Determine the number of permutations​ (arrangements) possible of things taken at a time.

1 answer

It looks like you've missed including the specific numbers in your question. Normally, to determine the number of permutations of \( n \) things taken \( r \) at a time (where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose), we use the formula for permutations, which is given as:

\( P(n, r) = \frac{n!}{(n-r)!} \)

Here, \( n! \) (n factorial) is the product of all positive integers from \( 1 \) to \( n \), and \( (n-r)! \) is the product of all positive integers from \( 1 \) to \( (n-r) \).

If you provide specific values for the number of things (\( n \)) and the number taken at a time (\( r \)), I can calculate the exact number of arrangements for you.