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Expert-verified Found in: Page 635 ### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903 # Solve the problem in the comic strip below. Assume that the books are all different. There are 3,62,880 different ways nine books could be arranged on a shelf.

See the step by step solution

## Step 1. Given Information.

It is to be determined in how many ways nine books could be arranged on a shelf.

## Step 2. Calculation.

There are a total of 9 books.

When one of the books is put in first place, 8 remain to be put in the next place, then 7, and so on.

By the Fundamental Counting Principle, there are $9×8×7×6×5×4×3×2×1=362880$ different ways nine books could be arranged on a shelf.

## Step 3. Conclusion.

Hence, by Fundamental Counting Principle, there are 3,62,880 different ways nine books could be arranged on a shelf. ### Want to see more solutions like these? 