MATH1302 ASSIGNMENT - UNIT5 (1).pdf - u2022 Let for all a...

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Let for all a.Write down the values of and b.Write down the values of and defined by the recurrence relation: c.Show that is a solution of the recurrence relation for all values of Write down all derangements of the set and show that the number of derangements is the same as predicted by the recurrence with initial values and . Hint: a derangement is a permutation of an ordered set where no element is in the same place as before. Example: is a derangement of because all of the letters positions have changed. Solve the recurrence relation subject to initial values . Hint: See example 2.4.6 on page 141 of the course text. . . .

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