Class 11 Maths NCERT Solutions- Cartesian Product of Sets
11th Maths : Cartesian Product of Sets - Ordered Pair:As the name indicates it represents a try of components written in tiny brackets and classified along in an exceedingly explicit order, i.e., (a,b), a ∈A and b ∈ B wherever A and B square measure 2 sets.
Cartesian Product of Sets: Given 2 non-empty sets A and B, the set of all ordered pairs (a, b),where a ∈A and b ∈B is named product of A and B. In symbols,we write
A × B = {(a, b) | a ∈A and b ∈B}
Example: If A = {1, 2, 3} and B = {5,6}, then
A × B = {(1, 5), (2, 5), (3, 5), (1, 6), (2, 6), (3, 6)}
Question: If A= {1, 2}, form the set A × A × A.
Solution:We have, A × A × A= {(1,1,1), (1,1,2), (1,2,1), (1,2,2), (2,1,1), (2,1,2), (2,2,1),
(2,2,2)}.
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