Analyzing the Coding Pattern

The problem involves a substitution cipher where letters are mapped to digits. We are given two encoded words:

• 'BUST' corresponds to '3519'
• 'LIDS' corresponds to '6894'

We need to find the specific code for the letter 'S'.

Finding the Code for 'S'

To determine the code for 'S', we look for common elements between the given examples:

• Common Letter: The letter 'S' appears in both 'BUST' and 'LIDS'.
• Common Digit: Let's compare the digits assigned to each word:
  • Digits for 'BUST': {3, 5, 1, 9}
  • Digits for 'LIDS': {6, 8, 9, 4}
  The only digit present in both sets is '9'.
• Code Deduction: Since 'S' is the shared letter and '9' is the shared digit between the two codes, the code for 'S' is determined to be '9'.

Result

Following the logic of finding common elements, the code for the letter 'S' is 9.