The number of squares that can be formed on a chess board is

Assertion: Number of different squares which can be formed on a chess board is 204. Reason : Number of ways in which r consecutive squares can be selected from n squares in a row is (n-r) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: Number of different squares which can be formed on as chess board is 204. Reason Number ways in which r consecutive squares can be selected from n square in a row is (n-r) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

The number of rectangles formed in a chess board is

(i) Find the number of reatangles of any size in a chess board (ii) Find the number of squares of any size in a rectangle of size 8xx 5 .

(i) Find the number of reatangles of any size in a chess board (ii) Find the number of squares of any size in a rectangle of size 8xx 5 .

The number of rectangles which are not squares formed in a chess board is

Find the number of squares in chess board.

(i)If four squares are chosen at random on a chess board, find the probability that they lie on diagonal line. (ii) If two squares are chosen at random on a chess board, what is the Probability that they have exactly on corner in common? (iii) If nine squares are chosen at random on a chess board, what is the probability that they form a square of size 3x3?