Question: How many subsets of {1, 2, . . . , n} of size k contain no two consecutive integers? Hint: For this part, if you

How many subsets of {1, 2, . . . , n} of size k contain no two consecutive integers? Hint: For this part, if you take out k integers from this set, the remaining numbers are grouped into blocks in a natural way. How many blocks are there and what do we know about their sizes

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