A total of 900 committees are possible that consist of 2 women and 2 men.
To find how many different committees are possible we have to use the concept of multiplication in permutation.
The Multiplication Principle states that if an event can happen in m different ways and a second event can happen in n different ways after the first has happened, then the two events can happen in m*n different ways. This is also referred to as the Basic Counting Principle.
We have a total of 6 women and 6 men.
We have to form a committee of 4 people that consists of 2 women and 2 men.
2 men from 6 men = 6C2
2 women from 6 women = 6C2
combining both with the multiplication principle.
6C2*6C2 = 30*30 = 900.
A total of 900 committees are possible.
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