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13 Sep 2005, 23:50
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An operation performed on two positive integers, a and b, is called left if and only if a@b=b@a for all integers a and b where @ is any operation and the result of the operation plus 3 is always even. Is the operation * left?
(1) a * ; b=a! + b!
(2) In a * ; b, a>b
(1) a * ; b=a! + b!
(2) In a * ; b, a>b
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14 Sep 2005, 11:29
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i think the answer is D
(1) as the result of the operation plus 3 is always even, the result of the operation must be odd. as a!+b! can never be odd the operation a * ; b=a! + b! cannot be left.
(2) for a@b=b@a a and b must be equal. so again a * ; b=a! + b! cannot be left.
correct me please
(1) as the result of the operation plus 3 is always even, the result of the operation must be odd. as a!+b! can never be odd the operation a * ; b=a! + b! cannot be left.
(2) for a@b=b@a a and b must be equal. so again a * ; b=a! + b! cannot be left.
correct me please
