# Factorial + multiplication principle - examples

1. Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?
2. Practice
How many ways can you place 20 pupils in a row when starting on practice?
3. Vans
In how many ways can 9 shuttle vans line up at the airport?
4. Seating
How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
5. Guests
How many ways can 5 guests sit down on 6 seats standing in a row?
6. Word
What is the probability that a random word composed of chars T, H, A, M will be MATH?
7. Shelf
How many ways are there to arrange 6 books on a shelf?
8. Playing cards
How many possible ways are to shuffle 7 playing cards?
9. Candy
How many ways can divide 16 identical candies to 4 children?
10. Pairs
At the table sit 8 people, 4 on one side and 4 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
11. Kids
How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge?
12. Commitee
A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females?
13. Hockey players
After we cycle five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other?
14. Numbers
How many different 7 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3,4,5,6?
15. School trip
Class has 17 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 1× 3-bed and 2× 4-bed rooms. (Each room has its own unique number)
16. Combi-triangle
On each side of the square is marked 10 different points outside the vertices of the square. How many triangles can be constructed from this set of points, where each vertex of the triangle lie on the other side of the square?
17. Math logic
There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one w
18. Friends in cinema
5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
19. Cinema
How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
20. Seating rules
In a class are 24 seats but in 7.B class are only 18 students. How many ways can student seat? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.

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