Question
The permutation formula can be used whether some of a set or all of a set are chosen.
True
False
True
False
Answers
GPT-4o mini
True
The permutation formula can be applied to both scenarios: when choosing some elements from a set and when choosing all elements from a set. The general permutation formula is given by \( P(n, r) = \frac{n!}{(n - r)!} \), where \( n \) is the total number of items, and \( r \) is the number of items to choose. If you choose all items, then \( r = n \), and the formula simplifies to \( n! \).
The permutation formula can be applied to both scenarios: when choosing some elements from a set and when choosing all elements from a set. The general permutation formula is given by \( P(n, r) = \frac{n!}{(n - r)!} \), where \( n \) is the total number of items, and \( r \) is the number of items to choose. If you choose all items, then \( r = n \), and the formula simplifies to \( n! \).