Variations - examples

See also our variations calculator.

  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. 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
  4. 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?
  5. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  6. Vans
    shuttlevan In how many ways can 7 shuttle vans line up at the airport?
  7. 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?
  8. Seating
    kupe_1 How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
  9. Football league
    football In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
  10. Guests
    hostia How many ways can 7 guests sit down on 9 seats standing in a row?
  11. Medals
    medails In how many ways can be divided gold, silver and bronze medal among 18 contestant?
  12. 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.
  13. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?
  14. 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?
  15. Area codes
    us_codes How many 6 digit area codes are possible if the first number can't be zero?
  16. 2nd class variations
    cards From how many elements you can create 6480 variations of the second class?
  17. Friends in cinema
    cinema_1 5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter?
  18. No. of divisors
    triangle_div How many different divisors has number ??
  19. Lock
    combination-lock Combination lock will open when the right choice of 5 numbers (from 1 to 12 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?
  20. Three digits number
    plot How many are three-digit integers such that in they no digit repeats?

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