A coach splits a football team of 11 players into 1 goalkeeper, 3 defenders, 4 midfielders, and 3 forwards. How many different ways of doing this split are there?

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 1SC: If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
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A coach splits a football team of 11 players into 1 goalkeeper, 3 defenders,
4 midfielders, and 3 forwards. How many different ways of doing this split
are there?
Transcribed Image Text:A coach splits a football team of 11 players into 1 goalkeeper, 3 defenders, 4 midfielders, and 3 forwards. How many different ways of doing this split are there?
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