1) How many ways can the 3 potted plants be arranged in a row? a) 3 b) 4 c) 6 2) How many ways can 5 books be arranged in a shelf? a) 120 b) 50 c) 25 3) In how many ways can the butterflies be arranged in a row? a) 120 b) 720 c) 5040 4) How many ways can this group of friends sit in a row for group photo? a) 36 b) 720 c) 320 5) If 15 young ladies compete for the first three most beautiful ladies in a pageant, in how many ways can they win the first, second, and third places, assuming there are no ties? a) 2730 b) 2370 c) 2340 6) A company is hiring people to fill Math 8, Math 9, and Math 10 faculty positions. In how many ways can the 3 positions be filled if there are 11 applicants? a) 1320 b) 990 c) 720 7) A display case can hold 8 trophies. In how many ways can the trophies be displayed if there are 12 trophies available? a) 19, 958, 400 b) 3, 991, 680 c) 51, 891, 840 8) Five students will be chosen from a group of 15 to be President, Vice President, Secretary, Treasurer, and Auditor of the class. In how many ways can this be done? a) 32, 760 b) 3, 603, 600 c) 360, 360 9) There 5 rotating cylinders in a briefcase lock, each containing numbers 1 to 5. How many numerical codes are possible? a) 3, 125 b) 120 c) 625 10) In how many ways can an advertising agency promote 10 items 5 at a time during 2-minute periods of commercial break? a) 32, 400 b) 30, 240 c) 30, 420
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