Using contrapositive method prove that, if `n^(2)` is an even integer , then n is also an even integer.

If m is an even integer, show that m^(2) is also an even integer.

If n is an odd integer, prove that n^(2) is also an odd integer.

Use proof by contradiction to prove that if for an integer a, a^2 is even, then so is a.

Use proof by contradition to prove that if for an integer a, a^2 is even, then so is a.

Write the contrapositive of the statement : "If n is a prime number, then n is even".

Let a and b be integers By the law of contrapositive prove that if ab is even then either a is even or b is even.

In n is an even integer, which one of the following is an odd integer?

Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer, where n is a positive integer. (JEE-2004]

Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer, where n is a positive integer. (JEE-2004]

Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer, where n is a positive integer. (JEE-2004]