There are 120 different combinations when selecting Christmas presents.
There are 10 available presents in all under a Christmas tree, and
The number of presents chosen to be placed beneath a Christmas tree is 3.
We must determine how many possible combinations there are.
There are a total of three methods by which the 10 gifts can be chosen [tex]10C_{3}[/tex].
that is
[tex]nC_{r}=\frac{n!}{r!(n-r)!}[/tex]
[tex]10C_{r} =\frac{10!}{3!(10-3)!}[/tex]
=120
In order to choose three gifts from a total of ten, there are 120 possible different combinations.
The term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.
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