To answer the question posed in the title, the answer is no.

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The easiest way to determine the answer is to merely look at the rankings and find the best-ranked player without a Slam title.

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Lord Lucas, a hereditary peer whose title is one of the few that can be inherited by woman, thinks he has the answer - An "opt-in" system.

BBC: UK Politics

The easiest way to determine the answer is to merely look at the Official World Golf Rankings and find the best-ranked player without a major title (that would be Donald, of course).

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