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4
Derangements are permutations $\pi$ of the set $\{1,2, \ldots, n\}$ such that $\pi(i) \neq i.$ Compute the number of derangements on the set $1,2, \ldots, n$.
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5
Given a truth table of the full adder for three inputs. Draw a full adder circuit with a decoder and two $\text{OR}$ gates.$$\begin{array}{|c|c|c|c|c|}\hline \mathrm{X} &...
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