A number is oddastic if all of its digits are odd. For example, 7. 19 and 353 are oddastic. However 16 and 707 are not oddastic since 6 and 0 are even digits How many of the numbers from 100 to 999 are oddastic? Please select only one answer A. 125 B. 154 C. 155 D. 130

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To determine how many three-digit numbers (from 100 to 999) are **oddastic** (i.e., all their digits are odd), follow these steps:

1. **Identify the Odd Digits:**
   The odd digits are {1, 3, 5, 7, 9}.

2. **Determine the Choices for Each Digit:**
   - **Hundreds Place:** Since the number must be between 100 and 999, the hundreds digit cannot be zero and must be one of the odd digits. There are **5** choices (1, 3, 5, 7, 9).
   - **Tens Place:** Must be an odd digit. There are **5** choices (1, 3, 5, 7, 9).
   - **Units Place:** Must also be an odd digit. There are **5** choices (1, 3, 5, 7, 9).

3. **Calculate the Total Number of Oddastic Numbers:**
   $$
   \text{Total} = 5 \ (\text{hundreds}) \times 5 \ (\text{tens}) \times 5 \ (\text{units}) = 125
   $$

**Answer:**  
**A. 125**
There are 125 oddastic numbers between 100 and 999.

A number is oddastic if all of its digits are odd. For example, 7. 19 and 353 are oddastic. However 16 and 707 are not oddastic since 6 and 0 are even digits How many of the numbers from 100 to 999 are oddastic? Please select only one answer A. 125 B. 154 C. 155 D. 130

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