Question

You order a pizza at a restaurant. You can choose 3 toppings from a list of 10. There are ____ possible combinations.

A) 30
B) 120
C) 210
D) 1200

Answer 1

To determine the number of possible combinations when choosing 3 toppings from a list of 10, we use the concept of combination. The formula for combination is nCr = n! / (r!(n-r)!). Plugging in the values, we find that there are 120 possible combinations.

Step-by-step explanation:

To determine the number of possible combinations when choosing 3 toppings from a list of 10, we can use the concept of combination. The formula for combination is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen.

In this case, n = 10 (the total number of toppings) and r = 3 (the number of toppings being chosen). Plugging these values into the formula, we get 10C3 = 10! / (3!(10-3)!) = 10! / (3!7!) = (10 x 9 x 8) / (3 x 2 x 1) = 120. Therefore, there are 120 possible combinations of 3 toppings from a list of 10.