priceton review factorial

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priceton review factorial

by resilient » Wed Feb 27, 2008 7:58 pm
If 9!/3^k is integer, what is the greatest possible value of K?

qa is c - 4

9
6
4
3
2
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by torontogmat.com » Thu Feb 28, 2008 7:43 am
Essentially you are being asked how many 3's you have in 9!.

In order for 9! / 3^k to be an integer, you must have at least k 3's in the numerator.

9! has four 3's: the 9 accounts for two of them, and the 6 and 3 for one each.

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by sampleresume » Wed Apr 16, 2008 6:51 am
I will go with 4 too.