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10 cards from this deck
Multiply the number of available options at each step
Treat them as a single unit
Total valid = All possible - Forbidden arrangements
n!n1!×n2!×...×nk!\frac{n!}{n_1! \times n_2! \times ... \times n_k!}n1!×n2!×...×nk!n!
8×7×6=3368 \times 7 \times 6 = 3368×7×6=336 ways
6!×2!=14406! \times 2! = 14406!×2!=1440 ways
3!2!=3\frac{3!}{2!} = 32!3!=3 arrangements
7!2!×2!=1260\frac{7!}{2! \times 2!} = 12602!×2!7!=1260 arrangements
6×5×4=1206 \times 5 \times 4 = 1206×5×4=120 numbers
Use complementary counting: all - unwanted
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