Maths Olympiad Prep

Track / Stage 4 / 188 of 340 #448 of 1964

Problem 448

AMC 12 late, AIME early
Combinatorics Difficulty 4.9 Find the answer

Find the number of the first type of circular permutations made from 2 aas, 2 bbs, and 4 ccs, where the 2 aas are not adjacent.

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

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Official solution

18. 39 .

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