Book Maths Puzzle Numerical Ability Permutation and Combination

In how many ways can 10 books be arranged on a shelf such that a particular pair of books will never be together?

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Book Other Question

Arun wants to send invitation letter to his 7 friends. In how many ways can he send the invitation letter if he has 4 servants to carry the invitation letters Find the number of triangles which can be drawn out of n given points on a circle?