TOPIC: Problem Solving on Permutation and Combination.Analyze and Solve each problem.a) Out of 5 mathematicians and 7 engineers, a committee consisting of 2 mathematicians and 3 engineers is to be formed. In how many ways can this be done if one particular engineer must be in the committee?b) In a contest, there are 24 ways to choose the winners of the champion, the 1st runner-up, and the 2nd runner-up. How many contestants are there?c) In how many ways can the letters in "MATH IS FUN" be arranged if the first and the last letter must be vowels?

a) Out of 5 mathematicians and 7 engineers, a committee consisting of 2 mathematicians and 3 engineers is to be formed. In how many ways can this be done if one particular engineer must be in the committee?

a) Out of 5 mathematicians and 7 engineers, a committee consisting of 2 mathematicians and 3 engineers is to be formed. In how many ways can this be done if one particular engineer must be in the committee?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 4CC

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Question

TOPIC: Problem Solving on Permutation and Combination.

Analyze and Solve each problem.
a) Out of 5 mathematicians and 7 engineers, a committee consisting of 2 mathematicians and 3 engineers is to be formed. In how many ways can this be done if one particular engineer must be in the committee?
b) In a contest, there are 24 ways to choose the winners of the champion, the 1st runner-up, and the 2nd runner-up. How many contestants are there?
c) In how many ways can the letters in "MATH IS FUN" be arranged if the first and the last letter must be vowels?

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