In Exercises 4148, the sample spaces are large and you should use the counting

Chapter , Problem 8.7.42

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In Exercises 4148, the sample spaces are large and you should use the counting principles discussed in Section 8.6. A payroll department addresses five paychecks and envelopes to five different people and randomly inserts the paychecks into the envelopes. What is the probability that (a) exactly one paycheck is inserted in the correct envelope and (b) at least one paycheck is in the correct envelope?

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