JEE Main & Advanced Sample Paper JEE Main Sample Paper-12

  • question_answer
    Consider the word \[D=F\,\text{ }R\,\text{ }E\,\text{ }E\text{ }\,W\text{ }\,H\text{ }\,E\text{ }\,E\,\text{ }L\]. Numbers of ways in which the letters of the word D can be arranged if vowels and consonants both are in alphabetical is

    A)  \[\frac{1}{2}{{\,}^{10}}{{C}_{5}}.\]                          

    B)  \[^{10}{{C}_{5}}\]

    C)  \[^{10}{{C}_{4}}\]                          

    D)  none of these

    Correct Answer: A

    Solution :

     Vowels E E E E select 4 places in \[^{9}{{C}_{4}}\]ways arrange consonants alphabetically \[\therefore \]\[^{9}{{C}_{4}}=126=\frac{1}{2}{{\,}^{10}}{{C}_{5}}\]


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