Question

A man just bought 2 suits, 9 shirts, and 11 ties. All of these suits, shirts, and ties coordinate with each other. If he is to randomly select one suit, one shirt, and one tie to wear on a certain day, how many different outcomes (selections) are possible

Answer 1

Answer: 198 ways

Explanation:

Given

A man has 2 suit, 9 shirts, and 11 ties available to select one suit, one shirt, and one tie.

No of ways of selecting 1 suit out of 2 is
`^2C_1`

No of ways of selecting 1 shirt out of 9 are
`^9C_1`

No of ways of selecting 1 tie out of 11 are
`^(11)C_1`

total no of ways of required ways are

`\Rightarrow ^2C_1* 9C_1* ^(11)C_1=2* 9* 11\\\Rightarrow 198`