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# A college student can select one out of eight optional subjects from

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Math Expert
Joined: 02 Sep 2009
Posts: 59730
A college student can select one out of eight optional subjects from  [#permalink]

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02 Oct 2018, 01:48
00:00

Difficulty:

5% (low)

Question Stats:

90% (01:15) correct 10% (01:47) wrong based on 60 sessions

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A college student can select one out of eight optional subjects from group one and two out of ten optional subjects from group two. If no subject is same in the groups, how many different sets of three subjects are there to select?

(A) 53
(B) 120
(C) 190
(D) 360
(E) 408

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Joined: 29 Dec 2017
Posts: 373
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Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
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A college student can select one out of eight optional subjects from  [#permalink]

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05 Oct 2018, 18:27
To choose 1 from 8 = 8!/(7!*1!)=8
To choose 2 from 10 = 10!/(2!*8!)=45

Total number of combinations =8*45=360. Answer D.
Director
Joined: 20 Feb 2015
Posts: 737
Concentration: Strategy, General Management
Re: A college student can select one out of eight optional subjects from  [#permalink]

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05 Oct 2018, 23:50
Bunuel wrote:
A college student can select one out of eight optional subjects from group one and two out of ten optional subjects from group two. If no subject is same in the groups, how many different sets of three subjects are there to select?

(A) 53
(B) 120
(C) 190
(D) 360
(E) 408

Number of ways he can select 1 subject out of 8 = 8 ways
Number of ways he can select 2 subjects out of 10 = $$10c2$$ ways = 45
different sets of three subjects = 8*45 = 360
D
Re: A college student can select one out of eight optional subjects from   [#permalink] 05 Oct 2018, 23:50
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