Question

Let $A = \{1, 2, 3\}$ and $B = \{a, b\}$ then number of relations from set $A$ to set $B$ are

• A. 64
• B. 8
• C. 4
• D. 6

Hint:

Distinct counting formulas to remember:
- Number of relations from $A$ to $B = 2^{m n}$
- Number of functions from $A$ to $B = n^m$
- Number of one-to-one (injective) functions $= P(n, m) = \frac{n!}{(n-m)!}$ (for $n \geq m$)

Answer 1

The Correct Option is A