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e) A class has 12 students. In how many different ways can the students be put into lab groups consisting of 3 students in each group? f) In how many permutations of the digits 123456789 are the numbers 1 and 2 beside each other? g) A school has 480 girls and 520 boys. How many committees of 5 members can be formed if there must be at least 1 boy on each committee?

e) A class has 12 students. In how many different ways can the students be put into lab groups consisting of 3 students in each group? f) In how many permutations of the digits 123456789 are the numbers 1 and 2 beside each other? g) A school has 480 girls and 520 boys. How many committees of 5 members can be formed if there must be at least 1 boy on each committee?

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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Please help with e, f, and g! (Ans: e. 369600 f. 80640 g. 8042346130104)

5. Use the appropriate counting techniques to answer each of the following. a) Twenty books are to be placed on a shelf. Determine the number of ways the first five books can be placed on the shelf. b) In how many ways can nine people place themselves in nine seats in a row? c) Out of 15 different stores, how many ways can a salesperson visit 10 of the stores once each? d) A team consisting of 3 members is to be chosen from a group of 12 people. How many different teams are possible if there must be a chairperson, a secretary, and a treasurer? e) A class has 12 students. In how many different ways can the students be put into lab groups consisting of 3 students in each group? In how many permutations of the digits 123456789 are the numbers 1 and 2 beside each other? A school has 480 girls and 520 boys. How many committees of 5 members can be formed if there must be at least 1 boy on each committee? h) How many groups consisting of at least 2 people can be chosen from a group of 10 people? f) g)
Transcribed Image Text:5. Use the appropriate counting techniques to answer each of the following. a) Twenty books are to be placed on a shelf. Determine the number of ways the first five books can be placed on the shelf. b) In how many ways can nine people place themselves in nine seats in a row? c) Out of 15 different stores, how many ways can a salesperson visit 10 of the stores once each? d) A team consisting of 3 members is to be chosen from a group of 12 people. How many different teams are possible if there must be a chairperson, a secretary, and a treasurer? e) A class has 12 students. In how many different ways can the students be put into lab groups consisting of 3 students in each group? In how many permutations of the digits 123456789 are the numbers 1 and 2 beside each other? A school has 480 girls and 520 boys. How many committees of 5 members can be formed if there must be at least 1 boy on each committee? h) How many groups consisting of at least 2 people can be chosen from a group of 10 people? f) g)
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