 20
x = 20 + 5
x = 25

Thus, the full price of a rashguard is $25 and the expression for the full price is 3 (x - 5) = 60.

Learn more about arithmetic here:

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You want to purchase 7 Rubik’s cubes for a Rubik’s cube you are starting. A Rubik’s cube cost $7.99 How much does it cost to buy all seven to start your Rubik’s cube club

Answers

Answer:

just multiply 7.99 * 7. your tryna find how much 7 rubrics cubes cost so your answer should be 55.93 or 56

Step-by-step explanation:

Please help fast
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.

Answers

Answer:

Y > 2x - 3

Y > -1/2x + 2

Step-by-step explanation:

The dotted line is a function of y=2x - 3,

And the solid line has a function of y= -1/2x + 2

Because the line is dotted for the first line I picked, it is > and because the other is solid it is >.

does anyone know how to do this?

WILL GIVE BRAINLIEST ANSWER!!!


(a) Find the image of (6,2) under T (1,4)

(b) Find the image of (3,1) under r y=0

(c) Find the image of (−1,−3) under R (0,0),180

(d) Find the preimage of (2,1) under T ( −3,−4)

Answers

Answer:

a is (7,6)

b is (3,-1)

c is (1,3)

d is (5,5)

Step-by-step explanation:

guys pls help me!!!!!!

Answers

Answer:

x=79

Step-by-step explanation:

180-101=79

Jesus loves you!

Answer:

It is 79

Step-by-step explanation:

Since the lines are parrelel that means that the angle that is next to the 101 is corresponding to x. So then we do 180-101 which is 79

Write the equation of the graph below in slope intercept form.

(2,0) and (0,-3)

Step by step

Answers

Answer:

y2- y1 over

x2 -x2

[tex] - 3 - 0 = - 3[/tex]

[tex]0 - 2 = - 2[/tex]

Step-by-step explanation:

slope is m =

[tex]m = - \frac{3}{2} [/tex]

use the -3 for b and you get

[tex]y = - \frac{3}{2} x - 3[/tex]

slope intercept form

Mark has £5. A litre of milk costs 80p. He buys as many as he can. How much money will he have left

Answers

Answer:

He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.

Step-by-step explanation:

welcome

Students in a world geography class want to determine the distances between cities in Europe. The map gives all distances in kilometers. The students want to determine the number of miles between towns so they can compare distances with a unit of measure with which they are already familiar. The graph below shows the relationship between a given number of kilometers and the corresponding number of miles.

Answers

Answer:

Step-by-step explanation:

i guess we will never know.

Please help out. I'm lost. I don't understand this :/

Answers

scalene triangle is a triangle with no congruent sides
isosceles triangle is a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)
equilateral triangle is a triangle with exactly 3 congruent sides.

Graph 15 is an isosceles triangle

Step-by-step explanation:

15 . triangle on number 15 is an isoseles because it has two sides that are equal

and also it has two angles that are equal

16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different

Justin needs 9 pieces of rope that are
1 1/2 feet long each. He says he can cut the 9 pieces from a 12 3/4 foot long rope. Is Justin correct? Write an equation with a complex fraction to support your answer.​

Answers

Answer:

no.

Step-by-step explanation:

half of 9 ft is 4.5 ft, 9 + 4 and 1/2 is 13 1/2

What is the reciprocal of -3 2/7 in fraction form?

Answers

Answer:

7/23

Step-by-step explanation:

3 2/7 - so 7 times 3 is 21, plus the extra 2 is 23, so it then becomes the improper fraction 23/7, which switched becomes 7/23

Answer: is in picture below

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

3.5 hours

Step-by-step explanation:

You are trying to isolate X (get X by it self) to do that you need to divided both sides of the equation by 60 resulting in X=3.5

Divide both sides by 60 to isolate x

x=3.5 hours

Hope this helps you! :)

[tex]GraceRosalia[/tex]

PLEASE HELP ME
A population in a town has 2500 people in the first month of its development. Every month after that, the population constantly increases 1.25 times from the previous month. What will the population of the town be in the 4th month?

A.) About 4883 people
B.) About 6104 people
C.) 12500 people
D.) 9375 people

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just take the 1.25 x 4 months, then multiply that by the 2500 to get your answer of 12,500 people.

i will give brainliest please help
Please help. Point M is the mid-point of PQ. The coordinates of P and M are given below. M (5, -2) and P (11, -10) Based on the information given, what is the coordinates of Q?

Answers

Answer:

Q(-1 , 6)

Step-by-step explanation:

Midpoint M(5 , -2)

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]

11 + x₂ = 10         ;  -10 + y₂ = -4

      x₂ = 10 - 11   ;      y₂ = - 4 + 10

      x₂ = -1          ;       y₂ = 6

Q(-1 , 6)

the coordinates of point Q is (-1,6)

guys help please what is this

Answers

Answer:

A & C

Step-by-step explanation:

You're looking for rational numbers that are also integers, but because (as the figure shows) ALL integers are already rational, you only have to worry about the integer part. An integer is a whole number, positive or negative. So, you need to simplify each element of each set (the numbers inside the curly braces) to see if they're whole.

A - The square root of 100 is just 10 or -10, divided by -2 is -5 or 5. 4, -2, 5, and -5 are all integers.

B - Wrong because 4/3 is not a whole number

C - 16/4 is just 4, and the square root of 49 is 7 or -7. 4, -6, 2, 7, & -7 are all integers.

D - Wrong because 27/2 is not a whole number

E - Wrong because 0.2 is not a whole number

Let me know if you need a more thorough explanation! (:

3. 2(x − 3)

A) 2
B) −4
C) 2x − 6
D) 2x − 4 4)

Answers

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

Answer:

x=8//

Step-by-step explanation:

2(x- 3)

or,2x-6

or,X=6+2

hence,X=8//

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