(Q). In how many ways 2 rooks can be placed on a chessboard such that they are not in attacking position?Solution:-We know that rooks can attack only in same row or in same column.The first rook has 64 options to be placed & since the second rook can not be placed...
(Q). Find the number of squares in a chess board of 10×12 Grid instead of 8×8 Grid. Solution:- total number of squares that can be found within an m×n chessboard (m>n) is given by this formula: Here m = 12 & n = 10Hence required number of square is: = 495 ...
(Q). Find the number of rectangles in a chess board of 12×14 grid instead of 8×8 grid. Solution:-2 lines can be selected from 12 parallel lines in ¹²C₂ ways.2 lines can be selected from 14 parallel lines in ¹⁴C₂ ways.Hence number of rectangles = ¹²C₂×¹⁴C₂ ...
(Q). Find the number of rectangles in a chess board of 11×11 grid instead of 8×8 grid.Solution:-Chess board has 11 + 1 = 12 set of parallel lines & another set of 11 + 1 = 12 set of parallel lines.Hence number of rectangle = ¹²C₂ × ¹²C₂ ...
(Q). Let Kₙ denotes the number of triangles which can b formedusing the vertices of a regular polygon of ‘n’ sides. Which one of the following could be the value of Pₙ₊₁ – Pₙ₋₁? (a) 194 (b) 195 (c)196 (d)...
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