Evaluate each expression. 1. 8! = _______ 2. C(10, 4) = ________ 3. P(9,4)/ (7,2) = ________ 4. How many ways can 5 people be arranged in a line for pictures? A. 25 B. 5 C. 120 D. 5x5x 5x5x5 ways 5, In a class of 22 students, how many 4 person groups can be created for a science project? A. P(22,4) B. 22! C. C(22,5) D. 88 6. How many different passwords can be created. The password must contain exactly 4 letters followed by two digits. The letters cannot be repeated. The digits cannot include zero. Answer =................................................... 7. A menu offers 7 appetizers, 4 main dishes, and 3 desserts. How many different meals are possible? A. 7+4+3 ways B. 7!x4!x3! ways

C. P(7,4)xC(4,3) D. 84 8. In a deck of 52 cards, how many different 5 card hands can have 5 cards of the same suit? Answer =................... 9. . In a 15 person race, prizes are awarded to 1st though 4th place. How many ways can 1st through 4th be awarded? Answer =...................................... 10. How many ways can the letters in CALCULUS be arranged? Answer =............................................. 11. How many ways can 12 students win a race? A. 2 B. 5 C. 12 D. 13

12. How many ways can I arrange 5 books? A. 4 ways B. 10 ways C. 120 ways D. 150 ways 13. I can choose a red, blue, or green T-shirt, with a skirt or pants, a black, white, or green hijab, with or without a jacket. How many different choices do I have? A. 3 x 2 x 3 x 2 B. 3 x 1 x 2 x 3 C. 3 x 3x 0 x 1 D.

4 x 9 x 5x 3 1 4. How many ways can we arrange 7 people sitting on 3 chairs? A. 112 B. 157 C. 173 D. 210 1 5. How many ways can I arrange the letters of the word LORDINA? A. 5010 B. 5020 C. 5040 D.

5060 1 6. How many different license plates are possible if the first two places are numbers and the last two are letters, with repeating numbers or letters? A. 92942 B. 29823 C. 57291 D. 67600 1 7. Evaluate P(5,3) A. 20 B. 60 C. 57

D. 82 1 8. A briefcase lock has 3 rotating cylinders, each containing 10 digits. How many numerical codes are possible? A. 10 B. 30 C. 1000 D. 1200 1 9. From 15 entries in an art contest, a camp counselor chooses first, second, and third place winners. How many choices can be made? A. 2730 B. 15 C.

45 D. 8210 20. How many 6-character passwords can be formed if the first character is a digit and the remaining 5 characters are letters that can be repeated? A. 10x26x25x24x23x22 B. 10x26x26x26x26x26 C. 10x26! D. 260 21. If an event can occur in 'm' different ways, following which another event can occur in 'n' different ways, then the total numbers of occurrence of the events in the given order is __________________ a) m + n b) m - n c) m*n d) m/n

22. A child has 3 pencil and 3 erasers. In how many ways he can take a pencil and an eraser? a) 5 b) 6 c) 8 d) 9 23. If there are 4 paths to travel from Delhi to Kanpur, then in how many ways a person can travel from Delhi to Kanpur and came back to Delhi? a) 4 b) 8 c) 12 d) 16 Evaluate and write the answers 24. Evaluate C(5,5).................................... 25. Evaluate C(5,1)..................................... 26. Evaluate C(2,3)...................................... 27 Evaluate P(6,2).................................... 28. Evaluate P(12,6)..................................... 29. Evaluate C(7,5).................................. 30. Evaluate P(10, 9)..............................