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An Integer Product (Posted on 2022-05-26)

P(n) is defined as an n-term product (4-2/1)*(4-2/2)*...*(4-2/n).

Prove P(n) is an integer for all natural numbers n.

See The Solution Submitted by Brian Smith

Rating: 5.0000 (1 votes)

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Comment 7 of 7 |

I could have been more complete.

Easiest for my understanding is to note that (2n)!/(n!)^2 is the same as choosing n objects from a group of 2n.

Posted by xdog on 2022-05-27 09:06:32

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