10. Your cousin loves legos. She has legos that are all the same shape and look identical except that they come in three colors: red, blue, and green. (a) In how many ways can she build a tower using exactly four blue legos and eleven red legos? Include one or two sentences to explain your answer. (The tower is built up from the ground by placing legos one on top of the other.) (b) In how many different ways can she give you a bag of 20 red, blue, and green legos to take home, with at least one of each color? Include one or two sentences to explain your answer.
10. Your cousin loves legos. She has legos that are all the same shape and look identical except that they come in three colors: red, blue, and green. (a) In how many ways can she build a tower using exactly four blue legos and eleven red legos? Include one or two sentences to explain your answer. (The tower is built up from the ground by placing legos one on top of the other.) (b) In how many different ways can she give you a bag of 20 red, blue, and green legos to take home, with at least one of each color? Include one or two sentences to explain your answer.
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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Transcribed Image Text:10. Your cousin loves legos. She has legos that are all the same shape and look identical except
that they come in three colors: red, blue, and green.
(a) In how many ways can she build a tower using exactly four blue legos and eleven red
legos? Include one or two sentences to explain your answer.
(The tower is built up from the ground by placing legos one on top of the other.)
(b) In how many different ways can she give you a bag of 20 red, blue, and green legos to
take home, with at least one of each color? Include one or two sentences to explain
your answer.
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