From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no restrictions? b) With 1 man and 2 women? c) With 2 men and 1 woman if a certain man must be on the committee?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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3) From a group of 4 men and 5 women, how many committees of size 3 are possible
a) With no restrictions?
b) With 1 man and 2 women?
c) With 2 men and 1 woman if a certain man must be on the committee?
4) From 4 red, 5 green, and 6 yellow apples, how many selections of 9 apples are possible if 3 of
each color are to be selected?
Transcribed Image Text:3) From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no restrictions? b) With 1 man and 2 women? c) With 2 men and 1 woman if a certain man must be on the committee? 4) From 4 red, 5 green, and 6 yellow apples, how many selections of 9 apples are possible if 3 of each color are to be selected?
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