The question asks to find the code for the word 'FLY' based on the given coded words.

Step 1: Analyze Given Codes

• LIT is coded as 123
• LEFT is coded as 4512
• YELL is coded as 2247

Step 2: Identify Letter-to-Digit Mappings

We need to find a consistent mapping between letters and digits. Let's compare 'LEFT' and 'YELL' as they share common letters and digits.

• Letters in LEFT: {L, E, F, T}. Digits in code 4512: {4, 5, 1, 2}.
• Letters in YELL: {Y, E, L, L}. Digits in code 2247: {2, 2, 4, 7}.
• Common letters between LEFT and YELL are L and E.
• Common digits between their codes 4512 and 2247 are 4 and 2.
• This suggests that L and E are coded as 4 and 2 (in some order).

Step 3: Deduce Codes using YELL

Consider YELL coded as 2247. The letter L is repeated, and the digit 2 is repeated in the code. This strongly implies that L = 2.

• If L = 2, and {L, E} map to {4, 2}, then E must be 4.
• Now, let's look at YELL (Y E L L) = 2247. With L=2 and E=4, the letters correspond to {Y, 4, 2, 2}. The code digits are {2, 2, 4, 7}. This implies Y = 7.
• Current mappings: L=2, E=4, Y=7.

Step 4: Deduce Codes using LEFT and LIT

Consider LEFT coded as 4512.

• The letters are {L, E, F, T}. The code digits are {4, 5, 1, 2}.
• We know L=2 and E=4. The remaining letters {F, T} must correspond to the remaining digits {5, 1}.
• Let's tentatively assign F = 5 and T = 1.

Consider LIT coded as 123.

• The letters are {L, I, T}. The code digits are {1, 2, 3}.
• We know L=2. This means {I, T} must correspond to {1, 3}.
• Since we deduced T=1 from LEFT, this confirms I = 3.

Consistent Mappings Found:

• F = 5
• L = 2
• Y = 7
• (T = 1, E = 4, I = 3)

Step 5: Determine the Code for FLY

Using the derived mappings for the letters in 'FLY':

• F = 5
• L = 2
• Y = 7

Therefore, the code for 'FLY' is formed by combining these digits: 527.