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Distribute 30 different mangoes (i) equa...

Distribute 30 different mangoes (i) equally in 6 baskets and (ii) equally among 6 children.

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To solve the problem of distributing 30 different mangoes equally in 6 baskets and among 6 children, we will break it down into two parts. ### Part (i): Distributing 30 different mangoes equally in 6 baskets 1. **Determine the number of mangoes per basket**: Since we have 30 mangoes and 6 baskets, each basket will contain \( \frac{30}{6} = 5 \) mangoes. 2. **Select mangoes for each basket**: - For the **first basket**, we need to select 5 mangoes from 30. The number of ways to do this is given by \( \binom{30}{5} \). ...
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