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- 1. Fill in the Blank
How many multigraphs on 12 vertices with 8 edges?
- 2. Fill in the Blank
How many multigraphs on 6 vertices with 3 edges?
- 3. Fill in the Blank
How many different marked (simple) graphs can be on 4 vertices?
- 4. Fill in the Blank
How many different marked graphs with 4 edges can be on 9 vertices?
- 5. Fill in the Blank
In how many ways can n people be placed in 10 rooms?(rooms can be empty)
- 6. Fill in the Blank
How many bit strings of length ten begin and end with 1?
- 7. Fill in the Blank
In how many ways can 10 different balls be layed out on three identical chests? (Some boxes may remain empty)
- 8. Fill in the Blank
How many bit strings of length 12 contain exactly three 1?
- 9. Fill in the Blank
The college has 18 students specializing in mathematics and 325 in computer science. In how many ways can you choose two students so that one is a mathematician and the other is a computer scientist?
- 10. Fill in the Blank
3 passengers got into the elevator of the 12-storey building. Everyone, independently of the others, with the same probability can go out on any (starting from the 2nd) floor. How many ways can passengers get off the elevator?
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