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A person invites a group of 10 friends a...

A person invites a group of 10 friends at dinner and sits 5 on a round table and 5 more on another round table, 4 on one round table and 6 on the other round table. Find the number of ways in each case in which he can arrange the guest.

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To solve the problem of arranging 10 friends at two round tables in two different cases, we will break it down into steps. ### Case 1: 5 friends on one round table and 5 friends on another round table 1. **Select 5 friends for the first round table**: We need to choose 5 friends out of 10. The number of ways to choose 5 friends from 10 is given by the combination formula: \[ \binom{10}{5} ...
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