Question

There are 11 shirts to select from in a store.

How many ways can 5 different shirts be selected?

PLEASE HELP

Answer 1

Given:

Total number of shirts to select from in a store = 11

To find:

How many ways can 5 different shirts be selected?

Solution:

Number of to select r items from n items is:

`^nC_r=(n!)/(r!(n-r)!)`

Total number of ways to select 5 different shirts from 11 shirts is:

`^(11)C_5=(11!)/(5!(11-5)!)`

`^(11)C_5=(11* 10* 9* 8* 7* 6!)/(5* 4* 3* 2* 1* 6!)`

`^(11)C_5=(11* 10* 9* 8* 7)/(5* 4* 3* 2* 1)`

`^(11)C_5=462`

Therefore, there are 462 ways to select 5 different shirts.