Question

There are 4 Board of Directors positions open. 2 will be for men, 2 will be for women.

Answer 1

Answer:

1980 total outcomes are possible.

Step-by-step explanation:

The order in which the candidates are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many total outcomes are possible?

2 men, from a set of 11.

2 women, from a set of 9.

So

$T = C_{11,2}*C_{9,2} = \frac{11!}{2!9!}*\frac{9!}{2!7!} = 1980$

1980 total outcomes are possible.