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If P = {a , b , c}and A xxB = {(p , q), ...

If `P = {a , b , c}`and `A xxB = {(p , q), (p , r), (m , q), (m , r)}``Q = {r}`, form the sets `P xxQ a n d Q xxP`.Are these two products equal?

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`P={a,b,c} ` and `Q={r}`
`P times Q={a,b,c} times {r}`
`P times Q={(a,r),(b,r),(c,r)}`
`Q times P={r} times {a,b,c}`
`Q times P ={(r,a),(r,b),(r,c)}`
Since `(a,r) ne (r,a) `
`P times Q ne Q times P`
Since the corresponding first and second elements are not equal, hence the two ordered pairs are not equal.
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