In how many ways can 8 persons be seated on a bench if only three seats are available?

  • A 100
  • B 125
  • C 336
  • D 427

The correct answer is C. 336

\(^3{P}_3\) = \(\frac{8!}{8-3}!\)

= \(\frac{(8 * 7 * 6 * 5)!}{5!}\) 

= 336

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