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Show that nCr=nCnrfornr0.The triangle shown here is called Pascal’s triangle. Can you guess what the next two rows at the bottom are? Compare these numbers with the coefficients of binomial expansions. 111121133114641Explain why the sum of the entries in each row of Pascal’s triangle is a power of 2. (Hint: Let a=b=1 in the binomial theorem.)Explain why the alternating sum of the entries in each row of Pascal’s triangle (e.g., 14+64+1 ) is equal to 0.Show that nCr=nr+1rnCr1fornr1.Show that nCr1+nCr=n+1Crfornr1.