MCQ
If set A has 2 elements and set B has 3 elements then how many subsets does A × B have?
- 6
- 8
- 32
- 64
- A6
- B8
- C32
- ✓64
✓
Answer
Correct option: D.
64
- 64
If set $A$ has $m$ elements and set $B$ has $n$ elements then $A \times B$ has $m \times n$ elements. We know, a set has $2^r$ subsets if it has r number of elements.
Here, $A \times B$ has $2 \times 3=6$ elements. So, number of subsets of $A \times B$ will be $2^6$ i.e. 64 .
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