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PartA Identify the letter of the choice that best completes the statement or answers the question by circling your choice. [1 mark each] 1. Which statement is equivalent to (130)? 9 9 10 10 10! 10! a. (2)"'(3) b.(2)+(3) c.? d.z 2. Which of the following is equivalent to 10Cg? 10! 10! 10! 10! a. b. ey d. 4! 416! 6! (6-4)! 3. Which row of Pascal's Triangle sums to 8192 a. 11 b. 12 c. 13 d. 14 4. How many terms are there in the expansion of (2a - 3b). a. 2 b.6 c.7 d.8 5. How many ways could a group of 10 people choose a president, VP, and treasurer for their club? 10! a. 10P3 b.10C3 3! d o7 6. How many groups of at least 5 fish could you choose from a fishtank containing 8 unique fish? a. 93 b. 56 . 6720 d. 120 7. In how many ways can the letters of the word KABOOOM be arranged? a. 840 b. 5040 c. 240 d. 24 8. How many 5 card poker hands contain only face cards. a. 479001600 b.120 c. 2598960 d. 792 9. The coefficients of the last two terms in the expansion of (@ b) are: a. -61 b.-7,1 c.7,-1 d. 6, -1 10. In how many ways could you add vegetables to your sub at Subway if the choices are lettuce, tomatoes, onions, pickles, olives, mushrooms, and banana peppers? a. 127 b. 5040 c. 128 d. 5039 Part B -2 marks each 11. Evaluate sl o (%) dea 12. Using any of the combination notations, write a combination equal to the following: a)10Ce b) C(16,5) C(15,4) c) (23021) + (23031 Part C - Each question is marked on a 4-point scale. Please show all your thinking for full marks. 13. How many permutations of the letters in the word MATHEMATICS begin with the letter T? 14. A coin is flipped 20 times. What is the probability of flipping 5 heads and 15 tails in any order? 15. A committee of 4 people is to be made from a group of 8 boys and 13 girls. In how many ways can the committee have an equal number of boys and girls