1) You have a sample of 9 flowers from pea plants. (a) Suppose 7 of them are white, and 2 of them are purple. If you line them up in a row, how many different arrangements can you get? Note: WWWWWWWPP is one arrangement, WPWPWWWWW is another arrangement, and so on. You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this. (b) Now suppose 2 of them are white and 7 of them are purple. How many different arrangements can you get? (c) How many arrangements do you have for 1 white and 8 purple? (d) How many arrangements do you have for 0 white and 9 purple?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 59E
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1) You have a sample of 9 flowers from pea plants.

(a) Suppose 7 of them are white, and 2 of them are purple. If you line them up in a row, how many different arrangements can you get? Note: WWWWWWWPP is one arrangement, WPWPWWWWW is another arrangement, and so on. You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this.

(b) Now suppose 2 of them are white and 7 of them are purple. How many different arrangements can you get?

(c) How many arrangements do you have for 1 white and 8 purple? (d) How many arrangements do you have for 0 white and 9 purple?

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