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How many different ways can 12 employees be assigned to 4

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chets
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How many different ways can 12 employees be assigned to 4 [#permalink] New post   07 Oct 2005, 08:44
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How many different ways can 12 employees be assigned to 4 different jobs, if the 1st job needs 5 people, 2nd job needs 3 people, 3rd job needs 2 people and the 4th job needs 2 people.



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Re: How many different ways can 12 employees be assigned to 4 [#permalink] New post   07 Oct 2005, 09:00
6,859,440

Would the actual GMAT require us to solve this in under two minutes? If so, is their a trick involved or should we just memorize all factorals 1-15?
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Re: How many different ways can 12 employees be assigned to 4 [#permalink] New post   07 Oct 2005, 09:04
GMATT73 wrote:
6,859,440

Would the actual GMAT require us to solve this in under two minutes? If so, is their a trick involved or should we just memorize all factorals 1-15?


I am scared if they do. I just memorise factorial till 7!. If there is real need I try to find out last digit of large multiplication to eliminate wrong answer choices.
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Re: How many different ways can 12 employees be assigned to 4 [#permalink] New post   07 Oct 2005, 22:20
I highly doubt the actual GMAT would require such calculations. I found this problem in a statistics text book. Sorry if I scared anyone!
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Re: How many different ways can 12 employees be assigned to 4 [#permalink] New post   08 Oct 2005, 18:14
chets wrote:
How many different ways can 12 employees be assigned to 4 different jobs, if the 1st job needs 5 people, 2nd job needs 3 people, 3rd job needs 2 people and the 4th job needs 2 people.


if this is the case, the ACs would be as under:

A. 1,454,342
B. 2,763,543
C. 4,354,354
D. 5,466,346
E. 6,859,440

where you have to multiply the numbers whose unit digit likely to be appeared as 0 or 5. here we have the following results:
= 12C5 * 7C3 * 4C2 * 2C2
= (11x9x8)x(7x5)x(3x2)x(1).
the unit digit of the above multipication is 0. so we can figure out that the AC must have unit digit.....



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Re: How many different ways can 12 employees be assigned to 4 [#permalink]
08 Oct 2005, 18:14
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