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Ordering Colored Houses Constraints

1175BeginnerCombinatoricsCounting Principles

AMC 12A · 2014 · Problem 3

Walking down Jane Street, Ralph passed four houses in a row, each painted a different color. He passed the orange house before the red house, and he passed the blue house before the yellow house. The blue house was not next to the yellow house. How many orderings of the colored houses are possible?

Answer choices

A
2
B
3
C
4
D
5
E
6
0 students attempted0% solvedRating 1175

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