Write the greatest and smallest number of 7-8-and 9-digits such that.

a.2 remains at thousands and lakhs place

Your number must look like

2xx2

smallest: 2782
largest 2982 , assuming the numbers 7,8, and 9 can only be used once

if they may be repeated:
smallest 2772
largest 2992

a. To find the greatest and smallest number of 7, 8, and 9 digits such that 2 remains at the thousands and lakhs place, we can use the following patterns:

For 7-digit numbers:
Greatest number: 2,999,999
Smallest number: 2,000,000

For 8-digit numbers:
Greatest number: 29,999,999
Smallest number: 20,000,000

For 9-digit numbers:
Greatest number: 299,999,999
Smallest number: 200,000,000

To find the greatest and smallest number of 7, 8, and 9 digits where 2 remains at the thousands and lakhs place, we need to consider the remaining digits.

Let's start with the greatest number.

Greatest number:
For a 7-digit number, the remaining 5 digits can be any combination of numbers except 2. So, the greatest 7-digit number would have the digits in descending order, excluding 2 at the thousands and lakhs place.

For example, if we have the digits 0, 1, 3, 4, 5, 6, 7, 8, and 9 available, the greatest 7-digit number with 2 at the thousands and lakhs place would be:
2, 9, 8, 7, 6, 5, 4

For 8-digit and 9-digit numbers, follow the same principle. Keep the digits in descending order, excluding 2 at the thousands and lakhs place. The remaining digits can be any combination of numbers available.

Smallest number:
For a 7-digit number, the remaining 5 digits can be any combination of numbers except 2. So, the smallest 7-digit number would have the digits in ascending order, excluding 2 at the thousands and lakhs place.

For example, if we have the digits 0, 1, 3, 4, 5, 6, 7, 8, and 9 available, the smallest 7-digit number with 2 at the thousands and lakhs place would be:
2, 0, 1, 3, 4, 5, 6

Again, for 8-digit and 9-digit numbers, follow the same principle. Keep the digits in ascending order, excluding 2 at the thousands and lakhs place. The remaining digits can be any combination of numbers available.