This week's POW

Due November 10th:

Name _______________________________________ November 3, 2008

Choose one option. Please show all work on the back or on a separate sheet of paper.

OPTION 1:

The exclamation point (!) is also used as a mathematical symbol, as in 5! (read as 5 factorial), in which 5! = 5 x 4 x 3 x 2 x 1 = 120 and 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. Find the quotient:

15! / 13!


OPTION 2:

My parents’ pizza restaurant, Rosati’s Pizza, has 10 different toppings for its cheese pizza: mushrooms, peppers, pepperoni, spinach, onion, anchovies, pineapple, olives, beef, and garlic. How many different kinds of pizza can be made by varying the combination of toppings? (Hint: Try the same kind of problem with 1 topping, then 2 toppings, and so on, and look for a pattern.)