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Let S = {a,b,c,d,e,f,g} and let T = {1,2,3,4,5,6,7,8}. a.  How many different functions are there from...

Let S = {a,b,c,d,e,f,g} and let T = {1,2,3,4,5,6,7,8}.

a.  How many different functions are there from S to T?
b. How many different one-to-one functions are there from S to T?
c. How many different one-to-one functions are there from T to S?
d. How many different onto functions are there from T to S?

Math   Statistics-And-Probability   
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Answer #1

and

a) Number of different functions are there from S to T are

b) Number of different one-to-one functions are there from S to T are

c) Number of different one-to-one functions are there from T to S are

because ,

d) Number of different onto functions are there from T to S are

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