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Step-by-step explanation:
X={1,2,3}
Y={4,5}
X×Y={(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)}
Y×X={(4,1),(4,2),(4,3),(5,1),(5,2),(5,3)}
so X×Y≠Y×X
M={a,b,c}
N={c,d}
M×N={(a,c),(a,d),(b,c),(b,d),(c,c),(c,d)}
N×M={(c,a),(c,b),(c,c),(d,a),(d,b),(d,c)}
so M×N≠N×M
hence proved
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