JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Critical Thinking Questions

  • question_answer How many words can be made from the letters of the word BHARAT in which B and H never come together [IIT 1977]

    A) 360

    B) 300

    C) 240

    D) 120

    Correct Answer: C

    Solution :

    The total number of words\[=\frac{6\ !}{2\ !}=360\]. The number of words in which BH come together are \[\frac{5\ !}{2\ !}\times 2\ !=120\]. Hence required number of ways in which \[B\] and \[H\] never came together are \[360-120=240\].

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