Yomi was asked to label four seats S, R, P, Q. What is the probability...

FURTHER MATHEMATICS
WAEC 2010

Yomi was asked to label four seats S, R, P, Q. What is the probability he labelled them in alphabetical order?

  • A. \(\frac{1}{24}\)
  • B. \(\frac{1}{6}\)
  • C. \(\frac{2}{13}\)
  • D. \(\frac{1}{4}\)

Correct Answer: A. \(\frac{1}{24}\)

Explanation

The number of arrangements for the 4 letters = \(^{4}P_{4} = \frac{4!}{(4 - 4)!}\)

\(4! = 24\)

Alphabetical order is just 1 of the arrangements for the letters

= \(\frac{1}{24}\)



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