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:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many total outcomes are possible?
2 men, from a set of 11.
2 women, from a set of 9.
So
[tex]T = C_{11,2}*C_{9,2} = \frac{11!}{2!9!}*\frac{9!}{2!7!} = 1980[/tex]
1980 total outcomes are possible.
