Factorial + multiplication - examples
In how many ways can 7 shuttle vans line up at the airport?
How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
How many ways can 7 guests sit down on 9 seats standing in a row?
How many ways are there to arrange 9 books on a shelf?
At the table sit 12 people, 6 on one side and 6 on the other side. Among them are 5 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
How many ways can divide 22 identical candies to 4 children?
How many different ways can sit 5 boys and 5 girls in line, if girls want to sit on the edge?
A class consists of 5 males and 18 females. How many committees of 4 are possible if the committee must consist of 3 males and 1 females?
- School trip
Class has 21 students. What different ways students can be accommodated in the hostel, where available 2× 2-bed, 3× 3-bed and 2× 4-bed rooms. (Each room has its own unique number)
On each side of the square is marked 2 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?
How many 3 letter "words" are possible using 18 letters of the alphabet? a) n - without repetition b) m - with repetition
- Seating rules
In a class are 22 seats but in 2.B class are only 14 students. How many ways can student seat? (The class has 11 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.
- 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?
How many different committees of 2 people can be formed from a class of 29 students?
Francisco got birthday 4 colour pens in different colors. How many ways he can give them side by side in pencil?
- Big factorial
How many zeros end number 710! ?
- 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
- Football league
In the football league is 16 teams. How many different sequence of results may occur at the end of the competition?
How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?