Question 3 (1 point) Solve for the variable: nC, = 252 6 A) 15 B) 5 C) 6 D) 10 Question 5 (1 point) Solve for n in the expression ,n C4, Xn,P4, = 117600. A) 18 B) 16 C) 9 D) 8 Question 6 (1 point) Rachael has a digital music player that holds 800 songs. She has 1500 songs in her music library. She decides that her 50 favorite songs must be on the player. Which expression can be used to calculate the number of ways can she load songs on to the MP3 player so that it is full? A)800 C 59 B) 1450 C 750 C)1500 C50 D) 1500 C 800 Question 7 (1 point) For a mock United Nations, 6 boys and 7 girls are to be chosen. If there are 12 boys and 9 girls to choose from, how many groups are possible? A) 846 720 B) 33 264 C) 960 D) 120 708 403 200 Question 8 (1 point) Jenni and Hari go to a local Chinese restaurant for dim sum. If there are 20 items on the menu, and Jenni orders 7 items and Hari orders 11 items, which expression represents the total number of choices between them? A)(11!) (7!) B) 20 C7 X 20 C11 C)20 P 7 X 20P 11 D)201/9!13! Question 9 (1 point) Determine the coefficient, a, for the term ax^5y^7of the binomial expansion of (x+y)12. A)35 B) 60 C)792 D) 3 991 680 Question 10 (1 point) For which of the following terms is a = 55 in the expansion of (x+ y)11? A) ax^3y8 B) ax^8y43 C)ax^2y^9 D) ax^11