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Mathematics, 03.01.2021 05:50 treylartigue

Boxes of heights 8 inches, 9 inches and 10 inches are available. There is an infinite supply of boxes in each of the three sizes. Every possible stack of six boxes with a unique stacking sequence is to be made once, such that each stack is one box wide and one box deep. If Steve is to select one of these stacks at random, what is the probability his stack is exactly 54 inches tall?

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