Question

Let n(A) =m and n(B) = n than the total number of non-empty relations that can be defined from A to B is

but my maths sir said 2mn is correct please say any one weather 2mn is correct or 2 mm - 1 is correct


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Answer 1

Answer:

Both of these are incorrect

n(A) = m and n(B) = n

Therefore, the number of total non empty relations is given by

n(A) × n(B) = mn

Step-by-step explanation:

Example,

Let set A = {0,1,2} and set B = {3,4}

here, n(A) = 3 and n(B) = 2

according, to the formula

number of relations = n(A) × n(B) = 3 × 2 = 6

These relations are

A×B = {(0,3), (0,4), (1,3), (1,4), (2,3), (2,4)}