Let A, B and C represent distinct non zero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.

Correct Option (A)

The sum of all possible 3-digit numbers formed by distinct non-zero digits A, B, and C without repetition is denoted by x.

To determine the least value of x, the smallest distinct non-zero digits must be chosen for A, B, and C. These are 1, 2, and 3.

The 3-digit numbers that can be formed using 1, 2, and 3 without repetition are:

• 123
• 132
• 213
• 231
• 312
• 321

The sum x is calculated as: 123 + 132 + 213 + 231 + 312 + 321 = 1332.

Since 1332 is a 4-digit number, the least value of x is 1332. Therefore, Statement 1 is correct.

Incorrect Options:

Statement 2 claims that the 3-digit greatest value of x is 888.

As established in the explanation for Statement 1, the least possible value of x, formed using the smallest distinct non-zero digits (1, 2, 3), is 1332. Since 1332 is a 4-digit number, any other sum x formed by larger distinct non-zero digits will also be a 4-digit number or greater.

Consequently, x cannot be a 3-digit number. Therefore, Statement 2 is incorrect.