Combinatorics - examples

Would you like to compute count of combinations?

  1. Pins 2
    pin_keyboard how many different possible 4 digits pins can be found on the 10-digit keypad?
  2. Tricolors
    Flag_of_the_Netherlands.svg From the colors - red, blue, green, black and white, create all possible tricolors.
  3. Roses 2
    ruze Aunt Rose went to the flower shop to buy a bouquet with three roses. The flower shop had white, yellow and red roses. How many different flowers bouquet can a flower make for Aunt Rose create? Write all the bouquet options.
  4. VCP equation
    combinatorics3 Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
  5. Digits
    numbers2_18 How many natural numbers greater than 4000 which are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many will the number of natural numbers less than 4000 and the numbers can be repeated?
  6. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  7. Vans
    shuttlevan In how many ways can 7 shuttle vans line up at the airport?
  8. 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?
  9. Seating
    kupe_1 How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
  10. Football league
    football In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
  11. Guests
    hostia How many ways can 7 guests sit down on 9 seats standing in a row?
  12. 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? ?
  13. Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  14. Ace
    ace From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace?
  15. Shelf
    bookshelf.JPG How many ways are there to arrange 9 books on a shelf?
  16. Digits
    numbers_2 Write the smallest and largest 3-digit number.
  17. Medals
    medails In how many ways can be divided gold, silver and bronze medal among 18 contestant?
  18. Word
    words What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
  19. 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.
  20. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?

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