Question

The number of ways to arrange 5 distinct books on a shelf is: 
 

• A. 60
• B. 120
• C. 240
• D. 720

Hint:

For arranging distinct items, use $n!$ directly unless restrictions are specified.

Answer 1

The Correct Option is B

- Step 1: Number of ways to arrange $n$ distinct items = $n!$.
- Step 2: For 5 books, $5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$.
- Step 3: Verify: Each book has a unique position, and permutations account for all arrangements.
- Step 4: Check options: Option (b) is 120, which matches.
- Step 5: Ensure no restrictions (e.g., specific orders) are implied.
- Step 6: Option (b) is correct.