JEE Main & Advanced AIEEE Solved Paper-2006

  • question_answer
    At an election, a voter may vote for any number of candidates not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for atleast one candidate, then the number of ways in which he can vote, is     AIEEE  Solved  Paper-2006

    A) 6210          

    B)                        385                        

    C)        1110                      

    D)        5040

    Correct Answer: B

    Solution :

    Since, 4 candidates have to be selected from 10 candidates and each time atleast one candidate voted by voter. Total number of ways \[{{=}^{10}}{{C}_{1}}{{+}^{10}}{{C}_{2}}{{+}^{10}}{{C}_{3}}{{+}^{10}}{{C}_{4}}\] \[=10+45+120+210=385\]

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