Multiple choice

In a charity auction, 10 items are arranged in a straight line. Two particular items must be placed next to each other. In how many ways can the items be arranged?

  1. 362,880

  2. 525,616

  3. 527,760

  4. 725,760

  5. 752,920
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Treat the two items as one unit. There are 9 units to arrange in 9! ways. The two items can be arranged in 2! ways within their unit. Total = 9! * 2 = 362,880 * 2 = 725,760.

AI explanation

Treating the two particular items as one unit makes 9 total items to arrange, which can be done in 9! ways. The two items within the unit can be arranged in 2! ways. Multiplying these gives 9! * 2! = 362880 * 2 = 725760 arrangements.

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