- Can you draw a bicycle? Answer: unlikely!
- 8 rows, 7 seats in each; how many tickets (randomly taken) ensure that you have two seats next to each other in the same row? Answer: 33.
- Is it possible to cut pizza into 5 pieces so that after everyone eats the cheesy part, 6 pieces of crust are left (no crust breaking)? Answer: Yes! What's the largest number of pieces of crust can be left? Answer: 8.
- Sets: empty sets, subsets.
Game: Rock-Scissors-Paper, played collectively (whoever beats the biggest team, wins).
- The following sets are given:
\[A = \{1, 3, 7, 137\}, B = \{3, 7\}, C = \{0, 1, 3\}. \] - Which of them are subsets of some other set?
- How many subsets each of them has?
- Among the numbers \(1/2, 1/3, 1/4, 1/5, 1/6, 1/7 \ldots\) choose 5 so that their sum is equal to 1.
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