Thursday

August 21, 2014

August 21, 2014

Posted by **Jake** on Thursday, May 24, 2012 at 12:18am.

12 are men and the rest are women.

How many seven person groups have exactly three men?

How many of these seven person groups have exactly three men or three women?

- math -
**MathMate**, Thursday, May 24, 2012 at 7:11am12 men and 8 women.

Define:

(n,r)=n choose r = n!/((n-r)!r!)

Example: (5,3)=5!/(2!3!)=5*4/2!=10

A. exactly 3 men and 4 women

Choose the 3 men in (12,3) ways and the 4 women in (12,4) ways. The number of groups which has exactly 3 men is therefore (12,3)*(12,4)=220*495 ways.

B. 3 men + 4 women or 3 women + 4 men

Proceed as in A for 3 women + 4 men and add the result to that of A.

**Related Questions**

math - Twenty people apply for seven jobs that are available at fly by night ...

Stats - Recall that in the week 2 assignment, a certain company hired three new ...

Math - There are seven men on a bus. Each has seven backpacks. Each backpack has...

Math - Please help with the translation of this algebraic expression: Twenty-...

math - If you are making a team of 4 members. You have 4 women and seven men to ...

math - In how many ways can a committee of five people be selected from seven ...

math - In how many ways can a committee of five people be selected from seven ...

Math - There is one bus with seven girls on it. Each girl has seven backpacks ...

MATH - Find the word form 0.007 a. seven hundredths b. seven tenths c. seven ...

Math - I'm really struggling with how to set this up: A company has 18 members ...