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. (b) How many 15-bit strings contain at least twelve 1's? (c) How many 15-bit strings contain at least one 1? (d) How many 15-bit strings contain at most one 1?
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. (b) How many 15-bit strings contain at least twelve 1's? (c) How many 15-bit strings contain at least one 1? (d) How many 15-bit strings contain at most one 1?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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,
(b) How many 15-bit strings contain at least twelve 1's?
(c) How many 15-bit strings contain at least one 1?
(d) How many 15-bit strings contain at most one 1?
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