Let S = {1, 2, 3, . . . , 29, 30}. How many subsets A of

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Let S = {1, 2, 3, . . . , 29, 30}. How many subsets A of S satisfy
(a) |A| = 5?
(b) |A| = 5 and the smallest element in A is 5?
(c) |A| = 5 and the smallest element in A is less than 5?
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