I need a problem made up as well as a solution Permutations

I need a problem made up, as well as a solution.

Permutations and combinations (Should include at least two examples)

Permutations: An arrangement where order is important called permutations.

Combinations: An arrangement where order is not important known as combinations.

Problem on permutations:

Suppose 12 people needs to go to paris, but we have only 5 tickets, then in how many ways can we choose 12 people for 5 tickets.

Ans:

¹²C₁ *¹¹C1*¹⁰C₁*⁹C₁*⁸C₁* = 12*11*10*9*8 = 95040 ways

Problem on combinations:

Question: you have to choose three movies from 5 different movies, in how many can you choose the movies:

Ans:

⁵C₃ = 5!/(3!*2!) = 10 ways