Intuit SDE-1/2/SDE-Intern OA Questions | Kumar K | December 2025 |Set 41

Question

You have a grid with n rows and 3 columns.

Each cell is colored with one of three colors:

R (Red)

G (Green)

B (Blue)

 

You want to count the number of valid ways to color the grid such that:

 

1. Row Constraint (No Monochrome Row)

No row may have all three cells the same color.

That is, the following row patterns are forbidden:

 

R R R

G G G

B B B

Every row must have at least two different colors.

 

2. Column Constraint (No Monochrome Column)

No column may have all n cells the same color.

In other words, for each of the 3 columns:

The n cells in that column cannot all be R

Cannot all be G

Cannot all be B

 

Every column must have at least two different colors somewhere among its n entries.

 

Goal:

Compute the number of valid n×3 grids that satisfy both constraints.

Answer 1

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