x={f:A→B,f is one - one } y={g:A→A×B,g is one one } Number of elements in A=3 i.e. |A|=3 Similarly, |B|=5 Then, |A×B|=|A|×|B|=3×5=15 Now, number of one-one function from A to B will be ‌5P3=‌
5!
(5−3)!
=‌
5!
2!
=5×4×3=60 ∴‌‌x=60 Now, number of one-one function from A to A×B will be ‌‌=‌15P3=‌