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How many 3-digit numbers contain exactly one 1 and exactly one 2? Examples include 512 and 271.

 Jul 6, 2022

Best Answer 

 #1
avatar+2448 
-1

There are 8 choices for the remaining number (0, 3, 4, 5, 6, 7, 8, 9) 

 

Once we select this number, there are \(3! = 6\) numbers that can be made. 

 

However, we need to subtract 2 because 0 can't be a leading digit. 

 

This makes for \(8 \times 6 - 2 = \color{brown}\boxed{46}\) numbers. 

 Jul 6, 2022
 #1
avatar+2448 
-1
Best Answer

There are 8 choices for the remaining number (0, 3, 4, 5, 6, 7, 8, 9) 

 

Once we select this number, there are \(3! = 6\) numbers that can be made. 

 

However, we need to subtract 2 because 0 can't be a leading digit. 

 

This makes for \(8 \times 6 - 2 = \color{brown}\boxed{46}\) numbers. 

BuilderBoi Jul 6, 2022

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