-
If a + b + c + d = 4, then find the value of
1 + 1 + 1 + 1 . (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
- 5
- 1
- 4
Correct Option: A
a + b + c + d = 4 (Given)
| 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) |
| = | |
| (1 − a)(1 − b)(1 − c)(1 − d) |
| = | = 0 | |
| (1 − a)(1 − b)(1 − c)(1 − d) |
