Art of Problem Solving

2024 AMC 8 Problems/Problem 17: Difference between revisions

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==Solution 1==
==Solution 1==


==Video Solution by Math-X (First understand the problem!!!)==
==Video Solution 1 by Math-X (First understand the problem!!!)==
https://youtu.be/nKTOYne7E6Y
https://youtu.be/nKTOYne7E6Y


~Math-X
~Math-X
==Video Solution  (super clear!) by Power Solve==
==Video Solution 2 (super clear!) by Power Solve==
https://youtu.be/SG4PRARL0TY
https://youtu.be/SG4PRARL0TY

Revision as of 12:16, 26 January 2024

Problem

A chess king is said to attack all the squares one step away from it, horizontally, vertically, or diagonally. For instance, a king on the center square of a $3$ x $3$ grid attacks all $8$ other squares, as shown below. Suppose a white king and a black king are placed on different squares of a $3$ x $3$ grid so that they do not attack each other. In how many ways can this be done?

(A) $20$ (B) $24$ (C) $27$ (D) $28$ (E) $32$

Solution 1

Video Solution 1 by Math-X (First understand the problem!!!)

https://youtu.be/nKTOYne7E6Y

~Math-X

Video Solution 2 (super clear!) by Power Solve

https://youtu.be/SG4PRARL0TY