SOLUTION: A committee of 8 is to be selected out of 6 males and 8 females. In how many ways can it beformed so that the male way not be out numbered?

Question 698570: A committee of 8 is to be selected out of 6 males and 8 females. In how many ways can it beformed so that the male way not be out numbered?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A committee of 8 is to be selected out of 6 males and 8 females. In how many ways can it beformed so that the male way not be out numbered?
----
6males/2females: 6C6*8C2 = 1*28 = 28 ways
---
5males/3females: 6C5*8C3 = 6*56 = 336 ways
-----
4males/4females: 6C4*8C4 = 15*70 = 1050 ways
=====
Total # of ways: 28+336+1050 = 1414
========================================
Cheers,
Stan H.
===========
RELATED QUESTIONS
4. A division has 12 employees, 8 males and 4 females. (a) How many ways can a... (answered by stanbon)

3. A division has 12 employees, 8 males and 4 females. (a) (3 points) In how many ways... (answered by jim_thompson5910)

In how many ways can a committee of 8 students from 12 males and 10 females if there must (answered by ikleyn)

How many different male-female committees can be formed from among 9 males and 10 females (answered by stanbon)

Committee of 10 members is said to be chosen from 9 males and 6 females, in how many ways (answered by ikleyn)

How many ways can you select a committee of 7 from 4 males and 6 females if a certain... (answered by Boreal)

In how many ways could a committee of five people be selected from eight females and six... (answered by jim_thompson5910)

In how many ways can 5 students be chosen from a group of 8 males and 8 females, if you... (answered by jorel1380)

A company has 12 male and 8 female employees. They need to pick 4 for a hiring... (answered by Edwin McCravy)