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12 cards from this deck
Multiply the number of options at each step
n×(n−1)×(n−2)×...×2×1n \times (n-1) \times (n-2) \times ... \times 2 \times 1n×(n−1)×(n−2)×...×2×1
111
4×3×2×1=244 \times 3 \times 2 \times 1 = 244×3×2×1=24
5,0405,0405,040
6!=7206! = 7206!=720
Handle the most restrictive conditions first
6×5×4×3=3606 \times 5 \times 4 \times 3 = 3606×5×4×3=360
5×4×1=205 \times 4 \times 1 = 205×4×1=20 (last digit = 8)
Each choice is independent
When order matters
408408408
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