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If the 11 letters A,B,..... K denote an ...

If the 11 letters `A,B,..... K` denote an arbitrary permutation of the integers `(1,2.....11),` then `(A-1)(B-2)(C-3).....(K-11)` will be

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c
Given set of numbers is {1,2,..11} in which 5 are even and six are odd, which signifies that in the given product, it is not possible to arrange but only to subtract the even numbers from odd numbers. There must be at least one factor involving subtraction of an odd number from another odd number. So at least one of the factors is even. hence, product is always even.
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