because -5040 is not possible.

the least we can get for the product here is (-5)*10*9*8 = -3600

if we choose one negative , three positive, least possible combination

if we choose two negative and two positive , product becomes positive. hence wont be least possible.

if we choose three negative and one positive -4*-3*-2*10 , possible combination , but wont give least possible.

if we choose four negative , the product becomes positive . hence wont be least possible

trick is choose a largest possible negative integer .

Hence the answer is B.

Acer86 wrote:

Can someone please explain as to why we did not choose -5040?