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What is 8P1 * 5C3?

 Mar 18, 2016
 #1
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What is 8P1 * 5C3?=[8!/(8-1)!] x [5!/(5-3)! 3!]=8 x 10=80

 Mar 18, 2016
 #2
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nPr  =  n! / (n - r)!     --->     8P1  =  8! / (8 - 1)!  =  8! / 7!  =  8

 

nCr  =  n! / [ (n - r)! · r! ]    --->     5C3  =  5! / [ (5 - 3)! · 3! ]  =  5! / [ 2! · 3! ]  =  10

 

So the answer is  8 x 10  =  80

 Mar 18, 2016

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