Question

If P ={1,3} , Q = {2,3,5},
find the number of relation from
A to B is​

Answer 1

A and B are not defined, if you want to know about the number of relation from P to Q

P ={1,3} , Q = {2,3,5}

PxQ = [{1,2},{1,3},{1,5},{3,2},{3,3},{3,5}]

Hence,

|PxQ| = 6

Total number of relations from P to Q=

${2}^{3 \times 2} = {2}^{6} = 64$

64 is answer to your question.

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Total number of functions from P to Q =

${2}^{3} = 8$

Total number of relations which are not FUNCTIONS =64-8=56