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

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3333
Location: India
GPA: 3.12
A committee of three biology professors, two physics professors, and  [#permalink]

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Updated on: 09 Feb 2019, 01:01
2
00:00

Difficulty:

25% (medium)

Question Stats:

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

### HideShow timer Statistics

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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You've got what it takes, but it will take everything you've got

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.
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1026
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
A committee of three biology professors, two physics professors, and  [#permalink]

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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

$$4C_3*5C_2*6C_4 = 4*10*15 = 600$$

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