Question
Find the number of 3-digit numbers that can be formed
using the digits 0, 1, 4, 5, 7 such that repetition of digits is not allowed.Solution
• The first digit (hundreds place) cannot be 0 (it must be 1, 4, 5, or 7 → 4 choices). • The second digit can be any of the remaining 4 digits. • The third digit can be any of the remaining 3 digits. • So, total numbers: 4×4×3=484 \times 4 \times 3 = 48 4×4×3=48
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