if the set has 5 elements and the set B={1,2,3,4}then the number of elements in A×B is
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Step-by-step explanation:
If the set has 5 elements and the set B={1,2,3,4}then the number of elements in A×B = 5×{1,2,3,4}
= 5,10,15,20
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The number of elements in A×B will be equal to 20.
- In cartesian product between sets A and B, every element of A makes an ordered pair with every element of B.
- So the number of elements of A×B should be the product of the number of elements in both sets.
- Here, the number of elements in A is 5 and the number of elements in B is 4.
- Hence, the number of elements in A×B is equal to 5×4=20.
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