2022 AIME I Problems/Problem 9
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Problem
Ellina has twelve blocks, two each of red blue yellow green orange and purple Call an arrangement of blocks even if there is an even number of blocks between each pair of blocks of the same color. For example, the arrangement is even. Ellina arranges her blocks in a row in random order. The probability that her arrangement is even is , where and are relatively prime positive integers. Find .
See Also
2022 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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