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Home » #### \( x^4 - x^2 + x + C \) - Blask

#### \( x^4 - x^2 + x + C \) - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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So total: $4 \times 3 \times 2 \times 12 = 288$ — wait, that’s larger...
Ah! Here’s the mistake: we don’t need to choose the second and third s...
So better: number of ways to assign frequencies: one category with 2,...
Number of ways to assign the roles:
Choose which outcome occurs twice: 4 choices
From remaining 3, choose 2 to occur once each: $\binom{3}{2} = 3$
The last one occurs once? No — we have only four positions. If one occ...
But when counting sequences, we need to assign positions.
Standard multinomial: number of sequences with frequencies (2,1,1,0) i...
\frac{4!}{2!1!1!0!} = 12

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