![]() ![]() ![]() Represents the number of ways of selecting $k$ objects from a set of $n$ objects when repetition is permitted.Įxample. In this case, we are selecting the subset of $k$ boxes which will be filled with an object. Since the order in which the members of the committee are selected does not matter, the number of such committees is the number of subsets of five people that can be selected from the group of twelve people, which isĪlso counts the number of ways $k$ indistinguishable objects may be placed in $n$ distinct boxes if we are restricted to placing one object in each box. To calculate combinations, we will use the formula n C r n / r ( n - r. In how many ways can a committee of five people be selected from a group of twelve people? Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. Is the number of ways of selecting a subset of $k$ objects from a set of $n$ objects, that is, the number of ways of making an unordered selection of $k$ objects from a set of $n$ objects.Įxample.
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