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2. How many bit strings(strings of 1 or 0) of length 6 are there such that it contains at least 3 1s?

2. How many bit strings(strings of 1 or 0) of length 6 are there such that it contains at least 3 1s?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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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