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(a) Consider the 48-ball lottery game described above. In how many different ways can you select a sample of seven balls from a population of 48 balls? 07 073629072 063986723 054986812 048

(a) Consider the 48-ball lottery game described above. In how many different ways can you select a sample of seven balls from a population of 48 balls? 07 073629072 063986723 054986812 048

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Consider the 48-ball lottery game described above. In how many different ways can you select a sample of seven balls from a population of 48 balls? 07 073629072 063986723 054986812 048
Transcribed Image Text:Consider the 48-ball lottery game described above. In how many different ways can you select a sample of seven balls from a population of 48 balls? 07 073629072 063986723 054986812 048
Consider a 48-ball lottery game. In total there are 48 balls numbered 1 through to 48 inclusive. Seven balls are drawn (chosen randomly), one at a time, without replacement (so that a ball cannot be chosen more than once). To win the grand prize, a lottery player must have the same numbers selected as those that are drawn. The order of the numbers is not important so that if a lottery player has chosen the combination 1, 2, 3, 4, 5, 6 and 7, in order, the numbers 7, 5, 2, 4, 6, 3 and 1 are drawn, then the lottery player will win the grand prize (to be shared with other grand prize winners). You can assume that each ball has exactly the same chance of being drawn as each of the others.
Transcribed Image Text:Consider a 48-ball lottery game. In total there are 48 balls numbered 1 through to 48 inclusive. Seven balls are drawn (chosen randomly), one at a time, without replacement (so that a ball cannot be chosen more than once). To win the grand prize, a lottery player must have the same numbers selected as those that are drawn. The order of the numbers is not important so that if a lottery player has chosen the combination 1, 2, 3, 4, 5, 6 and 7, in order, the numbers 7, 5, 2, 4, 6, 3 and 1 are drawn, then the lottery player will win the grand prize (to be shared with other grand prize winners). You can assume that each ball has exactly the same chance of being drawn as each of the others.
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