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Olympiad workbook
Exam
Olympiad workbook
Subject
IOQM
Chapter
Permutation and Combination

Olympiad workbook · IOQM · Permutation and Combination

What is the number of ways in which one can choose 60 units square...

What is the number of ways in which one can choose 60 units square from a 11×1111 \times 11 chessboard such that no two chosen square have a side in common ?What is the number of ways in which one can choose 60 units square from a 11 × 11 chessboard such that no two chosen

Correct answer

62

Step-by-step solution

What is the number of ways in which one can choose 60 units square from a 11 × 11 chessboard such that no two chosen
Either select 60 black squares from 61 black square or select all 60 white squares ⇒\Rightarrow Total equal to 61C60+60C60=61+1=62{ }^{61} \mathrm{C}_{60}+{ }^{60} \mathrm{C}_{60}=61+1=62
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