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Question

Let A={a,b,c,d,e} and B={1,2,3,4,5}. The number of relations which are not functions from A to B is

A
22555
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B
22055
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C
5525
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D
2255×3
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Solution

The correct option is A 22555
n(A)=5, n(B)=5
n(A×B)=5×5=25
Total number of relations from A to B is,
2n(A×B)=225
Now, total number of functions from A to B is 55
Hence, the number of relations which are not functions
=22555

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