If DHOOM is coded as 25 and RACE is coded as 14, then FASHION is coded as -

Concept

Each letter of a word is converted to its position in the alphabet (A = 1, B = 2, ..., Z = 26). These positions are summed to get a total, and the digits of that total are multiplied together to give the word's numeric code.

Application

1. DHOOM: D = 4, H = 8, O = 15, O = 15, M = 13. Sum = 4 + 8 + 15 + 15 + 13 = 55. Multiplying the digits of 55 gives 5 × 5 = 25, matching the given code.

2. RACE: R = 18, A = 1, C = 3, E = 5. Sum = 18 + 1 + 3 + 5 = 27. Multiplying the digits of 27 gives 2 × 7 = 14, matching the given code.

3. FASHION: F = 6, A = 1, S = 19, H = 8, I = 9, O = 15, N = 14. Sum = 6 + 1 + 19 + 8 + 9 + 15 + 14 = 72. Multiplying the digits of 72 gives 7 × 2 = 14.

Cross-check

Re-grouping the seven letter positions differently — (6 + 1 + 19) + (8 + 9) + (15 + 14) = 26 + 17 + 29 = 72 — gives the same total, and since digit multiplication is commutative (7 × 2 = 2 × 7), the code 14 is confirmed.