Season 1

Harry and the girls are working on the Riviera when the Rajah of Angistan is romantically attracted to Rusty, and she, with visions of becoming the spiritual leader of 20,000,000 people, responds. What she does not know, when she agrees to marry him aboard his yacht, is his reputation for stranding potential brides-to-be off the African coast. Worried about Rusty and about the act if she leaves, Harry conspires with Khooli, an amiable Turkish con man who is the ""Mr. Fix-It"" of the Riviera, to prevent Rusty from leaving.

Harry is stranded in Monte Carlo when he meets Peggy, an old show business friend who has greatly improved her status in life and is now Countess Peggy Valique. But they quickly discover they still have something in common—they are both broke: Harry for the usual reasons, Peggy because her husband, the Count, has gambled away everything including their castle. Help arrives in the form of an English egghead called Percy who, needless to say, is a friend of Rusty. Chief statistician for a London insurance company, Percy has developed a system to beat the roulette wheel.

Lester Bailey, fast-talking, slow-paying film producer, is in trouble. The star of his epic, ready to begin production on the French Riviera, has just quit on a point of principle: he wanted to get paid. Harry Burns—who just happens to be in the area, and who just happens to be without work for a couple of weeks—comes to the rescue. He allows himself to be talked into the leading role, but he soon sees himself as a great movie star. The girls must restore a sense of values to the situation, and Harry must realize that perhaps his true talents lie elsewhere.

On the French Riviera, in order to keep the act together, Harry Burns breaks up a budding romance between Lois and Henri, a penniless young art student. Lois, he says, is not really interested in his pitiful little bunches of flowers. She's the sleek, slinky type who prefers champagne to carnations. Henri takes him literally and promptly steals a diamond-crusted dog collar to impress Lois. And Harry, who had only good intentions, finds himself in jail and charged with the theft.

Business is not good for the Finchley brothers, Herbert and Peter, who own the Flamingo Club in the heart of London's Piccadilly. But out of the gloom comes a brilliant idea: to fix the roulette wheel so that a few selected clients will win a fortune. The resulting publicity, they calculate, will have Londoners fighting to get into the club. Who will be the lucky winners? Harry and his girls are playing the club that week. And the girls are determined to play the tables, despite Harry's warning. Within two nights, the girls have made a fortune and are planning their retirement. Then the brothers switch into the second part of their plan....