Let A-1-2-3-4-5 - B-2-3-6-7- Then the number of elements in A - B -B - A is

The correct option is C 4 Here A and B sets having 2 elements in common , so A × B and B × A have 2^2 i.e., 4 elements in common. Hence, n [(A × B) ∩ (B × A)] ...

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Standard VII

Mathematics

Difference of Two Sets

Let A=1,2,3,4...

Question

Let A = {1, 2, 3, 4, 5}; B = {2, 3, 6, 7}. Then the number of elements in (A $\times$ B) $\cap$ (B $\times$ A) is

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Solution

The correct option is C
4

Here A and B sets having 2 elements in common , so A $\times$ B

and B $\times$ A have $2^{2}$ i.e., 4 elements in common.

Hence, n [(A $\times$ B) $\cap$ (B $\times$ A)] = 4

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Let A = {1, 2, 3, 4, 5}; B = {2, 3, 6, 7}. Then the number of elements in (A×B) ∩ (B×A) is

The correct option is C 4 Here A and B sets having 2 elements in common , so A × B and B × A have 22 i.e., 4 elements in common. Hence, n [(A × B) ∩ (B × A)] = 4

Let A = {1, 2, 3, 4, 5}; B = {2, 3, 6, 7}. Then the number of elements in (A $\times$ B) $\cap$ (B $\times$ A) is

The correct option is C
4

Here A and B sets having 2 elements in common , so A $\times$ B

and B $\times$ A have $2^{2}$ i.e., 4 elements in common.

Hence, n [(A $\times$ B) $\cap$ (B $\times$ A)] = 4