6840, If there are 20 contestants in a beauty contest, in how many ways can a firstplace, a second-place, and third-place be awarded?, 120, In how many ways can six persons be seated around a circular table?, 24, In how many ways can 5 keys be arranged in a key ring? _, 1,108,800, In how many ways can a word PHILIPPINES can be arranged?, 3,628,800, In how many ways, can the race be finished with ten contestants if there are no ties?, 720, In the same race, in how many ways can the first three positions come in if there are no ties?

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