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Q23.

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Algebra 2

Found in: Page 635

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

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.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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 $9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 362880$ 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.

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