How many ways exists to arrange the couples (B,F,H,M) at a round table such that: (1) the four women and the four men sit next to each other. (1) Men and women alternate sitting next to each other. (3) Ms. B is seated next to Ms. H. (4) Mr. H is seated across from Mr. M. (5) The four couples each sit next to each other. (6) on one hand the couple F and on other hand the couple M sitting next to each other.

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