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    1. Home
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    3. Quantitative Aptitude
    4. Permutation and combination
    5. In how many different ways can the letters of word ‘SYSTEM’ be arranged?

    Question

    In how many different ways can the letters of word

    ‘SYSTEM’ be arranged?
    A 220 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 180 Correct Answer Incorrect Answer
    D 360 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The total number of letters in the word 'SYSTEM' is 6 where 'S' appears twice. Required number of ways = 6!/2! = (6 × 5 × 4 × 3 × 2)/2 = 360

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