11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-8

  • question_answer
    A man has gat 6 friends. Then the number of ways in which the can invite or of his friends to dinner, is

    A)  63                               

    B)  65           

    C)  61                               

    D)  60

    Correct Answer: A

    Solution :

    [a] Total no. of ways to invite one or more of his friends \[{{=}^{6}}{{C}_{0}}{{+}^{6}}{{C}_{1}}{{+}^{6}}{{C}_{2}}{{+}^{6}}{{C}_{3}}{{+}^{6}}{{C}_{4}}{{+}^{6}}{{C}_{5}}{{+}^{6}}{{C}_{6}}\] \[=1+6+15+20+15+6+1=63\] Hence, option [a] is correct.


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