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Math Help - Need help figuring out combinations

  1. #1
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    Need help figuring out combinations

    At subway there are 10 choices for meats and vegetables on your sandwich. If you can choose between a small, medium, or large sandwich and want to mix 4 of the toppings, how many different sandwiches can you order?
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  2. #2
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    Quote Originally Posted by krzyrice View Post
    At subway there are 10 choices for meats and vegetables on your sandwich.
    Does this mean, there are 10 choices for meats + 10 choices for vegetables?

    Quote Originally Posted by krzyrice View Post
    and want to mix 4 of the toppings, how many different sandwiches can you order?
    Is it possible to take the same meat twice?

    If not, the solution for this problem is \begin{pmatrix}20 \\ 4 \end{pmatrix} or
    \begin{pmatrix}10 \\ 4 \end{pmatrix}, depends on "are there 10 meats and 10 vegetables each?"


    Quote Originally Posted by krzyrice View Post
    If you can choose between a small, medium, or large sandwich
    Then you have to multiply by 3

    3*\begin{pmatrix}20 \\ 4 \end{pmatrix}
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