Solve the problem.
-A group of five entertainers will be selected from a group of twenty entertainers that includes Small and Trout. In how many ways could the group of five include at least one of the entertainers
Small and Trout?
A)8568 ways
B)11628 ways
C)6936 ways
D)15,504 ways

Question

Quizplus · Accepted Answer

The total number of ways to select 5 entertainers from 20 without any restrictions is $C(20,5)$. To find the number of ways to include at least one of Small or Trout, subtract the number of ways to select 5 entertainers excluding Small and Trout from the total. This is calculated as $C(20,5) - C(18,5) = 15504 - 8568 = 6936$.

Solve the Problem. -A Group of Five Entertainers Will Be Selected from a Selected