The last 4 digits of the natural number 7¹⁰⁰ are

Tenth term of the expansion (2 x - y)⁷¹ is

If the ratio of the coefficient of third and fourth term in the expansion of (x - 1/2x )ⁿ is 1 : 2 , then the value of n will be

If C_r = , then is equal to

In the binomial expansion of (a - b)ⁿ, n ≥ 5, the sum of 5^th and 6th terms is zero, then a/b equals.

6th term in expansion of   is

The sum of the coefficient in the expansion of (1+x - 3 x²)²¹⁶³ will be

10ⁿ + 3.4^{n + 2} + 5 is divisible by

For all n ∈ N, n² + n is a

If  , then n + r is equal to