Variations - examples

See also our variations calculator.

  1. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  2. No. of divisors
    triangle_div How many different divisors has number ??
  3. Flags
    vlajka_cz How many different flags can be made from colors white, yellow, red, blue, green, orange so that each flag consisted of three different colors?
  4. Vans
    shuttlevan In how many ways can 7 shuttle vans line up at the airport?
  5. Seating
    kupe_1 How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
  6. Guests
    hostia How many ways can 7 guests sit down on 9 seats standing in a row?
  7. 2nd class variations
    cards From how many elements you can create 6480 variations of the second class?
  8. Football league
    football In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
  9. Morse alphabet
    morse_code Calculate how many words of Morse code to create compiling commas and dots in the words of one to five characters.
  10. Pairs
    pair At the table sit 12 people, 6 on one side and 6 on the other side. Among them are 5 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
  11. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?
  12. Lock
    combination-lock Combination lock will open when the right choice of 4 numbers (from 1 to 14 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?
  13. Bits, bytes
    bits Calculate how many different numbers can be encoded in 16-bit binary word?
  14. Area codes
    us_codes How many 6 digit area codes are possible if the first number can't be zero?
  15. 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?
  16. Toys
    toys 3 children pulled 9 different toys from a box. Many ways can be divided toys so that each children had at least one toy?
  17. Three digits number
    plot How many are three-digit integers such that in they no digit repeats?
  18. Hockey players
    players After we cycle five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other?
  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. Cars plates
    car_plate How many different licence plates can country have, given that they use 3 letters followed by 4 digits?

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