VeritasKarishma wrote:
mangamma wrote:
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
2 are to be selected out of 6 for 2 different positions hence it involves selection and arrangement on the two positions.
First position can be filled in 6 ways and second in 5 ways to give a total of 6*5= 30 ways
3 of the 7 candidates are to be selected for the same role e.g. HR manager. So here we only need to select 3 of 7 in 7C3 = 35 ways.
So the company can fill the positions in 30*35 = 1050 ways
For more, check:
https://www.veritasprep.com/blog/2011/1 ... inatorics/https://www.veritasprep.com/blog/2011/1 ... binations/Hi
VeritasKarishmaI have a doubt here. I think the two events are independent(selecting technology people and selecting HR people).
Technology team is different and we cannot put HR people in them.
Should not we add instead of multiplying.
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