A fixed point of a permutation f of {1, 2, . . . , n} is an i such that f(i) = i. A permutation of {1, 2, . . . , n} with no fixed points is called a derangement. Dn denotes the number of derangements of {1, 2, . . . , n}. (a) Make a list of the derangements of {1, 2, . . . , n} for n = 2 and n = 3.

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step-by-step explanation:

step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.