If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A × B)?
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Answer:
Set A has 3 elements.
Set B = {3, 4, 5} i.e. 3 elements.
Number of elements in (A × B) = n(A × B)
⇒ n(A) × n(B)
⇒ 3 × 3
⇒ 9 elements
More Information -
- Sets are the well defined collection of elements or objects.
- The two forms of representation of sets - Roaster form and Set builder form.
- Singleton set includes just one element.
- Equal sets are two sets A and B where every element of set A is also an element of set B.
- Equivalent sets are two sets A and B where the number of sets of A is equal to the number of sets of B.
- A set which contains finite elements is a finite set.
- A set which contains infinite elements is an infinite set.
- Element which contains no element is an empty set.
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