SOLUTION: From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed. how many different committees can be formed if three men refuse to serve?
Algebra ->
Probability-and-statistics
-> SOLUTION: From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed. how many different committees can be formed if three men refuse to serve?
Log On
Question 1185027: From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed. how many different committees can be formed if three men refuse to serve? Answer by ikleyn(52792) (Show Source):
You can put this solution on YOUR website! .
From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed.
how many different committees can be formed if three men refuse to serve?
~~~~~~~~~~~~~
You can select 4 men from a group of 8-3 = 5 men in = 5 different ways.
You can select 3 women from a group of 6 women in = = 20 different ways.
Combining these different groups of men and women, you can form the commiittee in 5*20 = 100 different ways.
Solved.
---------------
This problem is on COMBINATIONS.
It also uses the Fundamental counting principle.