The number of three-digit numbers that can be formed from the digits 1, 2, 3, and 4 if the number must be even is 19.
A) false
B) true

Question

The number of three-digit numbers that can be formed from the digits 1, 2, 3, and 4 if the number must be even is 19. 
A) false
B) true

Quizplus · Accepted Answer

If a number is even, its last digit must be 2 or 4. 
- If the last digit is 2, there are 3 choices for the first digit (1, 3, or 4) and 2 choices for the second digit (the remaining digits), giving a total of 3 x 2 = 6 numbers.
- If the last digit is 4, there are again 3 choices for the first digit and 2 choices for the second digit, giving another 6 numbers.
Therefore, there are only 12 numbers that can be formed, not 19.

The Number of Three-Digit Numbers That Can Be Formed from the Digits