teams with 45 people in team A and 55 people in team B. a) If 20 of the people are mathematicians and 80 are non-mathematicians, in how many ways can the teams be formed if all the mathematicians are in team A? b) In how many ways can the teams be formed if none of the mathematicians ark in team A?

teams with 45 people in team A and 55 people in team B. a) If 20 of the people are mathematicians and 80 are non-mathematicians, in how many ways can the teams be formed if all the mathematicians are in team A? b) In how many ways can the teams be formed if none of the mathematicians ark in team A?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must...

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Question

A group of 100 people is divided into 2 teams with 45 people in team A and 55 people in team B. a) If 20 of the people are mathematicians and 80 are non-mathematicians, in how many ways can the teams be formed if all the mathematicians are in team A? b) In how many ways can the teams be formed if none of the mathematicians ark in team A?

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