Probability

A chessboard consists of 8×8 squares forming a square. A rook is unthreatened if there is no other rook in the same row or column. What is the probability that when 8 rooks are placed on a chessboard, none of them threatens another (they each stand in a different row and a different column)?

Final Answer:

p =  42.1488 %

Step-by-step explanation:

n=8!=40320 p=100 64+63+62+61+60+59+58+578 8+7 7+6 6+5 5+4 4+3 3+2 2+1 1=1215100%=42.1488%



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
See also our permutations calculator.
Would you like to compute the count of combinations?

You need to know the following knowledge to solve this word math problem:

combinatoricsplanimetryGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: