Step 1: Understanding the Question:
This is a direct letter-coding problem where each letter in a given word is assigned a specific single-digit number. We need to identify the digits assigned to the letters of "LUNA" to find its code.
Step 2: Detailed Explanation:
Let's map each letter of the word "PUNCTUAL" to its corresponding digit in the code "47819765":
P \( \rightarrow \) 4
U \( \rightarrow \) 7
N \( \rightarrow \) 8
C \( \rightarrow \) 1
T \( \rightarrow \) 9
U \( \rightarrow \) 7 (Notice that 'U' is consistently coded as 7, confirming a direct mapping)
A \( \rightarrow \) 6
L \( \rightarrow \) 5
Now, we extract the codes for the letters in the word "LUNA":
L \( \rightarrow \) 5
U \( \rightarrow \) 7
N \( \rightarrow \) 8
A \( \rightarrow \) 6
Combining these digits in order, we get the code for LUNA as 5786.
Step 3: Final Answer:
The code for LUNA is 5786.