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Prove via induction the following properties of Pascal’s Triangle: •P(n,2)=(n(n-1))/2 • P(n+m+1,n) = P(n+m,n)+P(n+m?1,n?1)+P(n+m?2,n?2)+···+P(m,0) for all m ? 0

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Advance Math

Prove via induction the following properties of Pascal’sTriangle:

•P(n,2)=(n(n-1))/2

• P(n+m+1,n) = P(n+m,n)+P(n+m?1,n?1)+P(n+m?2,n?2)+···+P(m,0) forall m ? 0

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