In how many different ways can the letter of the word ‘armour’ be arranged?


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  1. In how many ways, the letters of the word 'ARMOUR' can be arranged ?

    1. 720
    2. 300
    3. 640
    4. 350
    5. None of the above

Number of arrangements n ! /( p ! q ! r ! )Total letters = 6, but R has come twice.So, required number of arrangements

= 6 ! / 2 ! = (6 x 5 x 4 x 3 x 2 !) / 2 ! = 360


Correct Answer:

Description for Correct answer:

Number of arrangements = \( \large\frac{n!}{p! q! r!} \)Total letters = 6, but R has come twiceSo, required number of arrangements

= \( \large\frac{6!}{2!} = \frac{6 \times 5 \times 4 \times 3 \times 2!}{2!} = 360\)


Part of solved Permutation and combination questions and answers : >> Aptitude >> Permutation and combination

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How many ways the letters of the word “ARMOUR” can be arranged ?

  • Total number of letters = 6 and R is repeated twice.
  • Required arrangements = (6! / 2!) = 360

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