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Home » $ 5a \cdot 7b = 35ab $, - AssociationVoting

$ 5a \cdot 7b = 35ab $, - AssociationVoting

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Treat the group of 5 assistants as a single block. Then, we have:

📌 Total: $1 + 8 = 9$ entities to arrange in a circle.

📌 The number of ways to arrange $n$ distinct objects in a circle is $(n-1)!$. So:

📌 Within the assistant block, the 5 assistants can be arranged among themselves in:

📌 Thus, total number of valid arrangements:

📌 8! imes 5! = 40320 imes 120 = 4838400.

📌 Pregunta: Three fair 10-sided dice, each labeled from 1 to 10, are rolled. What is the probability that the sum of the numbers is divisible by 5?

📌 We use generating functions and roots of unity filter.

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