Mathematics · Set Theory & Combinatorics
Consider the following statements regarding functions between finite sets and the Pigeonhole Principle: Statement 1: The Pigeonhole Principle proves that if a finite domain is strictly larger than a codomain, the function cannot be injective. Statement 2: For functions mapping between finite sets, surjectivity requires that the size of the domain must be strictly less than the size of the codomain.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Statement 1 is true, but Statement 2 is false.✓
- 2Both statements are true.
- 3Both statements are false.
- 4Statement 1 is false, but Statement 2 is true.
Correct answer
Statement 1 is true, but Statement 2 is false.
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