Difference between revisions of "2024 AMC 8 Problems/Problem 17"
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==Solution 1== | ==Solution 1== | ||
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| + | Corners have 5 spots to go and 4 corners so 5*4=20. | ||
| + | Sides have 3 spots to go and 4 sides so 3*4=12 | ||
| + | 20+12=32 in total. | ||
| + | E (32) is the answer. | ||
==Video Solution 1 by Math-X (First understand the problem!!!)== | ==Video Solution 1 by Math-X (First understand the problem!!!)== | ||
Revision as of 12:32, 26 January 2024
Contents
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) 
Solution 1
Corners have 5 spots to go and 4 corners so 5*4=20. Sides have 3 spots to go and 4 sides so 3*4=12 20+12=32 in total. E (32) is the answer.
Video Solution 1 by Math-X (First understand the problem!!!)
~Math-X
