Answer:
Let
a = 2, b = 5 be two elements of {1, 2, 3, 4, 5}
Now,
a * b = L.C.M. of a and b
2 * 5 =
L.C.M. of 2 and 5 = 10
But
10
is not a
binary operation on {1, 2, 3, 4, 5}.
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