Combinatorics - examplesWould you like to compute count of combinations?
- 7 heroes
5 heroes galloping on 5 horses behind. How many ways can sort them behind?
In how many ways can 7 shuttle vans line up at the airport?
How many different flags can be made from colors red, white, blue, black, yellow, green, purple, gray, orange so that each flag consisted of three different colors?
How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
- Football league
In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
How many ways can 7 guests sit down on 9 seats standing in a row?
In the box are 12 candies that look the same. Three of them are filled with nougat, five by nuts, four by cream. At least how many candies must Ivan choose to satisfy itself that the selection of two with the same filling? ?
- Playing cards
How many possible ways are to shuffle 7 playing cards?
How many ways are there to arrange 9 books on a shelf?
From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace?
Write the smallest and largest 3-digit number.
In how many ways can be divided gold, silver and bronze medal among 18 contestant?
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.
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
How many different 4 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3?
- Bureau of Labor
Bureau of Labor is a state institution that provides mike and the rest for their so-called clients. The mission of the Bureau of Labor is spend taxpayer money to provide relaxation and benefits to those who do not want to work. Popularly speaking sense the
The class is 22 students. How many ways can choose four to examination?
Determine how many ways can be chosen four representatives from 27 students to school tournament.
- Weekly service
In the class are 16 pupils. How many opportunities have the teacher if he wants choose two pupils randomly who will weeklies?