Answer to Question #58516 in Algebra for John

Question

7. Find the term that contains x^5 in the expansion of (2x+y)^20
8. Find the coefficient of x^8 in the expansion of (x^2 + 1/x)^10
9.Find the number of different ways of placing 15 balls in a row given that 4 are red, 3 are yellow, 6 are black and 2 are blue.
10. A pizza parlor offers the basic cheese pizza and a choice of 16 toppings. How many different kinds of pizza can be ordered at this pizza parlor?
11. A committee of seven - consisting of a chairman, a vice chairman, a secretary and four other members - is to be chosen from a class of 20 students. In how many ways can this committee be chosen?
12. What is the probability that in a class of 35 students, at least two have the same birthday?