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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 30E
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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?
Transcribed Image Text: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?
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