Multiple choice

There are 4 magazines, 5 novels and 3 plays. In how many ways can you arrange them, such that all the magazines are placed together, all the novels are placed together and all the plays are placed together in the order - magazines, novels and plays.

  1. 17,480

  2. 17,485

  3. 17,280

  4. 17,082

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The groups (magazines, novels, plays) can be arranged in 1 way (since the order is fixed). Within each group, items can be arranged: 4! for magazines, 5! for novels, 3! for plays. Total ways = 4! * 5! * 3! = 24 * 120 * 6 = 17,280.

AI explanation

Since the order of the groups is fixed, we simply arrange the items within each category. The 4 magazines can be arranged in 4! ways, the 5 novels in 5! ways, and the 3 plays in 3! ways. The total number of arrangements is 4! x 5! x 3! = 24 x 120 x 6 = 17280.

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