Concept explainers
Counting when Order Does Not Matter This is a continuation of Exercise 15. In many situations, the number of possibilities is not affected by order. For example, if a group of 4 people is selected from a group of 20 to go on a trip, then the order of selection does not matter. In general, the number C of ways to select a group of K things from a group of n things is given by
if k is not greater than n.
- How many different groups of 4 people could be selected from a group of 20 to go on a trip?
- How many groups of 16 could be selected from a group of 20?
- Your answers in parts a and b should have been the same. Explain why this is true.
- What group size chosen from among 20 people will result in the largest number of possibilities? How many possibilities are there for this group size?
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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