Compute a lower bound on the number of comparisons
Use decision trees to compute a lower bound on the number of comparisons required to sort six items in the worst case. Give an algorithm that uses this number of comparisons to sort six items in the worst case.
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Assume P(n) is true for infinite number of positive integers n. Also, assume that P(k+1) -> P(k) for all positive integers k. Now, prove that P(n) is true for all positive integers. Hint: this is the reverse induction principle.
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A telephone number includes a sequence of seven digits not starting with 0 or 1. How many of them begin with either 463, 460, or 400
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