JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of combinations, Conditional combinations, Division into groups, Derangements

  • question_answer
    On the occasion of Deepawali festival each student of a class sends greeting cards to the others. If there are 20 students in the class, then the total number of greeting cards exchanged by the students is

    A) \[^{20}{{C}_{2}}\]

    B) \[2\ .{{\ }^{20}}{{C}_{2}}\]

    C) \[2\ .{{\ }^{20}}{{P}_{2}}\]

    D) None of these

    Correct Answer: B

    Solution :

    \[2\ .{{\ }^{20}}{{C}_{2}}\] {Since two students can exchange cards each other in two ways}.


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