Solve, please use the provided formula sheet if using specific formulas. Thank you in advance!

6. A restaurant offers ice cream sundaes with 9 different topping choices. How many different three-topping sundaes can a customer order? (2 marks) 7. At Vinny's Pizzeria, customers can order the two-topping special in which 2 different toppings from an assortment of toppings that are used at the restaurant are added to a pizza. Vinny claims he can make 190 different special pizzas. How many different toppings are used at Vinny's Pizzeria? (2 marks) 8. A mixed volleyball team consists of 3 girls and 3 boys. If 7 girls and 8 boys try out for the team, how many different selections for the team are possible? (2 marks) Solve for n in the following equations. (3 marks) 9. (n+6)!=72(n+4)! 10. P2 = n C3 11. , PA = 12(, C3) Expand the following binomials. (4 marks) 12 . 6a-2 13 . (- 8x + 12 )s 14. What is the term in the expansion of (203 -b) that contains b2? (2 marks)For ax + bx + c=0, Trigonometry x=-b+vb -4ac 0 = " 2a tan 0 = sin 0 cot 0 = cos 0 Relations and Functions cos 0 sin 0 Graphing Calculator Window Format csc 0 = 1 sec 0 = - X: [*min' *max, *sell sin 0 cos 0 y: [ymin' ymax, ysell cot 0 = - 1 tan 0 Laws of Logarithms sin 0 + cos2 0 =1 logb (M X N) = logbM + log N 1 + tan 0 = sec20 (M) = log,M - 1ogbN 1 + cot2 0 = csc2 0 logb(M") = n logbM sin(a + B) = sina cosB + cosa sin B logbc = logaC log b sin(a - B) = sina cosB - cosa sin B cos(a + B) = cosa cosB - sin a sin B Growth/Decay Formula cos(a - B) = cosa cos B + sin a sin B y = abP tan(a + B) = tana + tan B General Form of a Transformed Function 1 - tan Q tan B y = af b (x - h ) + k tan(a - B) = tana - tan B 1 + tan Q tan B Permutations, Combinations, and sin(20) = 2 sina cos a the Binomial Theorem n! = n(n - 1)(n - 2)...3x 2x1, cos(2a) = cos a - sina where ne N and 0! = 1 cos(20) = 2 cos- a -1 n! ner (n-r)! cos(20) =1- 2 sina tan(20) = 2 tan a n Cr = 7 n! (n - r)!r! 1 - tan a In the expansion of (x + y)", written in y = asin b(x - c) + d descending powers of x, the general term y = acos b(x - c) + d is the+ 1 = n Ckx" -Ky&quot