A co. will select 2 of the 6 candidates available to work in 2 different positions in the Tech team and 3 of the 7

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

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


OA E

Source: e-GMAT

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BTGmoderatorDC wrote:
Thu Jan 13, 2022 6:35 pm
A co. will select 2 of the 6 candidates available to work in 2 different positions in the Tech team and 3 of the 7 candidates to work in the same position in the HR team. Find the number of ways in which the company can fill the position?

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


OA E

Source: e-GMAT
For the two different positions\(: 6C2 * 2! = 15*2 = 30\)
For the three same positions\(: 7C3 = 35\)

So number of ways\( = 30*35 = 1050\)

Therefore, E