SOLUTION: In how many ways can a teacher choose one or more students from 6 eligible students?

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Question 1117962: In how many ways can a teacher choose one or more students from 6 eligible students?
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
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The number of ways to select one or more students from 6 students is equal to the number of non-empty subsets in the set of 6 students.


It is very well known fact that the set of N elements has   subsets, including an/the empty subset and the improper subset.


In your case, N = 6 and the emty subset is excluded, so the number under the question is   = 64-1 = 63.

Solved.

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For discussion and the proof of this fact see the lesson
    - How many subsets are there in a given finite set of n elements?
in this site.


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