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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Probability

NDA 2013 · Mathematics · Probability

In a relay race, there are six teams A, B, C, D, E and F. What is...

In a relay race, there are six teams A,B,C,D,E\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{E} and F. What is the probability that A,B,C\mathrm{A}, \mathrm{B}, \mathrm{C} finish first, second, third respectively?

Options

  1. A12\frac{1}{2}
  2. B112\frac{1}{12}
  3. C160\frac{1}{60}
  4. D1120\frac{1}{120}

Correct answer

D. 1120\frac{1}{120}

Step-by-step solution

Probability that A comes first =16=\frac{1}{6} Probability that BB comes second =15=\frac{1}{5} Probability that C comes third =14=\frac{1}{4} Required probability =16×15×14=1120=\frac{1}{6} \times \frac{1}{5} \times \frac{1}{4}=\frac{1}{120}
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