Factorial - examples
- VCP equation
Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
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?
- Playing cards
How many possible ways are to shuffle 7 playing cards?
How many ways are there to arrange 9 books on a shelf?
What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
In elections candidate 8 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes.
How many different 4 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3?
Determine how many ways can be chosen four representatives from 27 students to school tournament.
How many different committees of 2 people can be formed from a class of 29 students?
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?
- 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 ways can divide 22 identical candies to 4 children?
How many 3 letter "words" are possible using 18 letters of the alphabet? a) n - without repetition b) m - with repetition
In MATES (Small Television tipping) from 35 randomly numbers drawn 5 winning numbers. How many possible combinations there is?
In how many ways can be placed 6 athletes on the podium at the Olympics? Depend on the color of the metal.
Francisco got birthday 4 colour pens in different colors. How many ways he can give them side by side in pencil?
- 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?
How many ways can give away 32 playing cards to 3 player?