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How many ways can 5 different books be selected and arranged on a shelf?
How many ways can 5 different books be selected and arranged on a shelf?
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Practice Questions
1 question
Q1
How many ways can 5 different books be selected and arranged on a shelf?
120
60
30
24
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The number of ways to select and arrange 5 books is 5! = 120.
Questions & Step-by-step Solutions
1 item
Q
Q: How many ways can 5 different books be selected and arranged on a shelf?
Solution:
The number of ways to select and arrange 5 books is 5! = 120.
Steps: 8
Show Steps
Step 1: Understand that we have 5 different books.
Step 2: Realize that we want to arrange all 5 books on a shelf.
Step 3: Know that arranging items is a permutation problem.
Step 4: The formula for arranging 'n' different items is 'n!'.
Step 5: Since we have 5 books, we use the formula 5!.
Step 6: Calculate 5! which means 5 x 4 x 3 x 2 x 1.
Step 7: Perform the multiplication: 5 x 4 = 20, then 20 x 3 = 60, then 60 x 2 = 120, and finally 120 x 1 = 120.
Step 8: Conclude that there are 120 different ways to select and arrange the 5 books.
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