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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