18-02-2017
Mathematics

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How to solve for n using my knowledge of permutations

How to solve for n using my knowledge of permutations class=

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sheheryar91 sheheryar91

18-02-2017

NP5=18*N-2P4
N!/(N-5)!=18*(N-2)!/(N-6)!

(N(N-1)(N-2)!)/(N-5)*(N-6)!=18*(N-2)!/(N-6)!
N(N-1)/N-5=18
N^2-N=18N-90
N^2-19N-90=0
N=9,N=-10
-10 is not possible so N=9

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