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1. In how many ways can Maddy, Sterling Sunny, Tom, Adi, Jason, Kate, Lily, and Molly stand in line? a. 342,107 b. 358,521 c. 362,880 d. 390,942 2. How many ways can a president and vice-president be selected in a class of five students? a. 20 b. 24 d. 190 3. Participants 4, 5, 6, and 7 start a race. In how many different orders can they finish the race? b. 30 C. 49 d. 91 4. How many numbers can you form by arranging the numbers 5,6,7,8,9,3,1,4,2? a. 90,410 b. 90,720 c. 362,880 d. 386,434 5. In how many ways can the letters of the word "PROBLEM" be rearranged to make seven letter words such that none of the letters repeat? a. 720 b. 2520 c. 3600 d. 5040 6. There are 6 equally spaced points A, B, C, D, E and F marked on a circle with radius R. how many convex Pentagons of distinctly different areas can be drawn using these points as vertices? b. 540 d. 5,040 7. In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together? b. 36 c. 72 d. 144 8. In a country, bike ID's are made by 3 letters followed by 2 numbers from {0,1,2,3,4,5,6,7,8,9}. How many ways can bike ID's be arranged? a. 1,242,000 b. 1,252,079 c. 1,404,000 d. 1,579,500 9. How many five-digit bar codes can be formed from the numbers 2,3,4,6,8,9? b. 360 c. 720 d. 1080 10. How many ways can the letters in the word “LOVE” be arranged? b. 24 c.60 d. 120 a. 12
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