If p and q be positive , then the coefficient of x^p and x^q in the expansion of ( 1 + x ) ^p+q will be

If nN ,then x^2n-1+y^2n-1 is divisible by

In the expansion of      , the term containing x⁴ is

ⁿc₀ - 1/2 ⁿc₁ + 1/3 ⁿc₂ - ........ + (-1)ⁿ  is equal to

The value of (1.002)¹² upto fourth place of decimal is

In the expansion of   , the coefficient of x^-10 will be

If in the expansion of (1 + x )ⁿ , the coefficient of r^th and (r + 2)^th term be equal , then r is equal to

If n is even , then the middle term in the expansion of  is 924 x6 , then n is equal to

If nN ,Then 2³ⁿ-1 is divisible by

The number of terms in the expansion (a + b + c)ⁿ will be