Find the number of ways in which we can choose 3 squares on a chess board such that one of the squares has its two sides common to other two squares.

The number of all possible squares in a chess board is

Find the number of ways in which the number 94864 can be resolved as a product of two factors.

Find the number of ways in which two small squares can be selected on the normal chessboard if they are not in same row or same column.

Find the number of ways in which A A A B B B can be places in the square of fig as shown, so that no row remains empty. fig

The number of ways in which we can choose two positive integers from 1 to 100 such that their product is a multiple of 3 is

Find the number of quadratic equations, which are unchanged by squaring their roots.

Two squares are chosen at random on a chessboard, the probability that they have a side in common is:

Find the number of ways in which two Americans, two British, one Chinese, one Dutuch, and one Egyptian can sit on a round table so that persons of the same nationality are separated.

Prove that in a right triangle, the square of the hypotenure is equal to the sum of the squares of the others two sides.