There is a group of 8 instructors and 13 new students at a university sports match. They wish to shake hands with each other. The instructors have already met the other instructors. The students have not met the other students, nor have they met any of the instructors. How many handshakes will there be if everyone in the group shakes hands with the people they have not met?

There is a group of 8 instructors and 13 new students at a university sports match. They wish to shake hands with each other. The instructors have already met the other instructors. The students have not met the other students, nor have they met any of the instructors. How many handshakes will there be if everyone in the group shakes hands with the people they have not met?

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...

See similar textbooks

Similar questions

Harry has to visit 10 cities. He can visit three in anyone day, and the order in which he visits themdoesn’t matter to him. How many different wayscan he select three cities from the ten?
The organizer of a conference is selecting workshops to include. She will select from 7 workshops about chemistry and 6 workshops about biology. In how many ways can she select 5 workshops if 4 or more must be about chemistry? 1 X
In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many family members own only a pet rabbit?
Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she have?
A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which to choose. In how many ways can the campsites be chosen?
There are 24 students playing basketball at lunch. How many different three-person teams can be chosen?
The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports reporter. How many ways can they be chosen?
Erin invited three couples to watch a theater musical sponsored by my husband. If the 6 VIP seats arranged in a row are given to them and the spouses are to be seated next to each other, evaluate how many ways can the six people be seated.
A teacher decided to buy breakfast for her students while welcoming them during the first day of class. From these students , 22 of them want to have cereal for breakfast, 11 want bread, and 5 want both. How many students want either cereal or bread?
A party room has a circular table with 12 seats. A group of 4 people enter the room. How many different ways are there for the 4 people to sit around the circular table? What if there must be at least one empty seat between each person?
Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6 books can you take? You can take different collections of 6 books on vacation with you.
Of 20 possible books, you plan to take 3 with you on vacation. How many different collections of 3 books can you take? You can take nothing different collections of 3 books on vacation with you.