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Most Important Selected Qs for JEE AdvancedMathematicsProbability

If a different objects are distributed among n +2 persons, then

Options

  1. AProbability that exactly 2 persons will get nothing is ( n +1)! 2 .( n +2)^ n -1
  2. BProbability that exactly 3 persons will not gel anything is ^ n+2 C₃(n-1) ( ^n C₂ )(n-2)! (n+2)^n
  3. CProbability that exactly 3 persons will not get anything is n(n-1)^2 (n+1) 12(n+2)^ a-1
  4. DProbability that exactly 2 persons will get nothing is n^2(n-1)^2 (n+2)^ n-1

Correct answer

B. Probability that exactly 3 persons will not gel anything is ^ n+2 C₃(n-1) ( ^n C₂ )(n-2)! (n+2)^n

Step-by-step solution

Probability that exactly 2 persons will get nothing = ^ n 2 C₂ n! (n+2)^n = (n+2)(n+1) n! 2 (n+2)^n = (n+1)! 2(n+2)^ n-1 Probability that exactly 3 persons will get nothing = ^ n+2 C₃ ^ n-1 C₁ ^n C₂ (n-2)! (n+2)^n

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