RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    The number of ways to make a team of 10 players out of 22 players when 4 players are always in the team and 5 players are never in the team

    A)  \[^{14}{{C}_{4}}\]

    B)  \[^{14}{{C}_{6}}\]

    C)  \[^{19}{{C}_{6}}\]

    D)  \[^{13}{{C}_{6}}\]

    Correct Answer: D

    Solution :

     Out of 22 players, 4 are always in the team that means we have to choose 6 players out of 18 players. But 5 players are always out of team. Thus, we have to choose 6 players out of remaining 13 players. Hence, required number of ways\[{{=}^{13}}{{C}_{6}}\]


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