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A committee of three biology professors, two physics professors, and

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A committee of three biology professors, two physics professors, and  [#permalink]

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New post Updated on: 09 Feb 2019, 01:01
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:44) correct 25% (02:22) wrong based on 28 sessions

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A committee of three biology professors, two physics professors, and four chemistry professors is to be made in a college. If the college has four, five, and six professors of biology, physics, and chemistry respectively, how many different committees are possible?

A. 120
B. 240
C. 300
D. 600
E. 720

Source: Experts Global

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Originally posted by pushpitkc on 09 Feb 2019, 00:56.
Last edited by Bunuel on 09 Feb 2019, 01:01, edited 1 time in total.
Renamed the topic and edited the question.
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A committee of three biology professors, two physics professors, and  [#permalink]

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New post 09 Feb 2019, 02:25
Available Professor for Biology = 4; Required = 3
Available Professor for Physics = 5; Required = 2
Available Professor for Chemistry = 6; Required = 4

\(4C_3*5C_2*6C_4 = 4*10*15 = 600\)

D is the answer.
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A committee of three biology professors, two physics professors, and   [#permalink] 09 Feb 2019, 02:25
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