Logic Masters Deutschland e.V.

Milan and his four best friends make a list of their favorite school subjects. Each student writes down his own three favorites: his first, second and third choice. Which student likes which three subjects in which order?

1. Each friend choses 3 different subjects and gives a priority: 1st choice, 2nd choice, 3rd choice. On at least one of the lists, the subjects are in alphabetical order.

2. Julian and Lukas have zero or one common subject on their lists. Felix and Lukas have no common subject on their lists.

3. Niclas‘ first choice is the same subject as Milan's third choice. Milan's second choice is the same as Felix‘ first choice.

4. Julian's first choice is not Kunst (english: art). The student who choses Mathematik (english: maths) as first choice, doesn't chose Kunst as third choice.

5. Let's call the quantity of mentions of a subject "counter value". For example: Mathematik is mentioned 3 times (once as first choice, once as second choice, once as third choice), so the counter value for Mathematik is 3. On every one of the five lists, the sum of the counter values is the same!

(Translation of the subjects: "Deutsch" = German; "Englisch" = English; "Kunst" = Art; "Mathematik" = maths; "Sport" = sports; "Biologie" = biology; "Chemie" = chemistry)