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A bag contains 20 white balls and 20 red...

A bag contains 20 white balls and 20 red balls (Assume that balls of same colour are distinguishable). Pairs of Balls are drawn at random without replacement until the bag is empty. The probability that each pair consists of one white ball and one red ball is `(a^(b)*(c!)^(d))/(e!)`, then find the no of proper divisors of `a+b+c+d+e`

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