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August 5th, 2015, 10:30 PM   #1
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Analytical solution to consecutive inner sigma notations

Hey!

Does anyone know if there is any way to solve the equation in the image analytically? I have been working with this for some time now and cannot seem to get past this version of the equation :/

It is the probability to complete a game of memory in round (n/2 + N, n=amount of cards, N=number of errors) if the cards are flipped in a completely random manner. I have been working with this for some time now and cannot seem to get past this version of the equation.

Thank you very much for your help!

(rules for memory: flip two cards, put back if it does not match, take away if they match)
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