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Find the number of different ways that an instructor can choose 7 students from a class of 35 students for a field trip.

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3 answers
  1. The word "choose" is usually a good indicator that your are dealing with combinations rather than permutations, that is, the order in which the students are selected does not matter, so
    35 choose 7 or C(35,7) or 35!/(7!28!) or 6,724,520

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  2. Find the number of different ways that an instructor can choose 4 students from a class of 19 students for a field trip. Hint: The order of selection of the students for the trip does not matter.

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  3. Find the number of different ways that an instructor can choose 7 students from a class of 21 students for a field trip.

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