How many ways can 6 different books be arranged on a shelf? (2017)
Practice Questions
1 question
Q1
How many ways can 6 different books be arranged on a shelf? (2017)
720
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840
960
The number of arrangements of 6 different books is 6! = 720.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 6 different books be arranged on a shelf? (2017)
Solution: The number of arrangements of 6 different books is 6! = 720.
Steps: 6
Step 1: Understand that we have 6 different books to arrange.
Step 2: Realize that the order in which we arrange the books matters.
Step 3: Use the factorial notation to calculate the number of arrangements. The factorial of a number n (written as n!) is the product of all positive integers up to n.
Step 4: For 6 books, we calculate 6! which means 6 x 5 x 4 x 3 x 2 x 1.
Step 5: Perform the multiplication: 6 x 5 = 30, then 30 x 4 = 120, then 120 x 3 = 360, then 360 x 2 = 720, and finally 720 x 1 = 720.
Step 6: Conclude that there are 720 different ways to arrange the 6 books on the shelf.
