Permutation and Combination - Partitioning Distinct Objects into Groups

A team of \(14\) students goes on an excursion.

1. in how many ways can they travel if there are \(2\) vehicles, a van that can sit \(10\) and a car that can sit \(5\)?
2. at an Indian restaurant where they stop for lunch, there are only two round tables available, a table for \(6\) and a table for \(8\). Of the students \(3\) of them are good friends. Find the number of ways in which there \(3\) good friends are seated together at the same table.