SOLUTION: You are buying a flower arrangement. The florist has 12 types of flowers, and 6 types of vases. If you can afford exacltly 3 types of flowers and need only 1 vase, how many diffe

Algebra ->  Algebra  -> Permutations -> SOLUTION: You are buying a flower arrangement. The florist has 12 types of flowers, and 6 types of vases. If you can afford exacltly 3 types of flowers and need only 1 vase, how many diffe      Log On

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Question 189209This question is from textbook algebra 2
: You are buying a flower arrangement. The florist has 12 types of flowers, and 6 types of vases. If you can afford exacltly 3 types of flowers and need only 1 vase, how many different arrangements can you buy?This question is from textbook algebra 2

Found 2 solutions by Mathtut, bhayzone:
Answer by Mathtut(3670) About Me  (Show Source):
Answer by bhayzone(8) About Me  (Show Source):
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You can select 3 distinct flowers from 12 in
12! / (3!)(9!) = 220 ways ----- A
With 1 vase you can have a combination of 220 flowers. Thus in 6 vases you can have 6 * 220 = 1320 combinations.