Difference between revisions of "2024 AMC 8 Problems/Problem 17"
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==Problem== | ==Problem== | ||
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| + | 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 <math>3</math> x <math>3</math> grid attacks all <math>8</math> other squares, as shown below. Suppose a white king and a black king are placed on different squares of a <math>3</math> x <math>3</math> grid so that they do not attack each other. In how many ways can this be done? | ||
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| + | (A) <math>20</math> (B) <math>24</math> (C) <math>27</math> (D) <math>28</math> (E) <math>32</math> | ||
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==Solution 1== | ==Solution 1== | ||
Revision as of 16:36, 25 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 
x grid attacks all 
other squares, as shown below. Suppose a white king and a black king are placed on different squares of a x grid so that they do not attack each other. In how many ways can this be done?
(A) 
(B) 
(C) 
(D) 
(E) 
