Difference between revisions of "2024 AMC 8 Problems/Problem 17"
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(A) <math>20</math> (B) <math>24</math> (C) <math>27</math> (D) <math>28</math> (E) <math>32</math> | (A) <math>20</math> (B) <math>24</math> (C) <math>27</math> (D) <math>28</math> (E) <math>32</math> | ||
| − | ==Solution 1== | + | ==Solution 1== by Math 645 |
Corners have 5 spots to go and 4 corners so 5*4=20. | Corners have 5 spots to go and 4 corners so 5*4=20. | ||
Revision as of 13:32, 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 
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== by Math 645
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
