How many different groups of three kids can you make from seven kids?

1 Answer
Dwight
Dec 18, 2016

There are 35 ways this can be done.

Explanation:

Since the order of the kids in the group does not matter, we are asking about the number of combinations of three objects chosen from seven that can be made.

nCr = #(n!)/(r!(n-r)!)# = #(7!)/(3!4!)# = #(7xx6xx5xx4xx3xx2xx1)/((3xx2xx1)(4xx3xx2xx1))# = 35

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