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

This topic has expert replies
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

Legendary Member
Posts: 2218
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members
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