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1. Four children are chosen from a class of 30 for a survey. How many ways can this be done?

1. Four children are chosen from a class of 30 for a survey. How many ways can this be done?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 4E: True or False? In counting combinations, order matters. In counting permutations, order matters. For...
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Combinations of n Objects Taken r at a Time If a choice of several objects involves selections that regard order as insignificant, the total number of selections, called combinations, is given by „C₁ = n! r!(n-r)! 1. Four children are chosen from a class of 30 for a survey. How many ways can this be done? 2. A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10 boys. How many distinct committees are possible to form? 3. There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select at least 4 defective light bulbs when you choose 6 light bulbs at random?
Transcribed Image Text:Combinations of n Objects Taken r at a Time If a choice of several objects involves selections that regard order as insignificant, the total number of selections, called combinations, is given by „C₁ = n! r!(n-r)! 1. Four children are chosen from a class of 30 for a survey. How many ways can this be done? 2. A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10 boys. How many distinct committees are possible to form? 3. There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select at least 4 defective light bulbs when you choose 6 light bulbs at random?
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