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Home » If \(\mathbfu, \mathbfv, - Abu Waleed Tea

If \(\mathbfu, \mathbfv, - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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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
For each such frequency pattern, number of ways to assign which word h...
Choose the word with frequency 2: 4 choices
Choose two words from remaining 3 to have frequency 1: $\binom{3}{2} =...

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