Multiple choice

The number of circular arrangements of 10 different things taken 3 at a time is

  1. 120

  2. 240

  3. 360

  4. 400

  5. 480
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B Correct answer
Explanation

The number of circular arrangements of n things taken r at a time is P(n, r) / r. P(10, 3) = 10 * 9 * 8 = 720. 720 / 3 = 240.

AI explanation

The formula for arranging r distinct items out of n in a circle is nPr divided by r. Plugging in 10 for n and 3 for r, we calculate 10P3 divided by 3. Since 10P3 is 10 multiplied by 9 multiplied by 8, which is 720, dividing by 3 gives 240 arrangements.

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