The number of ways that a person could choose a 3-topping sandwich will be equal to 560. Hence, option D is correct.
<h3>What is a Factorial?</h3>
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,
= 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:
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