Question

Joe works at a local department store. His manager asked him to choose for display 5 different shirts

from the wall of the store that has 8 shirts on it to put in a display. How many ways can Joe choose the

shirts?

Answer 1

Total number of shirts=8

Number of shirts joe has to display=5

So Number of ways joe can choose shirt-

$= ^8C_5=\dfrac{8!}{5!(8-5)!}=\dfrac{8\times 7\times 6\times 5!}{6\times 5!}=56\text{ ways}$