SOLUTION: (a) The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show.
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-> SOLUTION: (a) The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show.
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Question 1132167: (a) The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly and none of the 30 people are the same age, what is the probability that the 5 youngest people will be selected?
(b) Evaluate the expression.
11C4
(c) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many different subcommittees are possible?
(a) In all, there are = = 142506 different ways to select group of 5 persons from 30 persons.
The group of 5 youngest persons of 30 is the UNIQUE such group of 5 persons from 30, under given conditions.
So, the probability you are looking for is . ANSWER
(b) = .
Use your calculator.
(c) = = 28. ANSWER
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All these problems/questions are about COMBINATIONS.