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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: 53791
A college student can select one out of eight optional subjects from  [#permalink]

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02 Oct 2018, 01:48
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Difficulty:

5% (low)

Question Stats:

89% (01:17) correct 11% (01:47) wrong based on 56 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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Senior Manager
Joined: 29 Dec 2017
Posts: 385
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
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: 795
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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A college student can select one out of eight optional subjects from

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