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 sandwich combinations are possible?

If you have to choose a bread, a meat, and a cheese, how many possible sandwich combinations can you have? Explanation: You have 3 possible types of bread, 2 possible types of meat, and 2 possible types of cheese. Multiplying them out you get 3*2*2, giving you 12 possible combinations.

How many different pizza topping combinations are there?

Math Kid: Actually, there are 1,048,576 possibilities. Guy: Ten was just a ballpark figure. Old Guy: You got that right. Narrator: Little Caesar’s favorite five – not one, but two pizzas – choice of five toppings – $7.98 – pizza, pizza.

How many combinations of 6 toppings are there?

For example each number within the triangle is the sum of the two above it and this allows us to easily calculate the pizzas for up to 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 do you calculate different combinations?

Remember that combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! * (n – r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

How many combinations of 3 different toppings can a sandwich have?

A combination of 3 different toppings can be done in 56 ways. 4 toppings in 70 ways. 5 toppings in 56 ways. 6 toppings in 28 ways. 7 toppings in 8 ways. 8 toppings in 1 way. Originally Answered: A sandwich shop provides 8 different toppings, how many combinations will this result in?

How many different ways can you put toppings on a pizza?

Makes a difference. A combination of 2 different toppings can be done in 28 different ways. A combination of 3 different toppings can be done in 56 ways. 4 toppings in 70 ways. 5 toppings in 56 ways. 6 toppings in 28 ways. 7 toppings in 8 ways. 8 toppings in 1 way.

How many toppings do you get with 8 toppings?

If you have 8 topping you can first have 0 toppings so thats 1 + 2 of the 8 + 3 of the 8 and so on until you get 8 of the 8. This uses combinations instead of the method described above. So you have the 0 toppings + the combinations of 8 = 1 + 255 = 256.

What is the total number of possible combinations of 8 points?

The total number of combinations is then: 26 x 26 x 26 x 10 x 10 x 10 = 17,576,000 ≈ 18 million. If there are 8 points in a plane, and no 3 of the points lie along the same line, how many unique lines can be drawn between pairs of these 8 points?