The value of (a - m) (b - m) ... (y - m) (z - m) is
Reviewed by Dalvoy
UPSC Civil Services preparation
- A26 + am25 + abm24 +... + a.b.c. ...z
- Bm26 - am25 + abm24 +... - a.b.c. ...z
- C0Correct
- DIndeterminate
Explanation
The expression is a product of terms where each term subtracts the letter m from a different letter of the alphabet, starting from a to z.
The series of terms is as follows:
(a minus m), (b minus m), (c minus m), and so on.
Because the sequence includes every letter from a to z, one of the terms in the middle of this product will inevitably be (m minus m).
The value of (m minus m) is 0.
Since any number or expression multiplied by zero equals zero, the entire product of the series becomes zero. Therefore, the correct answer is C.

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