The chess club has five members.(a) In how many ways can all five members line up for a picture?(b) In how many ways can the club choose a president and secretary?(c) In how many ways can the club choose four members to attend the regional tournament, with no regard to order?(a) The club can line up in 120 ways.(b) The club can choose the officers20 ways.(c) The club can choose the members to send inways.

Answered: The chess club has five members. (a) In…

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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An English class consists of 24 students, and five are to be chosen to give speeches in a school competition. In how many different ways can the teacher choose the team, given the following conditions? (a) The order of the speakers is important.(b) The order of the speakers is not important.
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1. Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she arrange all 9 paintings? Show your work. (b) If she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.
A class has 32 students. In how many different ways can six students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the six students can form a group for an activity. (Type a whole number.)
a) Dave is choosing classes. He can choose from 4 different math classes, 3 different writing classes, and 7 different humanities classes. He needs to pick one of each of math, writing, and humanities. How many different schedules can Dave make? b) Dave goes to the squirrel farm to buy 6 squirrels. There are 19 different squirrels to pick from. How many ways can Dave choose the 6 he buys?
In a certain suburban neighborhood, 20 families own minivans, 27 families own BMW sedans, and 9 families own neither a minivan nor a BMW sedan. There are are 40 families in the neighborhood. a. How many families own a minivan or a BMW sedan? b. How many families own a minivan and a BMW sedan? Thank you!
A company is organizing a team-building event with various activities. There are 12 employees attending the event, and they need to be split into three teams: Team A, Team B, and Team C. Each team should have at least 2 members but no more than 6 members. In how many different ways can the teams be formed? (Note: The order of the teams doesn't matter; i.e., Team A, Team B, and Team C is the same as Team C, Team A, and Team B.)
Twelve classmates are taking a picture side by side. A. In how many ways can they take the picture if there are not restrictions? B. In how many ways can they take the picture if two best friends must stand side by side? C. Using the results from A and B, in how many ways can the best friends not stand side by side?
It’s the first day of summer camp, and the counselors are trying to figure out where one of the campers will sleep. There are four beds available in Cabin #1, five in Cabin #2, and just one in Cabin #3. How many ways in all are there to assign the camper to a bed?
An ice cream store has 25 flavors to select from. A customer walks in and orders a three-scoop ice cream cone. How many ways can the customer make this selection if... a. the flavors can be the same and the order is important? b. the flavors are different and the order is not important?

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