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Combinatorics

    (n,r)

C (n,2)=10

Find n

 Oct 23, 2016
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Combinatorics

    (n,r)

C (n,2)=10

Find n

 

 

\(\frac{n!}{2!*(n-2)!}=10\\ \frac{n!}{(n-2)!}=20\\ n(n-1)=20\\ n^2-n-20=0\\ (n-5)(n+4)=0\\ n=5 \qquad \text{Because n cannot be negative}\)

 Oct 23, 2016

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