If I have kept six different books on a shell, in how many different ways can…

2025

If I have kept six different books on a shell, in how many different ways can I arrange them.

  1. A.

    600

  2. B.

    200

  3. C.

    210

  4. D.

    720

Attempted by 81 students.

Show answer & explanation

Correct answer: D

Answer: 720

Explanation:

The number of ways to arrange n distinct items is n! (n factorial).

  • For 6 different books, compute 6! = 6 × 5 × 4 × 3 × 2 × 1.

  • Compute stepwise: 6 × 5 = 30; 30 × 4 = 120; 120 × 3 = 360; 360 × 2 = 720; 720 × 1 = 720.

  • Therefore, the total number of arrangements is 720.

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