(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 First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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