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If ** defined on the set {1, 2, 3, 4, 5...

If `**` defined on the set `{1, 2, 3, 4, 5}` by `a**b = LCM`of `a` and `b` a binary operation? Justify your answer.

Text Solution

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Given set A = { 1,2,3,4,5}
Now `2,3 in A`
and 2*3 = L.C.M of 2 and 3 = `6 notinA`
`therefore` In the give set, the operation *is not binary.
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