I was just wondering how I would evaluate something like:

(1/2 choose 1)

or

(1/2 choose 2)

I've never seen fractions in binomial coefficients.

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- September 19th 2010, 12:41 PMeXistEvaluting Binomial Coefficients that contain fractions?
I was just wondering how I would evaluate something like:

(1/2 choose 1)

or

(1/2 choose 2)

I've never seen fractions in binomial coefficients. - September 20th 2010, 05:29 AMHallsofIvy
Wikipedia

Binomial coefficient - Wikipedia, the free encyclopedia

talks about that way down the page at "Binomial Coefficient with n= 1/2".

Essentially, you write as with the difference that since n is not an integer, you never end at "1" or "n- m+1". Instead, you get an infinite product which must be shown to have a finite value.

Wikipedia gives, explicitely,