If a bas Kohein were NOT permitted to marry a Yisrael, there would be no need for a halacha that states that the firstborn male child of a bas Kohein or bas Levi does not require a pidyon haben. It would be obvious that her bechor would not need a pidyon if she could only marry a Kohein or Levi. Therefore it HAS to follow that she MAY marry a Yisrael, in which case, the Torah tells us, her ben bechor nonetheless does not require pidyon because of her own status.
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