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In how many ways can seven vacancies at a company be filled

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Director
Joined: 05 Jan 2005
Posts: 555

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In how many ways can seven vacancies at a company be filled [#permalink]

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20 Feb 2005, 06:55
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In how many ways can seven vacancies at a company be filled if there are 20 job applicants, three of the vacancies are identical secretarial positions and the remaining four are identical sales representative positions? Assume that eight of the applicants have applied for the secretarial positions, and the remaining 12 have applied for the sales rep positions.

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Intern
Joined: 19 Feb 2005
Posts: 9

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20 Feb 2005, 07:38
8C3 * 12C4 ??

or am i missing something here..

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SVP
Joined: 30 Oct 2003
Posts: 1788

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Location: NewJersey USA

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20 Feb 2005, 07:39
It is a metter of choosing 3 secretaries out of 8 and 4 sales res out of 12

8C3 * 12C4

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VP
Joined: 18 Nov 2004
Posts: 1431

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20 Feb 2005, 09:11
8C3 * 12C4.....if the positions were not identical then we can't use this logic, then there will be more ways to choose.

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Manager
Joined: 13 Feb 2005
Posts: 63

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Location: Lahore, Pakistan

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21 Feb 2005, 08:09
yeah

3 sec and 4 sales out of 8 and 1 apps resp

8C3*12C4

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Manager
Joined: 15 Feb 2005
Posts: 245

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Location: Rockville

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14 Mar 2005, 12:15
12c4*8c3 here too
but what if the question asked either 4 positions of sales and 3 of secret. OR 3 positions of sales and 4 of secret.
would that be
12c4*8c3+12c3*8c4?

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VP
Joined: 13 Jun 2004
Posts: 1112

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Location: London, UK
Schools: Tuck'08

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14 Mar 2005, 21:41
I found the same result : 8C3 * 12C4

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Senior Manager
Joined: 02 Feb 2004
Posts: 344

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01 May 2005, 13:03
banerjeea_98 wrote:
8C3 * 12C4.....if the positions were not identical then we can't use this logic, then there will be more ways to choose.

can anybody pls explain the difference between identical and non-identical?

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VP
Joined: 25 Nov 2004
Posts: 1481

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01 May 2005, 13:42
mirhaque wrote:
banerjeea_98 wrote:
8C3 * 12C4.....if the positions were not identical then we can't use this logic, then there will be more ways to choose.

can anybody pls explain the difference between identical and non-identical?

idetical=combination
non-idetical=permutation

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01 May 2005, 13:42
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