Permutation & Combination · Question 13 · Hard
How many 4-digit even numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6 if no digit is repeated?
- 480
- 360
- 420
- 400
Answer and explanation
Answer: C. 420
Explanation: Units digit 0: the other 3 places take 6 × 5 × 4 = 120. Units digit 2, 4 or 6: the first digit has 5 choices (not 0, not the units digit), then 5 × 4, giving 3 × 5 × 5 × 4 = 300. Total = 120 + 300 = 420.
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