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1 sales manager can be selected out of 7 in 7 ways
1 clerk can be selected out of 4 in 4 ways
1 receptionist can be selected out of 10 in 10 ways

total no. of ways these 3 can be selected = 7 *4 * 10

Ans. B) 7 × 4 × 10
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Bunuel

Tough and Tricky questions: Combinations.



A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

A) 7 + 4 + 10
B) 7 × 4 × 10
C) 21 × 20 × 19
D) 7! + 4! + 10!
E) 7! × 4! × 10!

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Source: Chili Hot GMAT

The correct answer is B.
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A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

\(= 7C1 * 4C1 * 10C1\)

\(= 7 * 4 * 10\)

Hence, Answer is B
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Hello from the GMAT Club BumpBot!

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