Step-by-step Solution:

We need to analyze the given coding patterns for TWENTY and ELEVEN to determine how TWELVE would be coded. Let’s examine the provided sequences step-by-step:\[\] Given: 1. TWENTY = 863985 2. ELEVEN = 323039 \[\] \[\] Step 1: Analyze the relationship between letters and digits The sequence corresponds to specific mappings of letters to numbers. Let’s map the positions:\[\] The word TWENTY has these letters in order: T, W, E, N, T, Y The code is 863985.\[\] Similarly, ELEVEN corresponds to: E, L, E, V, E, N The code is 323039.\[\] \[\] Step 2: Map the sequence of letters to digits Look at each unique letter’s corresponding numbers:\[\] For TWENTY: T = 8 , W = 6 , E = 3 , N = 9 , Y = 5 \[\] For ELEVEN: E = 3 , L = 2 , V = 0 , N = 9 \[\] Using these mappings, let’s find the corresponding number sequence for TWELVE.\[\] \[\] Step 3: Create the code for TWELVE The word TWELVE has these letters: T, W, E, L, V, E \[\] From our letter-to-number map: \[\] T = 8 \[\] W = 6 \[\] E = 3 \[\] L = 2 \[\] V = 0 \[\] E = 3 (again, repeating the same mapping)\[\] So putting it together:\[\] TWELVE = 863203[\] \[\] Final Answer:\[\] The code for TWELVE is: 863203[\] \[\] Correct Option: (a)