Paper Company There are 15 employees, including Pam, Jim, Michael, and Stanley, at the Scranton branch of a paper company. The office would like to select 4 employees to be on the Party Planning Committee. In how many ways can the committee be formed? Pam and Jim would like to be on the committee together. In how many ways can the committee be formed so that Pam and Jim are both on the committee? All office employees (not just the committee members) decide to take a group photo. How many different ways can the employees line up for the photo with Michael in the first slot on the left? On Pretzel Day at the office, employees get a free soft pretzel and can choose up to 18 different toppings to put on their pretzel. Stanley decides to get 11 toppings on his pretzel, and the order of the toppings does not matter to him. How many different 11-topping pretzels are possible? Beginning in January, an “Employee of the Month” will be selected. In how many ways can the award be given for the next 12 months if no employee can win 2 months in a row?

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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Paper Company There are 15 employees, including Pam, Jim, Michael, and Stanley, at the Scranton branch of a paper company. The office would like to select 4 employees to be on the Party Planning Committee. In how many ways can the committee be formed? Pam and Jim would like to be on the committee together. In how many ways can the committee be formed so that Pam and Jim are both on the committee? All office employees (not just the committee members) decide to take a group photo. How many different ways can the employees line up for the photo with Michael in the first slot on the left? On Pretzel Day at the office, employees get a free soft pretzel and can choose up to 18 different toppings to put on their pretzel. Stanley decides to get 11 toppings on his pretzel, and the order of the toppings does not matter to him. How many different 11-topping pretzels are possible? Beginning in January, an “Employee of the Month” will be selected. In how many ways can the award be given for the next 12 months if no employee can win 2 months in a row?
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