CLAT Sample Paper CLAT Sample Paper-4

  • question_answer
    If letters of the word 'PENCIL' are arranged in random order, what is the probability that N is always next to E?

    A)  \[\frac{1}{6}\]      

    B)  \[\frac{5}{6}\]      

    C)  \[\frac{1}{3}\]        

    D)  \[\frac{2}{3}\]

    Correct Answer: A

    Solution :

    Number of ways in which 6 letters of the word 'PENCIL' can be arranged is P(6,6)=6! If N is next to E, they can be considered as one and the 5 letters can be arranged in P(5, 5) = 5 ! ways \[\therefore \] Required probability \[=\frac{5!}{6!}=\frac{1}{6}\]


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