Binomial Theore...

For every natural number n,n(n+1) is always

For every positive integer n.2ⁿ < n! when

For every positive integral value of n, 3ⁿ > n³ when

For natural number n, (n!)² > nⁿ , if

If p is a prime number, then n^p - n is divisible by p when n is a

The remainder left out when 8²ⁿ - (62)^{2n + 1} is divided by 9 is

7⁹ + 9⁷ is divisible by

The coefficients of x^r in the expansion of (1 – x)^–2 is

if |x| < 1 then the coefficient of xⁿ in the expansion of (1 + x + x² + ...)² will be