Question

A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4-topping sandwich, if they cannot order double toppings?

234,256
88
7,315
175,500

Answer 1

7,315

Explanation:

To calculate the number of ways a person can choose a 4-topping sandwich without ordering double toppings, we can use the combination formula:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of toppings and r is the number of toppings to choose.

In this case, n = 22 (total toppings) and r = 4 (toppings to choose).

C(22, 4) = 22! / (4!(22 - 4)!)

= (22 * 21 * 20 * 19) / (4 * 3 * 2 * 1)

= 7315

So, there are 7,315 ways a person can choose a 4-topping sandwich without ordering double toppings from the sub sandwich shop. Therefore, the correct answer is:

7,315