Combinatorics - examplesWould you like to compute count of combinations?
- First class
The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
How many ways can we choose 5 pcs of salami, if we have 6 types of salami for 10 pieces and one type for 4 pieces?
- 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?
The class is 22 students. How many ways can choose four to examination?
How many different 4 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3?