SOLUTION: A committee of eight Congressmen will be selected from a group of nine Democrats and seven Republicans. Find the number of ways of obtaining a committee with exactly three Democrat

Question 1146054: A committee of eight Congressmen will be selected from a group of nine Democrats and seven Republicans. Find the number of ways of obtaining a committee with exactly three Democrats.
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.


The committee = 3 Democrats + 5 Republican.


(1)  You can select 3 democrats from 9 democrats in   =  = 84 ways.


(2)  You can select 8-3 = 5 Republican for remaining 5 positions from 7 Republicans in   =  = 21 ways.



(3)  Selections (1) and (2) are independent;  therefore, the total number of obtaining the committee 

     is the product  84*21 = 1764.    ANSWER

Solved.

RELATED QUESTIONS
A committee of Seven Congressmen will be selected from a group of nine Republicans and... (answered by Boreal)

a committee of eight congressmen will be selected from a group of Democrats and seven... (answered by greenestamps)

A committee of six Congressmen will be selected from a group of four Democrats and seven... (answered by ikleyn)

A committee of four congressmen will be selected from a group of seven democrats and... (answered by edjones)

a committee of five congressmen will be selected from a group of four democrats and six... (answered by ikleyn)

a committe of four congressmen will be selected from a group of six Republicans and Two... (answered by VFBundy)

A committee of 4 people is randomly selected from a group of 5 Republicans and 6... (answered by ewatrrr)

A city council consists of seven Democrats and seven Republicans. If a committee of six... (answered by ikleyn)

a city council consists of seven democrats and six republicans. if a committee of six... (answered by robertb)