# What is numerical value of the series

Given 26 constants labelled A to Z, let $A = 1$.

The rest of the constants have values that are equal to the position of that letter in the alphabet, raised to the power of the previous constant, so:

• $A = 1$
• $B$ (the letter in the second position) $= 2^A = 2^1 = 2$
• $C$ (the letter in the third position) $= 3^B = 3^2 = 9$
• etc.

Find the exact numerical value for this expression:

$(N-A) * (N-B) * (N-C) * ... * (N-Y) * (N-Z)$

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What do you mean with $N$? If it is a letter, then $0$ – Ilya Jun 8 '11 at 16:35
Well... the expression includes (N-N), does it not? – mixedmath Jun 8 '11 at 16:41

For the sake of having an answer: the expression is multiplied by the term $(N-N)$, which is zero, so the whole thing evaluates to zero.
There is an answer there too, but my hint is what happens around the letter $M$ in the product?