Question

74. There are 4 horizontal and 4 vertical lines, parallel and,
equidistant to one another on a board. What is the
maximum number of rectangles and squares that can be
formed?
(2017)
a) 16
b) 24
c) 36
d) 42
11.
hon
no​

Answer 1

Correct option (c) 36

Explanation:

The board will be a 3 × 3 one and will look as follows: We know that to form a square/rectangle we need 2 horizontal and 2 vertical lines. The number of ways in which 2 vertical lines may be chosen from 4 = 4C2 = (4 × 3)/2 = 6 Similarly, number of ways in which 2 horizontal lines may be chosen from 4 = 4C2 = (4 × 3)/2 = 6 Hence, the maximum number of squares and rectangles that can be formed = 6 × 6 = 36