Maths Olympiad Prep

Track / Stage 4 / 176 of 340 #436 of 1964

Problem 436

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

In Lake Swan, there are black swans and white swans, a total of 16. Among them, the number of young swans is greater than that of adult swans. The relationship of the number of swans is:
0<0< Adult White Swans < Young White Swans < Young Black Swans < Adult Black Swans. The number of young black swans is \qquad .

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

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Official solution

55

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