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Math Help - Combinatorics

  1. #1
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    Question Combinatorics

    Can I hv help on solving this?

    a) In a mathematics class with 30 students, the teacher wants 2 different students to present the solutions to problems 3 & 5 on the board. In how many ways can the teacher assign the problems?

    b) Find the number of ways in which a team of 6 bats-men, 4 bowlers and a wicket- keeper may be selected from a squad of 8 bats-men, 6 bowlers and 2 wicket-keepers.


    Thnx
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by cu4mail View Post
    Can I hv help on solving this?

    a) In a mathematics class with 30 students, the teacher wants 2 different students to present the solutions to problems 3 & 5 on the board. In how many ways can the teacher assign the problems?
    {30 \choose 2}

    b) Find the number of ways in which a team of 6 bats-men, 4 bowlers and a wicket- keeper may be selected from a squad of 8 bats-men, 6 bowlers and 2 wicket-keepers.
    {8 \choose 6} {6 \choose 4} {2 \choose 1}

    why is that?
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  3. #3
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    Thanks

    Quote Originally Posted by Jhevon View Post
    {30 \choose 2}

    {8 \choose 6} {6 \choose 4} {2 \choose 1}

    why is that?
    Thanks for your help.
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