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KVPY Sample Paper KVPY Stream-SX Model Paper-13

  • question_answer
    The number of ways in which the letters of the word 'ABBCABBC' can be arranged such that the word ABBC does not appear in any word is

    A) 420

    B) 392    

    C) 361      

    D) 360

    Correct Answer: C

    Solution :

    Total number of ways that can be formed ABBCABBC is \[\frac{8!}{4!2!2!}=420\]
    Let ABBC be a unit, then this unit and other ABBC can be arranged in \[\frac{5!}{2!}=60\]
    But this includes two times
    \[\therefore \]Actual number = 59
    \[\therefore \]Required number of ways \[=420-59=361\]


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