1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lubov Fominskaja [6]
3 years ago
15

Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must

have the same number of men and women
Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways  = 120 \times 220 = 26,400 \ ways

Therefore, the number of ways is 26,400 ways

You might be interested in
25 POINTS!! PLEASE HELP!
Anvisha [2.4K]

Answer:

The length of TQ is 14.

Step-by-step explanation:

The length of SV and VS are the same.

4x - 1 = 15

4x = 16

x = 4

Similarly, the length of TS and TQ are the same.

3x + 2 = 3(4) + 12 = 14

6 0
2 years ago
Kelly was baking bread but could only find her 1/8 cup measuring cup. She needs 1/4 cup sugar,3/4 cup whole wheat flour, and 1/2
irga5000 [103]

Answer:

Step-by-step explanation:

cups

for sugar=1/4÷1/8=1/4×8=2

whole wheat flour=3/4÷1/8=3/4×8=6

all purpose flour=1/2÷1/8=1/2×8=4

6 0
3 years ago
Find the distance between the points (<br> -<br> 10,12) and (15,12).
Nitella [24]
The distance formula is:

d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

We are given two points in the form (x,y), so plug in the values to the distance formula:

d= \sqrt{(-10-15)^2-(12-12)^2}

Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:

d= \sqrt{(-25)^2}

The square and square root cancel each other out leaving us with 25.

The answer is 25.


5 0
3 years ago
Ryan earned x number of dollars babysitting his little brother in July. His older
aliya0001 [1]

Answer:

Ryan earned $52 Mike earned $109 and Stormy earned $94

Step-by-step explanation:

x+2×+5+2x-10=255

5x-5=255

5x=260

x=52

6 0
3 years ago
In the number 57.117 the 1
Romashka [77]
The value of the one is 0.1 and 0.01.

Hope this helps :D
3 0
3 years ago
Other questions:
  • The two Step equations 5k=20
    12·1 answer
  • Also this question tooo pleease, PS: what topic is this <br> Solve for x.
    7·1 answer
  • Need help! Will mark Brainiest!
    15·1 answer
  • Help<br> Me do not understand
    5·1 answer
  • 47/8,5.852,5 17/20,4.71 What is this least to greatest.​
    7·1 answer
  • The football team has a total of 25 jerseys. There are 10 medium-sized jerseys. What percent of the
    12·1 answer
  • Help help help help help
    13·1 answer
  • Please help with this, all I need is for this paper to be done and then I’ll have a good grade in algebra
    15·1 answer
  • Which points are located on this graph?
    14·2 answers
  • A home is purchased for $60,000 in 2001 and sold for $225,000 in 2021. Plot this on a graph. Then draw 2 lines, 1 mapping a line
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!