Question: 2. In this chapter, we have defined 0! = 1. a. Explain why it is reasonable to have both 1! and O! equal the same

2. In this chapter, we have defined 0! = 1. a. Explain why it is reasonable to have both 1! and O! equal the same number. Justify using two different algebraic proofs (one method must involve permutations). [4 A] b. How can you use your proofs to show that (-1)! cannot exist? Provide reasoning for your answer. [2 A]

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