Learning Task 1: Collect and Select and Arrange:
Solve the following permutation and combination problems.
1. In how many ways can you arrange five mathematics books, four science books and three english books on a shelf such that books of the same subject are kept together?
2. In how many ways can six students be seated in a row of six seats if two of the students insist on sitting beside each other?
3. In a gathering, the gost make sure that each guest shakes hands with everyone else. If there are 25 guests, how many hand shakes will be done?
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