In how many different ways can the letters of the word ALLAHABAD be arranged?
2022
In how many different ways can the letters of the word ALLAHABAD be arranged?
Answer: D. None of these — The word ALLAHABAD contains 9 letters in total. The letter 'A' repeats 4 times and the letter 'L' repeats 2 times. To find the number of distinct…
- A.
3780
- B.
7890
- C.
7565
- D.
None of these
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Correct answer: D
The word ALLAHABAD contains 9 letters in total. The letter 'A' repeats 4 times and the letter 'L' repeats 2 times. To find the number of distinct arrangements, use the permutation formula for repeated items: n! / (n1! * n2!). Substituting the values gives 9! / (4! * 2!) = 362880 / (24 * 2) = 362880 / 48 = 7560.
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