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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Last Super Bowl weekend, there were 109 pizzas ordered for the sophomore dorm. That weekend 32 customers ordered their pizza with just pepperoni, 40 ordered their pizza with just sausage, 18 ordered theirs with just onions, 13 ordered theirs with pepperoni and sausage, 10 ordered theirs with sausage and onions, 9 ordered theirs with pepperoni and onions, and 7 ordered theirs with all three items. (a) How many customers ordered their pizza with pepperoni or sausage (or both)? (b) How many customers ordered their pizza with sausage or onions (or both)? (c) How many customers ordered a pizza without pepperoni, sausage, or onions?
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) 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?
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.)
A, B, C, D and E go on a holiday by car. (a) In how many different ways can they choose the seats in the car, if there are any five seats? Order matters. (b) Suppose a car has three back seats. In how many different ways do they can the people sitting in the back seats choose? The order doesn't matter. (c) A has promised to act as a car driver. In how many different ways can the rest of the people choose the seats in the car, if the car has seven seats (in addition to the driver's seat)?
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