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

  • question_answer The number of ways in which the letters of the word TRIANGLE can be arranged such that two vowels do not occur together is

    A) 1200

    B) 2400

    C) 14400

    D) None of these

    Correct Answer: C

    Solution :

    \[\bullet T\bullet R\bullet N\bullet G\bullet L\] Three vowels can be arrange at 6 places in \[^{6}{{P}_{3}}=120\] ways. Hence the required number of arrangements\[=120\times 5\ !=14400\].

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