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Default Multiple IF statement not working

I have numbers in cells b2, d2,e2, and f2. I am trying to write
statment that will increment number in cell b2 by one for each cell
(d2, e2, f2) that is greater than or equal to one. The following
formula will not work if more than one cell (d2, e2, f2) has a zero in
it:

=IF(AND(D2=1,E2=1,F2=1),B2+3,IF(OR(D2=0,E2=0,F2 =0),B2+2,IF(AND
(D2=0,E2=0),B2+1,IF(AND(D2=0,F2=0),B2+1,IF(AND(E2= 0,F2=0),B2+1,)))))

Does anyone know why?

 
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