Question: Let x be a string of length n , and let y be a string of length n k , for 1 k < n

Let x be a string of length n, and let y be a string of length n k, for 1 k < n. We wish to line up the symbols in x with the symbols in y by adding k blanks to y. Suppose that we add two separate blocks of blanks, one of size i and one of size k i, for 1 i < k.

How many ways are there to do this?

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