Permutations - examples

See also our permutations calculator.

  1. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  2. Vans
    shuttlevan In how many ways can 7 shuttle vans line up at the airport?
  3. 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?
  4. Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  5. Shelf
    bookshelf.JPG How many ways are there to arrange 9 books on a shelf?
  6. Digits
    numbers_2 Write the smallest and largest 3-digit number.
  7. Word
    words What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
  8. 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?
  9. Phone numbers
    old_phone How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
  10. 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?
  11. Olympics
    olimpiada-medaliile In how many ways can be placed 6 athletes on the podium at the Olympics? Depend on the color of the metal.
  12. Rectangles
    rectangles How many rectangles with area 2832 cm2 whose sides is natural numbers are?
  13. Neighborhood
    glasses_1 I have 7 cups: 1 2 3 4 5 6 7. How many opportunities of standings cups are there if 1 and 2 are always neighborhood?
  14. Logik game
    logik-game Letter game Logik is a two player game, which has the following rules: 1. The first player thinks five-letter word in which no letter is not repeated. 2. The second player writes a five-letter word. 3. The first player answers two numbers - the first numbe
  15. Chess
    sachovnica How many ways can select 3 fields on classic chess board with 64 fields, so that fields don't has the same color?
  16. Peak
    lanovka.JPG Uphill leads 3 paths and 1 lift. a) How many options back and forth are there? b) How many options to get there and back by not same path are there? c) How many options back and forth are there that we go at least once a lift?
  17. Hockey match
    football_2 The hockey match ended with result 3:1. How many different storylines may have the match?
  18. Three-digit numbers
    poker_hand_ranking How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?
  19. 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?
  20. Permutations without repetition
    permutations_3 From how many elements we can create 720 permutations without repetition?

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