6. A pizza parlor offers 10 toppings.

a) How many 3 topping pizzas could they put on their menu? Assume double toppings are not allowed.

b) How many total pizzas are possible, with between 0 and 10 toppings? (Assume no double toppings.)

c) The pizza parlor will list the 10 toppings in two equal-sized columns on their menu. How many qays can they arrange the toppings in the left column?

7. On a business retreat, your company of 20 businessmen and businesswomen go golfing.

1. You need to divide up into foursomes (groups of 4 people): a first foursome, a second foursome, and so on. How many ways can you do this?

2. After all your hard work, you realize that in fact, you want each foursome to include one of the five Board members. How many ways can you do this?