List of top Mathematics Questions on Binomial theorem asked in AP EAPCET

The coefficient of \(x^{12}\) in the expansion of \[ (x^2+x+2)^8 \] is

If the coefficients of the first, second, and third terms in the expansion of \( (1+x)^n \) are in the ratio \(1:20:190\), then \(n\) is equal to:

If the coefficient of \(x^2\) in the expansion of \[ (1+x)^5(1-x)^4 \] is \(k\), then \(k\) is equal to:

In a Binomial distribution, if \(n\) is the number of trials and the mean and variance are \(4\) and \(3\) respectively, then \[ 2^{32}\cdot P\left(X=\frac{n}{2}\right)= \]