To write all whole numbers between 10 and 100 using the digits 1, S, and 8 (where S is interpreted as the digit 5), and allowing repetition of digits, follow these detailed steps:
1. Identify Valid Digits: The digits available are 1, 5 (S), and 8.
2. Form Two-Digit Numbers: Since we need to find numbers between 10 and 100, we will form two-digit numbers by combining these digits:
- Consider the tens place and units place separately.
- List possible digits for the tens place: 1, 5, and 8.
- List possible digits for the units place: 1, 5, and 8.
3. Generate Possible Numbers:
- Combine each digit for the tens place with each digit for the units place to form two-digit numbers.
- Ensure the resulting numbers are within the range 10 to 99.
Let's list them down:
- Combine 1 with 1, 5, and 8 to get: 11, 15, 18
- Combine 5 with 1, 5, and 8 to get: 51, 55, 58
- Combine 8 with 1, 5, and 8 to get: 81, 85, 88
4. Filter the Results and Sort: Ensure that all formed numbers fit within the given range (10 to 99) and list them in ascending order.
Here's the valid set of numbers:
1. 11
2. 18
3. 81
4. 88
Therefore, the whole numbers between 10 and 100 using the digits 1, 5 (S), and 8, with repetition allowed, and listed in ascending order, are: 11, 18, 81, 88.
