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

Question

If a + b + c + d = 4, then 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 ) & = 1 - d + 1 - a + 1 - b + 1 - c ( 1 - a ) ( 1 - b ) ( 1 - c ) ( 1 - d ) & = 4 - ( a + b + c + d…