\(28\) random draws are made from the set \(\{1,2,3,4,5,6,7,8,9,A,B,C,D,J,K,L,U,X,Y,Z\}\) containing \(20\) elements.

Let \(P\) be the probability that the sequence

\(CUBAJULY1987\)

occurs in that order in the chosen sequence. If \(P\) can be expressed as \(\frac {a\times b^c-d\times b^e}{b^f}\), find \(a+b+c+d+e+f\).

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