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(b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen is not important and that each number can only be chosen once. In total, how many combinations are there available that include the numbers 1, 2, 3 and 4 but NOT the numbers 5, 6 or 7?

(b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen is not important and that each number can only be chosen once. In total, how many combinations are there available that include the numbers 1, 2, 3 and 4 but NOT the numbers 5, 6 or 7?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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 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.
(b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen is not important and that each number can only be chosen once. In total, how many combinations are there available that include the numbers 1, 2, 3 and 4 but NOT the numbers 5, 6 or 7? 0101270 046 045 010660 014190
Transcribed Image Text:(b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen is not important and that each number can only be chosen once. In total, how many combinations are there available that include the numbers 1, 2, 3 and 4 but NOT the numbers 5, 6 or 7? 0101270 046 045 010660 014190
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