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Problem Solving (PS) | Re: Each participant in a certain study was assigned a sequence

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nphilli1 wrote:

Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)

A 20
B 92
C 300
D 372
E 476


Since the order of the sequencing matters, the number of ways to choose and arrange 3 letters from
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