Question

A salesman packed 3 shirts and 5 ties. With one shirt, he could wear all 5 ties. With another shirt, he could wear 4 ties. With the third shirt, he could wear only 2 ties. How many different combinations did he have? a) 40 b) 22 c) 11 d) 10

Answer 1

11 different combinations

Explanation:

A salesman packed 3 shirts and 5 ties.

With one shirt, he could wear all 5 ties = 5 combinations

With another shirt, he could wear 4 ties = 4 combinations

With the third shirt, he could wear only 2 ties= 2 combinations

number of different combinations=
`5+4+2=11`

so answer is 11