5 girls and 10 boys sit at random in a row having 15 chairs numbered as 1 to 15. Find the…

Mathematics · JEE Main · NTA ExamsStatistics and Probability

5 girls and 10 boys sit at random in a row having 15 chairs numbered as 1 to 15. Find the probability that end seats are occupied by the girls and between any two girls odd number of boys sit, is
  1. \(\frac{20 \times 10!\times 5!}{15!}\)
  2. \(\frac{20 \times 10!}{15!}\)
  3. \(\frac{20 \times 5!}{15!}\)
  4. none of these

Answer

(A) 20 10! 5! 15!

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