# Algebra

posted by .

A pizza place sells five topping pizzas with the following options. Crust: Classic, Crispy Toppings: Extra cheese, pepperoni, sausage, onions, banana peppers, jalapenos, tomatoes, fresh herbs, mushrooms, black olives.

What is the probability that a customer will order a five topping pizza including onions, jalapenos, and tomatoes?

Explain how to do it in word please?

• Algebra -

Again the crust will not change the probability.

Here the customer chooses 5 toppings out of 10 in C(10,5)=10!/(5!5!)=252 ways. This is the sample space.

If the customer is to have onions, jalapenos and tomatoes, he has two other choices out of 7 remaining toppings in C(7,2)=7!/(2!5!)=21 ways.

The probability is therefore:
21/252=1/12

## Similar Questions

1. ### Language

are the nouns in the following sentence, toppings, pepperoni, Italian, sausage, black, olives, green, peppers, onions, mushrooms or would I leave out the colors (I think they're adjectives) She always ordered extra toppings, like pepperoni, …
2. ### probability

A pizza shop offers nine toppings. No topping is used more than once. What is the probability that the toppings are pepperoni, onions, olives, and mushrooms?
3. ### probability

A pizza shop offers nin toppings. No topping is used more than once. What is the probability that the toppings are pepperoni, onions, olives, and mushrooms?
4. ### math

pepi's pizza has a choice of thin crust or thick crust. The available toppings are mushrooms, onions, pepperoni and sausage. Make a tree diagram showing the possible outcomes for a 1 topping pizza.
5. ### Algebra 2:)

A pizza place sells five topping pizzas with the following options. Crust: Classic, Crispy Toppings: Extra cheese, pepperoni, sausage, onions, banana peppers, jalapenos, tomatoes, fresh herbs, mushrooms, black olives What is the probability …
6. ### Statistics

Pine Pizza Palace sells pizza plain or with one or more of the following toppings: pepperoni, sausage, mushrooms, olives,onions, or anchovies. (six toppings or plain) How many different pizzas can be made?
7. ### math

One weekend, there were 95 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 17 customers ordered their pizza with just sausage, 18 ordered theirs with just onions, 15 ordered …
8. ### stats

A pizza can be made with any of the following toppings: cheese, pepperoni, sausage, mushrooms, anchovies, green peppers, or olives. How many different three-topping pizzas can be made?
9. ### math

Erica started her own pizza restaurant. She offers one type of crust, one kind of sauce and 6 different toppings: sausage, pepperoni, mushroom, onions, green peppers and tomatoes. How many different two-topping pizzas can she make?
10. ### math

Erica started her own pizza restaurant. She offers one type of crust, one kind of sauce and 6 different toppings: sausage, pepperoni, mushroom, onions, green peppers and tomatoes. 1. How many different two-topping pizzas can she make?

More Similar Questions