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MHT CET2012MathematicsPermutation and Combination

All letters of the word 'CEASE' are arranged randomly in a row, then the probability that two E are found together is

Options

  1. A7 5
  2. B3 5
  3. C2 5
  4. D1 5

Correct answer

D. 1 5

Step-by-step solution

Sample space arrangement for the word 'CEASE' =5 ! Here, E 2, C 1, ~A 1, ~S 1 Now, consider 2 E as one character, so that arranging for four letters =4 ! ways Required probability = 4 ! 5 ! = 1 5

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