I have 20 alphas, 20 betas and 10 gammas in alphabetical order. How many ways (in terms of outcomes not possibilities) can I then compile a second list of alphas, betas & gammas so that 50% of the second list match the orginal list order?
ie, an abbreviated example showing an acceptable outcome
The factorial coefficients in the denominator represent all the ways to fill a 3×3 matrix with nonnegative integers such that the sum of the first row and column is 20, the sum of the second row and column
Foreword (May 2015)
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