A certain legislative committee consists of 10 senators. A

Chapter 3, Problem 90E

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QUESTION:

A certain legislative committee consists of 10 senators. A subcommittee of 3 senators is to be randomly selected. a. How many different such subcommittees are there? b. If the senators are ranked 1, 2,..., 10 in order of seniority, how many different subcommittees would include the most senior senator? c. What is the probability that the selected subcommittee has at least 1 of the 5 most senior senators? d. What is the probability that the subcommittee includes neither of the two most senior senators?

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QUESTION:

A certain legislative committee consists of 10 senators. A subcommittee of 3 senators is to be randomly selected. a. How many different such subcommittees are there? b. If the senators are ranked 1, 2,..., 10 in order of seniority, how many different subcommittees would include the most senior senator? c. What is the probability that the selected subcommittee has at least 1 of the 5 most senior senators? d. What is the probability that the subcommittee includes neither of the two most senior senators?

ANSWER:

Problem 90E Answer: Step1: We have A certain legislative committee consists of 10 senators. A subcommittee of 3 senators is to be randomly selected. Our goal is to find, a. How many different such subcommittees are there b. If the senators are ranked 1, 2,..., 10 in order of seniority, how many different subcommittees would include the most senior senator c. What is the probability that the selected subcommittee has at least 1 of the 5 most senior se

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