Mathematics · Set Theory and Functions
Let &mathbb{N}; = {1, 2, 3, ...} be the set of natural numbers. Which of the following functions from &mathbb{N}; × &mathbb{N}; to &mathbb{N}; is injective?
- 1f 4 (m, n) = m 2 n 3
- 2f 3 (m, n) = m 2 + n 3
- 3f 2 (m, n) = mn + m + n
- 4f 1 (m, n) = 2 m 3 n✓
Correct answer
f 1 (m, n) = 2 m 3 n
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