1. How many bit strings(strings of 1 or 0) of length 10 are there such that it contains exactly 5 1s?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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1. How many bit strings(strings of 1 or 0) of length 10 are there such that it contains exactly 5
1s?
Hint: To write a bit string of 5 1s, we put 1s into 5 of 10 positions of the string, and let the
other positions be 0. How many ways to do this?
2. How many bit strings(strings of 1 or 0) of length 6 are there such that it contains at least 3
1s?
Transcribed Image Text:1. How many bit strings(strings of 1 or 0) of length 10 are there such that it contains exactly 5 1s? Hint: To write a bit string of 5 1s, we put 1s into 5 of 10 positions of the string, and let the other positions be 0. How many ways to do this? 2. How many bit strings(strings of 1 or 0) of length 6 are there such that it contains at least 3 1s?
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