How many ways can you choose 3 toppings for your pizza if there are 7 different options?

1 Expert Answer It should be pretty obvious that you have 3 choices for the crust and 3 choices for the cheese, so you have a total of 3*3 = 9 choices for these 2 parts of the pizza. The number of ways to choose 3 toppings from 7 options is given by 7C3, which is read “7 choose 3”.

How many ways can 3 pizza toppings be chosen from 10 available toppings?

We must choose (in no particular order) 3 out of the 10 toppings. \(2^{10} = 1024\) pizzas. Say yes or no to each topping. \(P(10,5) = 30240\) ways.

How many combinations of 8 options are there?

40,320 different combinations
Enter your objects (or the names of them), one per line in the box below, then click “Show me!” to see how many ways they can be arranged, and what those arrangements are. Note: 8 items have a total of 40,320 different combinations.

How many pizzas can be made with 6 toppings?

And, not surprisingly, these numbers sum to a power of 2, so there are 64 pizzas that can be made with up to 6 toppings.

How many pizzas can you make with 6 toppings?

How many combinations can you make with 3 numbers?

There are exactly 1,000 possible combinations for a 3-digit code. There are 10,000 combinations possible for a 4-digit code.

How many different pizzas can you make with 3 different toppings?

Assuming you get 3 different toppings: The first topping has 12 choices, the second 11, and the third 10 = 12*11*10=1,320. Then, assuming that the order in which you choose the toppings isn’t relevant, we need to remove the ordering of 3 things, which can be done in 3!=6 ways, so 1320/6=220 possible pizzas.

How many ways can one pizza be ordered?

You need to add up the number of ways to order the pizza with 0 toppings, 1 toppings, 2 toppings, 3 toppings, 4 toppings, and 5 toppings. The way to calculate this is to add up the number of combinations as follows: This means one pizza can be ordered in 1,024 ways.

How many different 3-topping combinations are there?

But they are not different, so we must consider how many different ways to arrange 3 toppings: 3 first toppings. 1 third topping. 3*2*1=6. Divide the possible combinations by the duplicates: 2730/6=455. There are 455 different 3-topping combinations out of 15 different toppings.

How many different ways can you repeat a toppings?

If toppings can be repeated and order is important, number of ways (permutations) = 12^3 = 1,728. This number includes 12 ways with 3 identical toppings+12*11* (3!/2!) = 396 ways with 2 identical and 1 different toppings+1,320 ways with 3 different toppings = 1,728 permutations.