Combinatorics - examples

Would you like to compute count of combinations?

  1. Seagull
    cajka Artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull (wi
  2. Elements
    fact_1 If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
  3. Combinations
    trezor_1 How many elements can form six times more combinations fourth class than combination of the second class?
  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. Tournament
    turnaj Determine how many ways can be chosen four representatives from 27 students to school tournament.

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