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2 cards from this section. Quick, good the night before a test.
What is a derangement?
Think about arrangements that avoid placing objects back to where they started.
Provide an example of a derangement for the set {1, 2}.
Consider the fact that there are only two objects.
What is the definition of a derangement?
Recall the meaning of arrangements.
True or False: D(1) = 1.
Consider the number of ways to arrange one object.
Given 5 distinct objects, how many derangements can be formed? Show your calculations.
Use the established recurrence and substitute known values.
Explore a new configuration where no object can be in its direct neighbor’s position (e.g. a line of people). What changes?
Think about the implications of forbidding adjacent positions.
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