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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Combinatorics and 15-bit Strings** 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 1'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**
Transcribed Image Text:**Combinatorics and 15-bit Strings** 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 1'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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