Permutations and Combinations · Class 11 · CBSE · Science Mathematics
How many 5-digit even numbers can be formed using each of the digits 0, 1, 2, 3 and 4 exactly once?
Practice question from Permutations and Combinations (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
hard · MCQ · Q-8FE7E2
How many 5-digit even numbers can be formed using each of the digits 0, 1, 2, 3 and 4 exactly once?
- A.48
- B.60Correct answer
- C.72
- D.96
Solution
If the last digit is 0, the remaining digits can be arranged in ways. If the last digit is 2 or 4, the first digit has 3 choices (it cannot be 0), and the remaining three digits have arrangements, giving . Thus, the total is .
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