Note that 2 different input can have same output as well , eg for F ( x ) = x 2 , both -5 & 5 gives output as 5 .
But one input can ’ t have multiple outputs . E . g .: Input 3 will always give 9 in this case as output ; it can ’ t give any other output .
Cartesian product of Set Cartesian product of sets is the product of two sets .
Given two non-empty sets P and Q . The cartesian product P × Q is the set of all ordered pairs whose first component is a member of P & second component is a member of Q . i . e ., P × Q = { ( p , q ) : p ∈ P , q ∈ Q }
If either P or Q is null set , then P × Q will also be empty set , i . e ., P × Q = φ Let ’ s assume 2 sets o Man ={ Ram , Shyam } o Woman { Sita , Gita , Rita }.
Now Man wants to marry Woman . The Cartesian product of set Man X Woman is
= { Ajay , Bijay } X { Carol , Dancy , Ellyn }
= {( Ajay , Carol ), ( Ajay , Dancy ), ( Ajay , Ellyn ), ( Bijay , Carol ), ( Bijay , Dancy ), ( Bijay , Ellyn )}