Multiple choice

There are four persons and six seats in a row. In how many ways can they take their seats?

  1. 6C4

  2. 360

  3. 720

  4. 4 x 6C4

  5. 4 x 6P4
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B Correct answer
Explanation

The number of ways to arrange 4 distinct persons in 6 distinct seats is 6P4 = 6 * 5 * 4 * 3 = 360.

AI explanation

We use the permutation method to arrange 4 persons out of 6 seats. The calculation is 6P4, which equals 6 divided by 2 factorial multiplied by the factorial of 6 minus 4, giving 6 times 5 times 4 times 3 = 360.

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