In a city no two persons have identical sets of teeth and no person has no teeth. If any person can have maximum 32 teeth. Find The max possible population of the city disredarding the shape and size of teeth and considering only the positions of the teeth.

Dear Sanchit

Number of person having 1 tooth is =³²c₁

Number of person having 2 tooth is =³²c₂

Number of person having 3 tooth is =³²c₃

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Number of person having 32 tooth is =³²c₃₂

total number of person =³²c_{1  +}  ³²c_{2  +..........+}³²c₃₂

                                 =2³² -1