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MHT CET202120 Sep 2021Morning ShiftMathematicsPermutation and CombinationActual

All the letters of the word' ABRACADABRA' are arranged in different possible ways. Then the number of such arrangements in which the vowels are together is

Options

  1. A1200
  2. B1240
  3. C1220
  4. D1260

Correct answer

D. 1260

Step-by-step solution

The word ABRACADABRA has A: 5 times, B: 2 times, R: 2 times, C, D: 1 time each When all vowels are together, we have to arrange 7 elements. No. of arrangements 7 ! 2 ! 2 ! =1260

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