Use the method of Example 9.5.10 to answer the following questions. (a) How many 15-bit strings contain exactly seven 1's? The number of 15-bit strings that contain exactly seven 1's equals the number of ways to choose the positions for the l's in the string, namely, 6435 (b) How many 15-bit strings contain at least twelve 1's? 576 (c) How many 15-bit strings contain at least one 1? 32767 (d) How many 15-bit strings contain at most one 1? 32769

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