Variations + multiplication - 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. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  3. Vans
    shuttlevan In how many ways can 7 shuttle vans line up at the airport?
  4. 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?
  5. Seating
    kupe_1 How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
  6. Football league
    football In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
  7. Guests
    hostia How many ways can 7 guests sit down on 9 seats standing in a row?
  8. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?
  9. 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?
  10. No. of divisors
    triangle_div How many different divisors has number ??
  11. 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?
  12. Three digits number
    plot How many are three-digit integers such that in they no digit repeats?
  13. 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.
  14. Cars plates
    car_plate How many different licence plates can country have, given that they use 3 letters followed by 4 digits?
  15. Bits, bytes
    bits Calculate how many different numbers can be encoded in 16-bit binary word?
  16. The camp
    diary At the end of the camp a 9 friends exchanged addresses. Any friend gave remaining 8 friends his card. How many addresses they exchanged?
  17. 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?
  18. Prize
    metals_1 How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
  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. Seating rules
    school_class In a class are 22 seats but in 2.B class are only 14 students. How many ways can student seat? (The class has 11 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.

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