Combinatorics - examples

Would you like to compute count of combinations?

  1. First class
    prvni_jakost 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?
  2. Cards
    cards_8 From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
  3. Salami
    salama 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?
  4. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  5. Vans
    shuttlevan In how many ways can 7 shuttle vans line up at the airport?
  6. Flags
    vlajka_cz 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?
  7. Seating
    kupe_1 How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
  8. Football league
    football In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
  9. Guests
    hostia How many ways can 7 guests sit down on 9 seats standing in a row?
  10. Candies
    bonbons_2 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? ?
  11. Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  12. Shelf
    bookshelf.JPG How many ways are there to arrange 9 books on a shelf?
  13. Ace
    ace From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace?
  14. Digits
    numbers_2 Write the smallest and largest 3-digit number.
  15. Medals
    medails In how many ways can be divided gold, silver and bronze medal among 18 contestant?
  16. Elections
    gaspar_billboard 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.
  17. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?
  18. Word
    words What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
  19. Examination
    examination The class is 22 students. How many ways can choose four to examination?
  20. Numbers
    numbers_3 How many different 4 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3?

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