Difference between revisions of "2024 AMC 8 Problems/Problem 16"

(Problem 16)
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==Problem 16 ==
 
==Problem 16 ==
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Minh enters the numbers <math>1</math> through <math>81</math> into the cells of a <math>9 \times 9</math> grid in some order. She calculates the product of the numbers in each row and column. What is the least number of rows and columns that could have a product divisible by <math>3</math>?
  
 
==Solution==
 
==Solution==

Revision as of 18:42, 25 January 2024

Problem 16

Minh enters the numbers $1$ through $81$ into the cells of a $9 \times 9$ grid in some order. She calculates the product of the numbers in each row and column. What is the least number of rows and columns that could have a product divisible by $3$?

Solution

These are just left here for future conveniency.

Video Solution 1 (easy to digest) by Power Solve

https://youtu.be/zxkL4c316vg