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# Which of the following is equal to n!*(n+1)!?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7612
GMAT 1: 760 Q51 V42
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Which of the following is equal to n!*(n+1)!?  [#permalink]

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23 May 2017, 02:27
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85% (00:59) correct 15% (01:36) wrong based on 131 sessions

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Which of the following is equal to n!*(n+1)!?

A. $$(n!)^2$$
B. $$(n+1)!^2$$
C. $$n!^3(n+1)!^2$$
D. $$n!^3(n+1)$$
E. $$n!^2(n+1)$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Joined: 04 Dec 2015 Posts: 745 Location: India Concentration: Technology, Strategy WE: Information Technology (Consulting) Re: Which of the following is equal to n!*(n+1)!? [#permalink] ### Show Tags 23 May 2017, 05:09 1 1 MathRevolution wrote: Which of the following is equal to n!*(n+1)!? A. $$(n!)^2$$ B. $$(n+1)!^2$$ C. $$n!^3(n+1)!^2$$ D. $$n!^3(n+1)$$ E. $$n!^2(n+1)$$ n!*(n+1)! Let n be 2. 2!*(2+1)! = 2! * 3! = (2 *1 )(3 * 2* 1) = $$(2!)^2$$(2+1) $$n!^2$$(n+1) Answer E... _________________ Kindly press "+1 Kudos" to appreciate CEO Joined: 12 Sep 2015 Posts: 3853 Location: Canada Re: Which of the following is equal to n!*(n+1)!? [#permalink] ### Show Tags 23 May 2017, 05:42 1 Top Contributor MathRevolution wrote: Which of the following is equal to (n!)(n+1)!? A. $$(n!)^2$$ B. $$(n+1)!^2$$ C. $$n!^3(n+1)!^2$$ D. $$n!^3(n+1)$$ E. $$n!^2(n+1)$$ Notice that (n+1)(n!) = (n+1)! Why is this? Well if we expand n! to be (n)(n-1)(n-2)....(3)(2)(1) we can see why. We get: (n+1)(n!) = (n+1)(n)(n-1)(n-2)....(3)(2)(1) = (n+1)! So, (n!)(n+1)! = (n!)(n+1)(n!) = (n!)² (n+1) Answer: _________________ Test confidently with gmatprepnow.com Retired Moderator Status: Long way to go! Joined: 10 Oct 2016 Posts: 1344 Location: Viet Nam Re: Which of the following is equal to n!*(n+1)!? [#permalink] ### Show Tags 23 May 2017, 08:40 MathRevolution wrote: Which of the following is equal to n!*(n+1)!? A. $$(n!)^2$$ B. $$(n+1)!^2$$ C. $$n!^3(n+1)!^2$$ D. $$n!^3(n+1)$$ E. $$n!^2(n+1)$$ $$n!(n+1)! = n! \times n! \times (n+1) = (n!)^2 \times (n+1)$$ The answer is E _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7612 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following is equal to n!*(n+1)!? [#permalink] ### Show Tags 25 May 2017, 01:19 ==> You get n!*(n+1)!=n!*(n+1)n!=(n!)^2(n+1). The answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: Which of the following is equal to n!*(n+1)!?  [#permalink]

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09 Jul 2018, 13:53
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which of the following is equal to n!*(n+1)!?   [#permalink] 09 Jul 2018, 13:53
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