If a + b + c + d = 4, then find the value of 1 ( 1 - a ) ( 1 - b ) (…

Question

If a + b + c + d = 4, then find the value of 1 ( 1 - a ) ( 1 - b ) ( 1 - c ) + 1 ( 1 - b ) ( 1 - c ) ( 1 - d ) + 1 ( 1 - c ) ( 1 - d ) ( 1 - a ) + 1 ( 1 - d ) ( 1 - a ) ( 1 - b ) is?

Accepted Answer

Option A. 0. Answer & Solution Answer: Option A Solution: & 1 ( 1 - a ) ( 1 - b ) ( 1 - c ) + 1 ( 1 - b ) ( 1 - c ) ( 1 - d ) + 1 ( 1 - c ) ( 1 - d ) ( 1 - a ) + 1 ( 1 - d ) ( 1 - a ) ( 1 - b ) & Put & a = 0 & b = 0 & c = 2 & d = 2 & a + b + c + d = 4 & 0 + 0 + 2 + 2 = 4 & 4 = 4 ( satisfy )…