सिद्ध कीजिए ""^(2n)C(n) + ""^(2n)C(n-1...

सिद्ध कीजिए
`""^(2n)C_(n) + ""^(2n)C_(n-1) = (""^(2n+2)C_(n+1))/(2)`

सिद्ध कीजिए ""^(2n)C(n) + ""^(2n)C(n-1) = (""^(2n+2)C(n+1))/(2)
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Prove that ^nC0^(2n)Cn-^n C1^(2n-2)Cn+^n C2^(2n-4)Cn=2^ndot
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Prove that (""^(2n)C(0))^2-(""^(2n)C(1))^2+(""^(2n)C(2))^2-.....+(-1)^...
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STATEMENT - 1 : If n is even, .^(2n)C(1)+.^(2n)C(3)+.^(2n)C(5)+"….."+....
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Prove that (.^(2n)C(0))^(2) - (.^(2n)C(1))^(2) + (.^(2n)C(2))^(2) - …....
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Prove that (""^(2n)C(0))^(2)-(""^(2n)C(1))^(2)+(""^(2n)C(2))-(""^(2n...
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सिद्ध कीजिए कि .^(2n)C(n)+^(2n)C(n-1) = 1/2*^(2n+2)C(n+1)
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Prove that (""^(2n)C(0))^(2)-(""^(2n)C(1))^(2)+(""^(2n)C(2))^(2)-…+(""...
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If n is a positvie integers, the value of E=(2n+1).^(n)C(0)+(2n-1)....
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