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Question 4: Recursive Combinations (3 points) Given a set of n items, we can choose k of them in Ck ways. That is, if we
Question 4: Recursive Combinations (3 points) Given a set of n items, we can choose k of them in Ck ways. That is, if we have n=3 items (for instance, an apple, an orange, and a pear) and we want to select k=2 of them, there are 3C2 = 3 ways to do this an apple and an orange, an orange and a pear, or an apple and a pear). We can compute Ck recursively: k = {0, In-1 Ck-1 +r-1 Ck if k = 0, if n
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