If A = {1,2} and B = {3,4} , write all the relations from A to B.
No of relation = 2^(a*b) = 2^4 = 16
u should have 16 relations!
Just find them
i know that but am only getting 14 relations.
u included \[\phi \]
yea i did
just show ur work we will find out where u missed
okay ..
A = {1, 2} and B = {3, 4} ∴A × B = {(1, 3), (1, 4), (2, 3), (2, 4)} ⇒ n(A × B) = 4 We know that if C is a set with n(C) = m, then n[P(C)] = 2m. Therefore, the set A × B has 24 = 16 subsets. These are Φ, {(1, 3)}, {(1, 4)}, {(2, 3)}, {(2, 4)}, {(1, 3), (1, 4)}, {(1, 3), (2, 3)}, {(1, 3), (2, 4)}, {(1, 4), (2, 3)}, {(1, 4), (2, 4)}, {(2, 3), (2, 4)}, {(1, 3), (1, 4), (2, 3)}, {(1, 3), (1, 4), (2, 4)}, {(1, 3), (2, 3), (2, 4)}, {(1, 4), (2, 3), (2, 4)}, {(1, 3), (1, 4), (2, 3), (2, 4)}
okay yu finishd b4 me .. :P
Did u understand!
yea .. am checking where i went wrong
u probably should have missed something
yea
{(1, 3), (2, 3)},{(1, 3), (2, 4)} i missedd those .. tnx for the help :)
welcome....))
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