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Math Help - Permutation/Combination team selection

  1. #1
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    Permutation/Combination team selection

    A hockey team panel is made up of the following players
    Goalkeeper (gk) = 3
    Defender (def) = 6
    Midfield (mid) = 6
    Forward (fwd) = 5
    The coach is considering selecting two possible formations as follows
    Formation A = 1 gk, 4 def, 3 mid, 3 fwd
    Formation B = 1 gk, 3 def, 5 mid, 2 fwd
    How many different teams can be selected if Formation A is used?
    How many different teams can be selected if Formation B is used?
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  2. #2
    MHF Contributor kalagota's Avatar
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    Taguig City, Philippines
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    Quote Originally Posted by izaiyoi View Post
    A hockey team panel is made up of the following players
    Goalkeeper (gk) = 3
    Defender (def) = 6
    Midfield (mid) = 6
    Forward (fwd) = 5
    The coach is considering selecting two possible formations as follows
    Formation A = 1 gk, 4 def, 3 mid, 3 fwd
    Formation B = 1 gk, 3 def, 5 mid, 2 fwd
    How many different teams can be selected if Formation A is used?
    How many different teams can be selected if Formation B is used?
    for A..

    \left( {\begin{array} {c} 3 \\ 1 \\ \end{array} }\right) \left( {\begin{array} {c} 6 \\ 4 \\ \end{array} }\right)\left( {\begin{array} {c} 6 \\ 3 \\ \end{array} }\right)\left( {\begin{array} {c} 5 \\ 3 \\ \end{array} }\right)

    do the same for B..
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