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Question from sean, a student:

is it possible to have two sets such that
n((a X b) intersect (b X a) =3

Sean,

Suppose some element p is in both sets a and b then (p,p) is in both a x b and b x a. If p is the only element is both a and b then (p,p) is the only element in both a x b and b x a.

Suppose there are two different elements p and q in both a and b.
What can you say about (a x b)∩(b x a)?

Suppose there are more than two different elements in both a and b.
What can you say about (a x b)∩(b x a)?

Harley

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