Binomial Theore...

The sum of the coefficients of even power of x in the expansion of (1 + x + x² + x³)⁵ is

The sum of the last eight coefficients in the expansion of (1 + x)¹⁵ is

The number 111 ....... 1(91) times is

The sum of coefficients in the expansion of (x + 2y + 3z)⁸ is

In the expansion of (1 + x)⁵⁰, the sum of the coefficients of odd powers of x is

In the expansion of (1 + x)⁵, the sum of the coefficient of the terms is

If (1 + ax)ⁿ = 1+ 8x + 24x² + ..., then the value of a and n is

The coefficient of x⁵ in the expansion of (1 + x²)⁵ (1 + x)⁴ is

The value of x in the expression [x + x^log₁₀(x)]⁵, if the third term in the expansion is 10,00,000