Question

A company has 10 male and 11 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many different teams can be formed?

Answer 1

2475 different teams can be formed.

Combination is the way in which items can be selected from a collection. If we have n total objects and r objects want to be selected, the number of combinations is:

$C(n,r)=\frac{n!}{(n-r)!(r)!}$

Since we need to nominate 2 men from a company of 10 males, the number of ways this can be done = $C(10,2)=\frac{10!}{(10-2)!(2)!} =45\ ways$

Also, we need to nominate 2 women from a company of 11 females, the number of ways this can be done =  $C(10,2)=\frac{11!}{(11-2)!(2)!} =55\ ways$

Therefore the total number of different teams that can be formed = 45 ways * 55 ways = 2475 ways

Find more at: brainly.com/question/8018593