Permutations - examples

See also our permutations calculator.

  1. Desks
    desks A class has 20 students. The classroom consists of 20 desks, with 4 desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends, and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob, C
  2. Word MATEMATIKA
    math_1 How many words can be created from the word MATEMATIKA by changing the order of the letters, regardless of whether or not the words are meaningful?
  3. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  4. 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?
  5. Vans
    shuttlevan In how many ways can 7 shuttle vans line up at the airport?
  6. Word
    words What is the probability that a random word composed of chars T, D, O, O, V, S, B, A, P, P, D, N, R, O, Ě will be PRAVDĚPODOBNOST?
  7. Shelf
    bookshelf.JPG How many ways are there to arrange 9 books on a shelf?
  8. 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?
  9. Rectangles
    rectangles How many rectangles with area 2832 cm2 whose sides is natural numbers are?
  10. Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  11. 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?
  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. Kids
    kids How many different ways can sit 5 boys and 5 girls in line, if girls want to sit on the edge?
  14. School trip
    hostel_1 Class has 21 students. What different ways students can be accommodated in the hostel, where available 2× 2-bed, 3× 3-bed and 2× 4-bed rooms. (Each room has its own unique number)
  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. 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?
  18. 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?
  19. Password
    codes The voltage station is every day changing the master password, which consists of three letters. Code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9. I
  20. 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

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