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There are 1997 doors in a auditorium and as many as people as the no of doors open enter the auditorium .A door was closed and as many as people as no of doors open leave the auditorium . the process was repeated till the no of doors is equal to1.find the total no of peoples enter the auditorium?
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- in first case,
door open=enter=1997, door close=exit=1996, remain=1
2nd case,
door open=enter=1996, door close=exit=1995, remain=2
so people remain= no of case
1995 case,
door open=enter=2,door close=exit=1, remain=1995
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