in how many ways can you place a different books on a shell if there is pace enough for only 5 books? so your solution

Answer 1

To determine how many ways you can place 5 different books on a shelf that can hold exactly 5 books, you can use the concept of permutations.

When you have \( n \) different items, the number of ways to arrange \( n \) items is given by \( n! \) (n factorial), which is the product of all positive integers up to \( n \).

In this case, since you have 5 different books, the number of ways to arrange them on the shelf is:

\[ 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \]

So, there are 120 ways to arrange 5 different books on a shelf that can hold exactly 5 books.