Question

Suppose you are ordering a calzone from D.P. Dough. You want 4 distinct toppings, chosen from their list of 8 vegetarian toppings. How many choices do you have for your calzone

Answer 1

To find the number of choices for your calzone, you need to use the concept of combinations. In this case, you want to choose 4 distinct toppings from a list of 8 vegetarian toppings.

The formula for combinations is given by C(n, r) = n! / (r! × (n - r)!) where n is the total number of items and r is the number of items being chosen. Using the formula, we have C(8, 4) = 8! / (4! × (8 - 4)!)

= 8! / (4! × 4!) =

(8×7×6×5) / (4×3×2×1) = 70. So, you have 70 choices for your calzone.

Step-by-step explanation:

To find the number of choices for your calzone, you need to use the concept of combinations. In this case, you want to choose 4 distinct toppings from a list of 8 vegetarian toppings.

The formula for combinations is given by C(n, r) = n! / (r! × (n - r)!) where n is the total number of items and r is the number of items being chosen.

Using the formula, we have C(8, 4) = 8! / (4! × (8 - 4)!) = 8! / (4! × 4!) = (8×7×6×5) / (4×3×2×1) = 70.

So, you have 70 choices for your calzone.

Answer 2

1680

Step-by-step explanation:

Number of distinct Toppings wanted = 4

Total number of vegetarian topping = 8

To choose 4 distinct toppings from a total of 8

Using permutation :

nPr : n! (n - r)!

8P4 = 8! / 4!

8P4 = (8*7*6*5)

8P4 = 1680