Consider a `6xx6` chessboard. Then match the following columns. Column I, Column II Number of rectangles, p. `^10 C_5` Number of squares, q. 441 Number of ways three squares can be selected if they are not in same row or column, r. 91 In how many ways eleven + sign can be arranged in the squares if no row remains empty, s. 2400

The number of ways in which 5 X's can be placed in the squares of the figure so that no row remains empty is:

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.

In how many ways the letters of the word DIPESH can be placed in the squares of the adjoining figure so that no row remains empty?

Find the number of ways in which letters A, A, A, B, B, B can be placed in the squares of the figure so that no row remains empty.

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

Consider the convex polygon, which has 35 diagonals. Then match the following column. Column I, Column II Number of triangles joining the vertices of the polygon, p. 210 Number of points intersections of diagonal which lies inside the polygon, q. 120 Number of triangles in which exactly one side is common with that of polygon, r. 10 Number of triangles in which exactly two sides are common with that of polygon, s. 60

Find the squares of the following numbers using column method. (I)25 (ii) 96

Find the squares of the following numbers using column method: (I)99 (ii) 89

Ten identical balls are distributed in 5 different boxes kept in a row and labeled A, B, C, D and E. The number of ways in which the ball can be distributed in the boxes if no two adjacent boxes remains empty

In a “magic square”, the sum of the numbers in each row, in each column and along the diagonal is the same. Is this a magic square?