A group of 300 people are being split into teams of 3 (where order of teams and order within a team don't matter) a) How many ways are there to do this? b) If the 300 people are actually 150 couples, and teams are randomly created, what is the expected number of teams containing married married couples?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A group of 300 people are being split into teams of 3 (where order of teams and order within a team don't matter) a) How many ways are there to do this? b) If the 300 people are actually 150 couples, and teams are randomly created, what is the expected number of teams containing married married couples?

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Why is 150 x 298 if one couple has been chosen? Shouldn't it be 149 x 298, since one couple has been chosen?

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