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There are 9 teachers in a group. 3 of them will be chosen to turn out the final paper. How many possible outcomes are there for the team members.

Question

There are 9 teachers in a group. 3 of them will be chosen to turn out the final paper. How many possible outcomes are there for the team members?

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Solution

This is a combination problem. The number of ways to choose k items from a group of n items is given by the combination formula:

C(n, k) = n! / [k!(n-k)!]

where:

  • n is the total number of items
  • k is the number of items to choose
  • "!" denotes factorial, which is the product of all positive integers up to that number

We need to choose 3 teachers out of 9. So, we calculate the number of combinations:

C(9, 3) = 9! / [3!(9-3)!] = 84

So, there are 84 possible outcomes for the team members.

This problem has been solved

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