(c) Prove that if A and B are finite sets, then A B is finite and A B| = |B|Al. (Hint: Use induction on [A|.) (d) A professor has 20 students in his class, and he has to assign a grade of either A, B,...

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(c) Prove that if A and B are finite sets, then A B is finite and A B| = |B|Al.<br>(Hint: Use induction on [A|.)<br>(d) A professor has 20 students in his class, and he has to assign a grade of<br>either A, B, C, D, or F to each student. In how many ways can the<br>grades be assigned?<br>

Extracted text: (c) Prove that if A and B are finite sets, then A B is finite and A B| = |B|Al. (Hint: Use induction on [A|.) (d) A professor has 20 students in his class, and he has to assign a grade of either A, B, C, D, or F to each student. In how many ways can the grades be assigned?

Jun 04, 2022

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(c) Prove that if A and B are finite sets, then A B is finite and A B| = |B|Al. (Hint: Use induction on [A|.) (d) A professor has 20 students in his class, and he has to assign a grade of either A, B,...

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