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Peter has 12 relatives (five men and seven women), and his wife also has 12 relatives (five women and seven men). They do not have

Peter has 12 relatives (five men and seven women), and his wife also has 12 relatives (five women and seven men). They do not have common relatives. They decide to invite 12 guests, six each of their relatives, such that there are six men and six women among the guests. In how many ways can they choose 12 guests?

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