Question: How many ways can you arrange 3 books on a shelf?
Options:
3
6
9
12
Correct Answer: 6
Solution:
The number of arrangements of 3 books is 3! = 3 × 2 × 1 = 6.
How many ways can you arrange 3 books on a shelf?
Practice Questions
Q1
How many ways can you arrange 3 books on a shelf?
3
6
9
12
Questions & Step-by-Step Solutions
How many ways can you arrange 3 books on a shelf?
Step 1: Understand that you have 3 books to arrange.
Step 2: Realize that the first book can be any of the 3 books.
Step 3: After choosing the first book, you have 2 books left to choose from for the second position.
Step 4: After choosing the second book, only 1 book is left for the last position.
Step 5: Multiply the number of choices together: 3 (for the first) × 2 (for the second) × 1 (for the last) = 6.
Step 6: Conclude that there are 6 different ways to arrange the 3 books.
Factorial – The concept of arranging distinct items is calculated using factorial notation, where n! represents the product of all positive integers up to n.
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