After a late night of math studying, you and your friends decide to go to your favorite tax-free fast food Mexican restaurant, Burrito Chime. You decide to order off of the dollar menu, which has 7 items. Your group has $16 to spend (and will spend all of it).
a. Flow many different orders are possible? Explain. (The order in which the order is placed does not matter - just which and how many of each item that is ordered.)
b. Flow many different orders are possible if you want to get at least one of each item? Explain.
c. How many different orders are possible if you don't get more than 4 of any one item? Explain.