How many positive odd integers less than 300 can be formed using the digits 0, 1,2,3,4?
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
To form positive odd integers less than 300 using the digits 0, 1, 2, 3, 4, we need to consider the units and tens places.
- Units Place:
- For an odd integer, the units place must be 1, 3, or 4.
- Tens Place:
- For the tens place, any of the digits 0, 1, 2, 3, 4 can be used.
Now, let's consider the possibilities:
- If the units place is 1, the tens place can be any of the digits 0, 2, 3, 4.
- If the units place is 3, the tens place can be any of the digits 0, 1, 2, 4.
- If the units place is 4, the tens place can be any of the digits 0, 1, 2, 3.
So, for each choice of the units place (1, 3, or 4), there are 4 choices for the tens place.
The total number of positive odd integers less than 300 that can be formed is 3×4=12
3×4=12.