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How many ways are there to represent a positive integer n as a sum of (a)...

How many ways are there to represent a positive integer n as a sum of (a) k non-negative integers? (b) k positive integers? Note: the order of summation matters. For example, take n = 3, k = 2. Then the possible sums in (a) are 3+0, 2+1, 1+2, 0+3

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