For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200. 5. How many different bit strings of length 9... 5.1 ...contain at least three O's? 5.2 ...start and end with the same digit and contain at most two 1's? 5.3 ...start with a 1 or contain exactly four 0's? 5.4...contain at least four consecutive 1's?
For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200. 5. How many different bit strings of length 9... 5.1 ...contain at least three O's? 5.2 ...start and end with the same digit and contain at most two 1's? 5.3 ...start with a 1 or contain exactly four 0's? 5.4...contain at least four consecutive 1's?
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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