In how many ways can 5 books be arranged on a shelf if two specific books must always be together?
Options
A
24
B
48
C
120
D
240
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves arranging items with a restriction (two books must stay together).
Key Concept Explanation
When two items must stay together, treat them as a single unit.
Then, calculate permutations for the total units and multiply by the permutations within the grouped items.
Step-by-Step Solution
1. Treat the two books as one combined book. Now, we have: 1 (combined book) + 3 (other books) = 4 units.
2. The number of ways to arrange these 4 units is 4! = 4 x 3 x 2 x 1 = 24.
3. The two grouped books can switch places (2! = 2).
4. Total permutations:
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