Mixed Up Pizza Order
Standards Assessed: 1.1, 1.2, 4.1, 4.5, 5.3, 5.4
Name ________________________
Trigonometry
Directions: Savanna called to order a pizza. The clerk
at the store asked which toppings she would like.
There are 5 available: sausage, pepperoni, mushroom,
black olives, and onions. Savanna decided to order
sausage and mushroom. The clerk then asked Savanna
what size she would like: small, medium, or large. She
ordered medium.
After Savanna hung up the clerk forgot which toppings
she ordered. The clerk did remember that the order was
for two toppings, he just couldn’t remember which
two. The clerk decided to just randomly pick two and
hope it was right.
How many different two-topping pizzas are possible? What is the probability that
Savanna will get the pizza she ordered? Rewrite your answers using factorial notation.
Make sure you include an explanation with necessary computations, sketches, formulas,
and notes.
The clerk also realized he did not right down the size. How many different two-topping
pizzas are possible in three different sizes? What is the probability that Savanna will get
the pizza she ordered including the correct size? Rewrite your answers using factorial
notation. Make sure you include an explanation with necessary computations, sketches,
formulas, and notes.
Using only factorial notation, how many pizzas are possible for 14 toppings and 4 sizes?
Using only factorial notation, how many pizzas are possible for ‘T’’ toppings and ‘S’
sizes?