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1. On the plane there are 6 different points (no 3 of them are lying on the same line). How
many segments do you get by joining all the points?

2. On a circle there are 9 points selected. How many triangles with edges in these points
exist?

3. In how many ways you can choose 8 of 32 playing cards not considering their order?

4. The playing cards can be chosen in 10 518 300 ways. In the confectioners 5 different ice creams are sold. A father would like to buy 15 caps of ice cream for his family. In how many ways can he buy the ice cream?

5. How many triangles can be formed by joining 15 points on the plane, in which no line joining any three points?