हिंदी में जवाब दो: Write the greatest and the smallest 6-digit numbers that can be formed using the digits 4, 0, 7, 2, 9 and 1 exactly once. Then find the difference between them.
Get the complete, step-by-step math solution for: "हिंदी में जवाब दो: Write the greatest and the smallest 6-digit numbers that can be formed using the digits 4, 0, 7, 2, 9 and 1 exactly once. Then find...". Powered by SolveForX AI math tutor.
Step-by-Step Solution
Step 1: Identify the given digits
The problem provides a set of six distinct digits: 4, 0, 7, 2, 9, and 1. We need to use each of these digits exactly once to form 6-digit numbers.
Step 2: Form the greatest 6-digit number
To form the greatest 6-digit number using the given digits, we arrange them in descending order from left to right. The largest digit, 9, comes first, followed by 7, then 4, 2, 1, and finally 0.
Step 3: Form the smallest 6-digit number
To form the smallest 6-digit number, we arrange the digits in ascending order. However, a 6-digit number cannot start with 0. So, we place the smallest non-zero digit (1) first, followed by 0, and then the remaining digits in ascending order: 2, 4, 7, 9.
Step 4: Calculate the difference
Now that we have both the greatest and the smallest 6-digit numbers, we subtract the smallest number from the greatest number to find their difference.