a,b,c,d and e are all integers where abc) and e=6 which of the following could equal zero?

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a,b,c,d and e are all integers where abc) and e=6 which of the following could equal zero?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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A)a only B)b only C)b or c only D)a,b and c only E)a,b,c,or d only
i would hazard a guess at B)
b or c only -1<1<0<2<6 -1<0<1<2<6

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\[Guess = \checkmark\]
wait ... i made a mistake...
problemsolver is right...only b
sequence can be like -2,0,2,3,6
nope ...... 6=2*3
-1<0<1<2<6
oops ... will be -3 , 0 , 1,2 ,6
How so?
well... we must prove other options are not right for example suppose a=0 then b=1 c=2 d=3 ------> contradiction because 0<1<2<3<6 ,,, 6=2*3
Ah, i see..
if c=0 then a must be negative and b must be positive this is contradiction again since 0>b
for d u can prove like prev proof for c=0

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