Question

A sub sandwich shop offers 16 toppings to choose from. How many ways could a person choose a 3-topping sandwich?

Answer 1

Answer:

D) 560 ways

Step-by-step explanation:

Use the combinations formula: nCr = n! / (r! * (n-r)!)

16 choose 3 = 16! / (3! * 13!)

take out 13! in the numerator and denominator:

(16 * 15 * 14) / 6 = 560

hope this helps! <3

Answer 2

The number of ways that a person could choose a 3-topping sandwich will be equal to 560. Hence, option D is correct.

What is a Factorial?

When a whole number is multiplied by each natural number underneath it, the result is known as its factorial. The symbol "!" can represent the idea of a factorial. As a result, "n factorial" is just n and is defined as the sum of the first n natural integers.

Use the formula for combination,

$^nC_r$ = n! / (r! × (n-r)!)

16 choose which means that: 3 = 16! / (3! × 13!)

13! must be removed from the numerator and denominator:

(16 × 15 × 14) / 6 = 560

To know more about Factorial:

brainly.com/question/8728422

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