A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3...

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Tue Sep 01, 2020 10:04 am

E-GMAT

A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3 of the 7 candidates to work in the same position in HR team. Find the number of ways in which company can fill the positions.

A. 57
B. 65
C. 128
D. 256
E. 1050

OA E

Solution:

Since the positions in the Technology team are different (i.e., order matters), the number of ways to select the candidates for the two positions is 6P2 = 6 x 5 = 30.

Since the positions in the HR team are the same (i.e., order doesn’t matter), the number of ways to select the candidates for the three positions is 7C3 = (7 x 6 x 5)/(3 x 2) = 35.

Therefore, there are 30 x 35 = 1050 ways to select the candidates for the positions.

Answer: E