SOLUTION: Are there more, less, or the same number of ways to change 7 ties to take with me thanks for your help

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Question 696552: Are there more, less, or the same number of ways to change 7 ties to take with me
thanks for your help

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how many ways can i choose a set of 4 ties to take with me on a trip, if i have 11 different ties to choose from
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11*10*9*8 = 7920
but, choosing ties A, B, C & D is the same as A, C, B & D so it's
7920/(4*3*2*1) = 330
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= 11!/((11 - 4)!*4!)
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I think you're referring to that problem.
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You can calulcate
11!/(11-7)!*7! and find it's also 330.
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Or consider it choosing 4 to leave.