# How many ways can we arrange nos 1 to 9 in a 3x3 grid so that every number is greater than num above and num left of it.

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How many ways can we arrange the numbers 1 through 9 in a 3x3 grid such that the following conditions hold?
- Every number is greater than the number directly above it.
- Every number is greater than the number immediately to the left of it.

posted Sep 16, 2018
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## 1 Answer

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There is only one way to do that:
123
456
789
Any number on top row cant be replaced with one from below or any number on left column cant be replaced with one from right to meet those two conditions.

answer Sep 20, 2018

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