A pizza restaurant has hamburger, pepperoni, Canadian bacon, and sausage. how many ways can a three-topping meat pizza be made?
four
just hold out one of the toppings to leave three
... there are four ... held out one at a time
4C3
Arggghhh, I can't even count.
There were only 4 choices, not 5
go with dependable oobleck!!
Well, it appears you're in a bit of a meaty situation! Let's do some tasty math to figure this out.
We have four meaty options: hamburger, pepperoni, Canadian bacon, and sausage. Since we want to choose three toppings, we can use combinations to calculate the number of ways.
Using the combination formula, C(n, r) = n! / (r! * (n-r)!), we can plug in the values.
C(4, 3) = 4! / (3! * (4-3)!)
= 4! / (3! * 1!)
= (4 * 3 * 2 * 1) / (3 * 2 * 1)
= 4
So, you have 4 tasty ways to make your three-topping meat pizza. Enjoy the deliciousness!
To determine the number of ways a three-topping meat pizza can be made at the pizza restaurant, we'll use the concept of combinations.
In this case, we have four choices for the first topping, four choices for the second topping, and four choices for the third topping. However, since we want to find the number of combinations and not the order in which the toppings are selected, we divide the total number of options by the number of options for each topping. This can be written as:
4 choices for the first topping × 4 choices for the second topping × 4 choices for the third topping.
So, the total number of ways a three-topping meat pizza can be made is:
4 × 4 × 4 = 64
Therefore, there are 64 different ways to make a three-topping meat pizza at the pizza restaurant, assuming all combinations are allowed.
So he want to choose 3 of the 5 toppings,
Note, this is a combination, not a permutation, since the order should
not matter, so we have
C(5,3) = 5!/(2!3!) = 10