Factorial - practice problems - page 6 of 7
Number of problems found: 135
- Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out?
- Left-handed writer
Eva, Lucia, Barbora, Ivana, and Slávka are good friends, so they always want to sit at one long table next to each other in biology class. How many ways can they sit if Slavka is left-handed and, therefore, always wants to sit on the left side of the tabl
- Division
The division has 18 members: 10 girls, six boys, and two leaders. If one patrol has two boys, three girls, and one leader, how many different patrols can be created?
- Football league
There are 16 teams in the football league. How many different sequences of results may occur at the end of the competition?
- Neighborhood
I have 7 cups: 1 2 3 4 5 6 7. How many opportunities for standings cups are there if 1 and 2 are always neighborhood?
- Olympics
How many ways can six athletes be placed on the podium at the Olympics? Depends on the color of the metal.
- Friends in cinema
5 friends went to the cinema. How many possible ways can they sit in a row if one of them wants to sit in the middle and the remaining place does not matter?
- 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?
- Combi-triangle
Each square side is marked 10 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square?
- Numbers
How many different 4 digit natural numbers in which no digit is repeated can be composed of digits 0,1,2,3?
- Seating rules
In a class, there are 24 seats, but in the 7.B class, there are only 18 students. How many ways can students sit? (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.
- MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. How many possible combinations are there?
- Cards
How many ways can you give away 32 playing cards to 7 player?
- Cinema
How many ways can 11 free tickets to the premiere of "Jáchyme throw it in the machine" be divided between 6 pensioners?
- Committees
How many different committees of 2 people can be formed from a class of 21 students?
- Commitee
A class consists of 12 males and 15 females. How many committees of 6 are possible if the committee must consist of 4 males and 2 females?
- Words
How many 2 letters "words" are possible using 14 letters of the alphabet? a) without repetition b) with repetition
- Shelf
How many ways are there to arrange 6 books on a shelf?
- Kids
How many different ways can sit 8 boys and 3 girls in line if girls want to sit on the edge?
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