Home › JEE Main › Mathematics › Relations and Functions › If $n(A)=2$ and $n(B)=3$, the number of relation…
If $n(A)=2$ and $n(B)=3$, the number of relations from $A$ to $B$ is:
A9
B6
C64
D8
Answer & Solution
Correct answer: C. 64
A relation from A to B is any subset of A×B; number = 2^{n(A)·n(B)} = 2⁶ = 64.
Related questions
Domain, co-domain and range were first introduced in:If a function f is invertible, then f must be:Applying f first and then g gives the composition written:Mapping students to roll numbers is one-one because:For f(x) = 2x from R to R, the function is:For f(x) = 2x from N to N, the function is:A function is invertible exactly when it is:A function that is both one-one and onto is called: