Question

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.) 20

Answer 1

Number of possible sequence of 3 in 8 = 8P3 = 8! / (8-3)! = 336
36 were not assigned so number participants = 300 (answer).