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Determine whether each of these functions from {a, b, c, d} to itself is one-to-one. a.f(a)=b,f(b)=a,f(c)=c,f(d)=d b.f(a)=b,f(b)=b,f(c)=d,f(d)=c c.f(a)=d,f(b)=b,f(c)=c,f(d)=d
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Determine whether each of these functions from {a, b, c, d} to itself is one-to-one.

a.f(a)=b,f(b)=a,f(c)=c,f(d)=d
b.f(a)=b,f(b)=b,f(c)=d,f(d)=c
c.f(a)=d,f(b)=b,f(c)=c,f(d)=d

User Qboomerang
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Only (a) describes a one-to-one function. (b) fails because
f(a)=f(b)=b; similarly, (c) fails because
f(a)=f(d)=d.
User Harman
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