Track / Stage 4 / 164 of 340 #424 of 1964

Problem 424

AMC 12 late, AIME early

Combinatorics Difficulty 4.8 Find the answer

A $2 \times 3$ rectangular flower bed is divided into six $1 \times 1$ square regions: $A, B, C, D, E, F$ . Each region is planted with one type of plant, and adjacent regions must have different plants. Given 6 types of plants to choose from, there are $\qquad$ different planting schemes.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

$10.13230$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.