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A company will select 2 of the 6 candidates available to work in 2 different positions in

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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

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Re: A company will select 2 of the 6 candidates available to work in 2 different positions in

by Ian Stewart » Sat Mar 19, 2022 3:13 am
The wording isn't clear enough, but if the two Tech positions are different (e.g. one is a Manager and the other an Engineer), then order matters, and we'll have 6 choices for the first position, 5 for the second, and 6*5 = 30 choices in total. If the HR positions are the same, order doesn't matter, and we have 7C3 = 7*6*5/3! = 35 ways to choose the people who will fill those positions. So we have 30*35 = 1050 options in total.
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