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In how many ways can 8 persons be seated on a bench if only three...

Further Mathematics
WAEC 2021

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
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Correct Answer: Option C
Explanation

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

= \(\frac{(8 * 7 * 6 * 5)!}{5!}\) 

= 336


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