Problem

a. Use a calculator if necessary to estimate the time in years it would take a computer...

a. Use a calculator if necessary to estimate the time in years it would take a computer to list all the subsets of { 1, 2, 3, ..., 64}. Assume the fastest computer can list one subset in approximately 1 microsecond (one-millionth of a second).

b. Estimate the time in years it would take the computer to exhibit all the one-to-one correspondences between the sets { 1, 2, 3, ... , 64} and {65, 66, 67, ... , 128}.

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