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Without going into the extreme cases presented by Lance and my fellow commenters, yes Gloria, you can do better than that:Quadruplets: two boys and two girls, one of the pairs identical and the other fraternal.  (Unfortunately you can’t have really identical boy-and-girl twins, cause that would be optimal.)
Without going into the extreme cases presented by Lance and my fellow commenters, yes Gloria, you can do better than that:Quadruplets: two boys and two girls, one of the pairs identical and the other fraternal.  (Unfortunately you can’t have really identical boy-and-girl twins, cause that would be optimal.)