Binomial Thm|C_0^2 + C_1^2 + C_2^2 + ... + C_n^2 = (2n)!/n!n! | Diploma M1| Class11| IIT-JEE

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prove that : 〖C_0〗^2 + 〖C_1〗^2 +〖C_2〗^2+………+〖C_n〗^2 = (2n)!/n!n! prove that : 〖C_0〗^2 + 〖C_1〗^2 +〖C_2〗^2+………+〖C_n〗^2 = (2n)!/n!n!
Prove that .^n C_0 . ^(2n) C_n-^n C_1 . ^(2n-2)C_n+^n C_2 . ^(2n-4)C_n-=2^ndot | CLASS 11 | BIN... Prove that .^n C_0 . ^(2n) C_n-^n C_1 . ^(2n-2)C_n+^n C_2 . ^(2n-4)C_n-=2^ndot | CLASS 11 | BIN...
IIT JEE BINOMIAL THEOREM Prove that `^n C_0^(2n)C_n-^n C_1^(2n-2)C_n+^n C_2^(2n-4)C_n-=2^ndot` IIT JEE BINOMIAL THEOREM Prove that `^n C_0^(2n)C_n-^n C_1^(2n-2)C_n+^n C_2^(2n-4)C_n-=2^ndot`
2C_0 + 2^2 (C_1)/(2) + 2^3 (C_2)/(3) + ………. + 2^(n+1) (C_n)/(n+1) = (3^(n+1) - 1)/(n+1) | CLAS... 2C_0 + 2^2 (C_1)/(2) + 2^3 (C_2)/(3) + ………. + 2^(n+1) (C_n)/(n+1) = (3^(n+1) - 1)/(n+1) | CLAS...
If (1 + x)^n = C_0+C_1x+C_2x^2 + ... + C_nx^n,then for n odd,C_0^2-C_1^2+C_2^2-C_3^2 + ... +(-1)... If (1 + x)^n = C_0+C_1x+C_2x^2 + ... + C_nx^n,then for n odd,C_0^2-C_1^2+C_2^2-C_3^2 + ... +(-1)...
If (1+x)^n = C_0 + C_1x + C_2x^2 + ……..+C_n.x^n then find C_1 - C_3 + C_5 + …… | 12 | BINOMIAL T... If (1+x)^n = C_0 + C_1x + C_2x^2 + ……..+C_n.x^n then find C_1 - C_3 + C_5 + …… | 12 | BINOMIAL T...
`C_0/(1.2)+C_1/(2.3)+C_2/(3.4)+........C_n/((n+1)(n+ 2))=` `C_0/(1.2)+C_1/(2.3)+C_2/(3.4)+........C_n/((n+1)(n+ 2))=`
If `(1+x)^n=c_0+C_1x+C_2x^2++C_n x^n `,using derivative prove that `C_1+2C_2++nC_n=n .2^(n-1)` ... If `(1+x)^n=c_0+C_1x+C_2x^2++C_n x^n `,using derivative prove that `C_1+2C_2++nC_n=n .2^(n-1)` ...