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Question: Answered & Verified by Expert
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
MathematicsPermutation CombinationJEE Main
Options:
  • A 1200
  • B 1240
  • C 1220
  • D 1260
Solution:
1477 Upvotes Verified Answer
The correct answer is: 1260
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. $\therefore$ No. of arrangements $\frac{7 !}{2 ! 2 !}=1260$

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