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A survey is conducted among $106$ people. Among them $47$ people have dogs, $58$ people have cats and $38$ people have parrots. $16$ people have both a dog and cat, $15$ people have both cat and parrot and $17$ people have both a parrot and dog. Each of them has at least one of the pets.

 

How many people have only dog?

  1. $37$ 
  2. $15$
  3. $23$ 
  4. $20$

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