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N!is having 37 zeroes at its end.How many possible values of N are possible ??

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3 doors a,b,c in a room each door is labelled as "way to freedom","way to death","door b is false"atleast one of the door is true one is false.which door is always true? a,b,c,d are positive integers.find the no of possible solutions to the equation a+b+c+d=10