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# For any positive integer n, n! denotes the product of all th

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For any positive integer n, n! denotes the product of all th [#permalink]  18 Apr 2018, 12:09
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100% (00:46) correct 0% (00:00) wrong based on 9 sessions

For any positive integer n, n! denotes the product of all the integers from 1 through n.

 Quantity A Quantity B $$1!(10 - 1)!$$ $$2!(10 - 2)!$$

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
[Reveal] Spoiler: OA

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Kudos [?]: 11 [1] , given: 2

Re: For any positive integer n, n! denotes the product of all th [#permalink]  19 Apr 2018, 00:23
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Qty A = 1! (10-1)! = 1 * 9! = 9 * 8!

Qty B = 2!(10-2)! = 2 * 8!

Now which is greater?

9 * 8! or 2 * 8!. It is now very easy to see that 9 * 8! is greater.

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Kudos [?]: 105 [1] , given: 3

Re: For any positive integer n, n! denotes the product of all th [#permalink]  19 Apr 2018, 03:26
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Th question is actually asking to compare 9 with 4. As this is what we get on solving both the terms.

Hence A
Re: For any positive integer n, n! denotes the product of all th   [#permalink] 19 Apr 2018, 03:26
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