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GMAT-MATHS-->View question

In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the top 3 will be awarded medals, then how many groups of medal winners are possible? (GMAT-MATHS)

In a group of 8 semifinalists, all but 2 will advance to the final round. If in the final round only the
top 3 will be awarded medals, then how many groups of medal winners are possible? (GMAT-MATHS)
(A) 20
(B) 56
(C) 120
(D) 560
(E) 720


Asked On2019-04-08 13:51:18 by:naikaumprakash

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Answer 31 (B).
The entire discussion of rounds is a red herring. The question is asking for possible
combinations of the final 3, and it is possible for any of the original 8 contestants to have
advanced to the final round, thus we need to pick 3 out of 8, and order doesn’t matter.
8*7*6/3*2*1=56.

Answerd on:2019-06-05 Answerd By:Jaynil-Gaglani

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Here option D is correct.
Explanation:
6 candidates can selected from 8 in 8C6=28 ways.
then for every such selection 3 can be selected from 6 in 6C3 ways=20 ways
so, total no. of groups of medal winners is 28*20=560.

Answerd on:2019-05-15 Answerd By:PrashantIIST

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