2019 AMC 10A Problems/Problem 25: Difference between revisions

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The following problem is from both the 2019 AMC 10A #25 and 2019 AMC 12A #24, so both problems redirect to this page.

For how many integers $n$ between $1$ and $50$ , inclusive, is $\frac{(n^2-1)!}{(n!)^n}$ an integer? (Recall that $0! = 1$ .)

$\textbf{(A) } 31 \qquad \textbf{(B) } 32 \qquad \textbf{(C) } 33 \qquad \textbf{(D) } 34 \qquad \textbf{(E) } 35$

2019 AMC 10A (Problems • Answer Key • Resources)
Preceded by Problem 24	Followed by Last Problem
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All AMC 10 Problems and Solutions

2019 AMC 12A (Problems • Answer Key • Resources)
Preceded by Problem 23	Followed by Problem 25
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All AMC 12 Problems and Solutions

Revision as of 15:39, 9 February 2019 view source P groudon (talk \| contribs) editor 421 edits Created page with "==Problem== For how many integers <math>n</math> between <math>1</math> and <math>50</math>, inclusive, is <cmath>\frac{(n^2-1)!}{(n!)^n}</cmath> an integer? (Recall that <ma..."		Revision as of 15:42, 9 February 2019 view source P groudon (talk \| contribs) editor 421 edits No edit summary Newer edit →
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			{{duplicate\|[[2019 AMC 10A Problems\|2019 AMC 10A #25]] and [[2019 AMC 12A Problems\|2019 AMC 12A #24]]}}

	==Problem==		==Problem==