-
If a + b + c + d = 4 then the value of
1 + 1 + 1 + 1 is (1 − a)(1 − b)(1 − c) (1 − b)(1 − c)(1 − d) (1 − c)(1 − d)(1 − a) (1 − d)(1 − a)(1 − b)
-
- 0
- 1
- 4
- 1+ abcd
Correct Option: A
a + b + c + d = 4
⇒ 4 – a – b – c – d = 0 ...(i)
Expression
| = | + | + | + | ||||
| (1 − a)(1 − b)(1 − c) | (1 − b)(1 − c)(1 − d) | (1 − c)(1 − d)(1 − a) | (1 − d)(1 − a)(1 − b) |
| = | |
| (1 − a)(1 − b)(1 − c)(1 − d) |
| = | = 0 | |
| (1 − a)(1 − b)(1 − c)(1 − d) |
