Question

Aaron is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, and a physics textbook. How many different ways can he line the textbooks up on his bookshelf?

Answer 1

Aaron can arrange his three textbooks in 6 different ways on his bookshelf, as calculated by the factorial method 3! which equals 3 x 2 x 1.

Step-by-step explanation:

Number of Ways to Line Up Textbooks

The question asks for the number of different ways Aaron can line up three different textbooks: a Spanish textbook, a math textbook, and a physics textbook. This is a problem of arranging a number of distinct items in order, and the solution involves calculating the number of permutations of the three books.

To find the permutations of n distinct items, we use the formula n! (n factorial), which means multiplying all whole numbers from n down to 1. In Aaron's case, he has 3! possible arrangements. Therefore:

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• 3! = 3 × 2 × 1
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• 3! = 6

So, Aaron can arrange his three textbooks in 6 different ways on his bookshelf.