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# PS: Permutation and combination

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Intern
Joined: 25 May 2008
Posts: 43

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24 Dec 2008, 14:58
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (03:08) wrong based on 1 sessions

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Q7 Set 1

A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the three positions?

a. 42
b. 70
c. 140
d. 165
e. 315

how?
also please tell me some online resource to study P n C from?
SVP
Joined: 07 Nov 2007
Posts: 1765
Location: New York
Re: PS: Permutation and combination [#permalink]

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24 Dec 2008, 15:21
hbs2012 wrote:
Q7 Set 1

A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the three positions?

a. 42
b. 70
c. 140
d. 165
e. 315

how?
also please tell me some online resource to study P n C from?

From the question, I am assuming that 7 candidates eligible for only mathdepartent and 10 candidates are eligible for computer science department.

7C1 * 10C2= 7*45
=315

Are you sure answer is B.?
What is the source?
_________________

Smiling wins more friends than frowning

Manager
Joined: 05 Aug 2008
Posts: 90
Schools: McCombs Class of 2012
Re: PS: Permutation and combination [#permalink]

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24 Dec 2008, 16:54
I get E as well. I took the same approach.
Re: PS: Permutation and combination   [#permalink] 24 Dec 2008, 16:54
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