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

Respuesta :

Answer: 198 ways

Step-by-step 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 [tex]^2C_1[/tex]

No of ways of selecting 1 shirt out of 9 are [tex]^9C_1[/tex]

No of ways of selecting 1 tie out of 11 are [tex]^{11}C_1[/tex]

total no of ways of required ways are

[tex]\Rightarrow ^2C_1\times 9C_1\times ^{11}C_1=2\times 9\times 11\\\Rightarrow 198[/tex]

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