Suppose f : A = B is function, where A and B are finite sets of the same cardinality. Prove that f …

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MATH0007 video 9: functions on finite setsMATH0007 video 9: functions on finite sets
Suppose |A| = |B| are finite and f : A → B. Prove f is one-to-one iff f is onto (ILIEKMATHPHYSICS)Suppose |A| = |B| are finite and f : A → B. Prove f is one-to-one iff f is onto (ILIEKMATHPHYSICS)
If f : A → B is injective and B is finite, then A is also finite and |A| ≤ |B| (Proof)If f : A → B is injective and B is finite, then A is also finite and |A| ≤ |B| (Proof)
Section 5.1(c), part 7 Cardinality of Cartesian product of finite setsSection 5.1(c), part 7 Cardinality of Cartesian product of finite sets
Section 5.1(c), part 3 Cardinality of finite disjoint unions of finite setsSection 5.1(c), part 3 Cardinality of finite disjoint unions of finite sets
Section 5.1(c), part 5 Cardinality of the difference of finite setsSection 5.1(c), part 5 Cardinality of the difference of finite sets
Section 5.1(c), part 4 Cardinality of subsets of finite setsSection 5.1(c), part 4 Cardinality of subsets of finite sets
Section 5.1(c), part 2 Cardinality of a finite setSection 5.1(c), part 2 Cardinality of a finite set