Question

Decide if the situation involves​ permutations, combinations, or neither. Explain your reasoning. The number of ways 13 people can line up in a row for concert tickets. Does the situation involve​ permutations, combinations, or​ neither? Choose the correct answer below.

Answer 1

Explanation:

The situation involves permutation. Permutation deals with arrangements of objects. It talks about ways peoples or objects can be arranged with or without restriction. According to the question,

The number of ways 13 people can line up in a row for concert tickets can be expressed as

13! = 13 * 12 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

13! = 6,227,020,800 ways

Hence the number of ways 13 people can line up in a row is 6,227,020,800 different ways and the situation involves permutation.