Discussion
The number of 3-digit even numbers that can be formed with the digits 0, 1, 2, 3, 4, 5, 6 are
Answer: C
The number is 105.
The digits are taken without repetition (with repetition the count is 168, which is not offered). An even number ends in 0, 2, 4 or 6, and the hundreds digit cannot be 0, so split by the last digit.
\[ \begin{aligned} \text{ends in 0} &: 6 \times 5 = 30 \\ \text{ends in 2, 4, 6} &: 3 \times (5 \times 5) = 75 \\ \text{total} &= 30 + 75 = 105 \end{aligned} \]
When the last digit is 2, 4 or 6, the hundreds digit has 5 choices (not 0, not the last digit) and the tens digit 5 (any remaining digit, including 0). 30 and 75 are the two cases separately.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development