The Duke of York with his daughters Princess Eugenie (left) and Princess Beatrice (right) during their ski-ing holiday in the Swiss Alps.  The Duke was celebrating his 41st birthday on holiday with his ex-wife and children.   * The birthday is a double celebration for the family, who toasted Princess Eugenie's success at passing a school entrance exam. Ten-year-old Eugenie's exam success means she will now enrol at a private school near Windsor Castle.