Coefficient of x^n in the expansion of (...

Coefficient of `x^n` in the expansion of `(1+x)^(2n)` is

A

`,^(2n)C_n`

B

`2^n`

C

`(2n!)/(n!)^2`

D

`C_0^2+C_1^2+C_2^2+....+C_n^2`

Verified by Experts

The correct Answer is:

A, C, D

BASIC MATHEMATICS
PATHFINDER|Exercise QUESTION BANK |266 Videos
BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION
PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

Coefficient of x^n in the expansion of (a+x)^(2n)

Prove that the coefficents of x^(n) in the expansion of (1+x)^(2n) is twice the coefficent of x^(n) in the expansion of (1+x)^(2n-1) .

'Prove that the co-efficient of x^n of the expansion of (1+x)^(2n) is the double of the coefficient of x^n of the expansion of '(1+x)^(2n-1)'

If A and B are coefficients of x^n in the expansions of (1+x)^(2n) and (1+x)^(2n-1) respectively, then A/B is equal to

If a_1, a_2 are the coefficients of x^n in the expansion of (1+x)^(2n) & (1+x)^(2n-1) respectively then a_1:a_2 will be

The coefficient of x^(m) in the expansion of (1+x)^(m+n) is -

The coefficient of x^n in the expansion of (1+x)(1-x)^n is

If n is a positive integer then the coefficient of x ^(-1) in the expansion of (1+x) ^(n) (1+ (1)/(x)) ^(n) is-

If a _(r) is the coefficient of x^r in the expansion of (1+ x+x^(2)) ^(n), then the value of a_(1)- 2a_(2) +3a_(3)-4a_(4)+…-2na_(2n) is -

The coefficient of x^5 in the expansion of (1+x^2)(1+x)^4 is