Functions: injections, surjections, bijections · Discrete Math · Varsity Tutors

Discrete Math Quiz

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SETS, RELATIONS, AND FUNCTIONS

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Let

A = \{1, 2, 3, 4\}

and consider all functions

f: A \to A

such that

f(f(x)) = x

for all

x \in A

. How many of these functions are bijective?

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