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Math Help - Probability question

  1. #1
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    Cool Probability question

    During a special morning recess, teachers had a choice of tea, orange juice, coffee, pies, cheese, salami, biscuits and cake. However, a teacher could sample only two kinds of food and one drink. How many different combinations of food and drink were possible?


    Please show any working out. Thanks
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  2. #2
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    there are 3 drinks and 6 foods..which means 6*3=18 combination
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    Quote Originally Posted by Joker37 View Post
    During a special morning recess, teachers had a choice of tea, orange juice, coffee, pies, cheese, salami, biscuits and cake. However, a teacher could sample only two kinds of food and one drink. How many different combinations of food and drink were possible?


    Please show any working out. Thanks
    Quote Originally Posted by franckherve1 View Post
    there are 3 drinks and 6 foods..which means 6*3=18 combination
    This is totally wrong.

    1. There are 5 foods not 6.
    2. You can select 2 of the foods, not 1 (which is what you're implying with 6*3).

    The correct answer is {5 \choose 2} \cdot 3 = 10 \cdot 3 = 30.
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