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. Consider the following statements: 1. The 4-digit least value of x is 1332. 2. The 3-digit greatest value of x is 888 Which of the above statements is/are correct?

The three-digit numbers have been represented by ABC, wherein A, B, and C are non-zero digits. Using 3 distinct digits we can make 3 × 2 × 1 = 6 three-digit numbers. So, x will be the sum of these 6 three-digit numbers. We need to find the two values of x closest to 1000, one just below it (which will be the greatest 3-digit value of x), and the other just above it (which will be the lowest 4-digit value of x). Now, we have to do a bit of hit and try, so that the value of x reaches close to 1000. Let the three digits be the minimum possible ones, i.e. 1, 2, and 3. So, we get x = 123 + 132 + 213 + 231 + 312 + 321 = 1332 This is the least possible value of x. So, statement 1 is correct, but statement 2 is incorrect.