New Year quiz: how many moustaches in the Rue de Poussy?

Eow menni mustashis does
Inspector Clouseau av?

A Happy New year to all readers of this blog.
      A good British tradition is to pass the time over the holiday by having little domestic quizzes. Conforming to the accepted etiquette, this blog is going to pose a couple of silly questions to readers which they might like to mull over during the long hours of productive indolence which is our reward for a year’s diligent study of English language etiquette. 
     A news story published this week on the BBC website about Naomi Campbell's having been mugged recently in Paris contained the following passage:

A police source quoted by the UK's Press Association said: “On November 21, two people [moustache] attempted to steal Ms Campbell's handbag as she sat in a vehicle on the Rue de Poussy.”

     The questions for the blog readership are about the word in brackets in that quote, namely “moustache”.

• Should that be: “Two people with a moustache attempted...”, which could be taken to mean that there were two people sharing the same moustache?
• Or should it be: “Two people with moustaches attempted...”, which could be taken to mean that they both had more than one moustache?
• Or is there a way of re-writing the sentence to avoid the problem?

     What do you think? 
     This being the season of goodwill, there will be a special prize of a Glenfiddich tasting invitation to the rebellious reader who comes up with an argument that totally destroys the basis of my questions. All clues necessary to find that argument are already in this post.

     And since it is New Year, a final, non-linguistic point: I always thought Rue de Poussy was a street in Paris—until I discovered Christ the Saviour at Kropotkinskaya.