Question

To determine the number of ways to arrange items when order does matter but the items are not replaced is done with a permutation. True or false

Answer 1

True

Step-by-step explanation

When the order matters, the number of ways to arrange items is determined with a permutation. This way, sets of items with the same items but in different order are counted as different sets. For example, (blue, red, green) is not the same as (green, red, blue).

On the other hand, when order does not matter, the number of ways to arrange items is determined with a combination. This way, sets with the same items are counted as the same set. In the previous example, both sets have the same combination of colors, so they are counted as the same set.

Hence, it is true that when the order does matter, the number of ways to arrange items is determined with a permutation.