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Chapter 12: Q23. (page 635)

Solve the problem in the comic strip below. Assume that the books are all different.

Short Answer

Expert verified

There are3,62,880 different ways nine bookscould be arranged on a shelf.

Step by step solution

01

Step 1. Given Information.

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

02

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脳8脳7脳6脳5脳4脳3脳2脳1=362880 different ways nine books could be arranged on a shelf.

03

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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