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Q8
(CISF/2025)
Science & Technology › Basic Science (Physics, Chemistry, Biology)
The number of four-digit even numbers formed by the digits 0, 2, 4, 6, 8 without repetition is :
Result
Your answer:
—
·
Correct:
D
Explanation
To form a four-digit even number using the digits {0, 2, 4, 6, 8} without repetition, we must satisfy two conditions: the number must end in an even digit, and the thousands place cannot be zero.
Since all the provided digits {0, 2, 4, 6, 8} are even, any four-digit number formed using them will naturally be even. Thus, the problem reduces to finding the total number of four-digit numbers possible without repetition.
- Thousands place: Can be any digit except 0. (4 choices: 2, 4, 6, 8)
- Hundreds place: Can be any of the remaining 4 digits (including 0). (4 choices)
- Tens place: Can be any of the remaining 3 digits. (3 choices)
- Units place: Can be any of the remaining 2 digits. (2 choices)
Total number of even four-digit numbers = 4 × 4 × 3 × 2 = 96.
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