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KVPY Sample Paper KVPY Stream-SX Model Paper-23

  • question_answer
    The number of ways of arranging the letters AAAAA, BBB, CCC. D, EE and F in a row of the letters C are separated from one another is

    A) \[{}^{13}{{C}_{3}}\frac{12!}{5!3!2!}\]

    B) \[\frac{13!}{5!313!2!}\]

    C) \[\frac{14!}{3!3!2!}\]

    D) None of these

    Correct Answer: A

    Solution :

    All AAAAABBBDEEF can be arranged in\[\frac{12!}{5!3!2!}\] ways. Between the gaps C can be arranged \[{}^{13}{{C}_{3}}\] ways Total ways \[={}^{13}{{C}_{3}}\times \frac{12!}{5!3!2!}\]


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