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AP EAMCET202421 May 2024Evening ShiftMathematicsProbabilityActual

If all the letters of the word 'SENSELESSNESS' are arranged in all possible ways and an arrangement among them is chosen at random then, the probability that all the E's come together in that arrangement is

Options

  1. A1 990
  2. B2 143
  3. C1 120
  4. D1 429

Correct answer

B. 2 143

Step-by-step solution

Total words can be made out of 'SENSELESSNESS' = 13! 6!4!2! =180180 Total words can be made with all the E 's together = (13-3)! 6!2! =2520 Required probability = 2520 180180 = 2 143 .

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