Maths · Simple applications
Find the number of ways of choosing two squares which are not adjacent in a ches
Find the number of ways of choosing two squares which are not adjacent in a \( 8 X 8 \) chess board
- A. 1904 ways
- B. 904ways
- C. 1004 ways
- D. 2904ways
Step-by-step solution
Total ways to choose 2 squares from 64 is C(64,2)=2016. Adjacent pairs: horizontal adjacent pairs per row (7), 8 rows → 56; vertical adjacent pairs per column (7), 8 columns → 56. Total adjacent = 112. Non-adjacent = 2016 - 112 = 1904.
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