Multiplication principle - examples

  1. Six on dice
    dices2_1 What is the probability that when throwing two dice will fall at least one six?
  2. Sum or product
    dice_6 What is the probability that two dice fall will have the sum 7 or product 12?
  3. Three-digit
    seven How many three-digit natural numbers do not have the number 7?
  4. Digits
    numbers_48 How many five-digit numbers can be written from numbers 0.3,4, 5, 7 that is divided by 10 and if digits can be repeated.
  5. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  6. No. of divisors
    triangle_div How many different divisors has number ??
  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. Vans
    shuttlevan In how many ways can 7 shuttle vans line up at the airport?
  9. Seating
    kupe_1 How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
  10. Guests
    hostia How many ways can 7 guests sit down on 9 seats standing in a row?
  11. 2nd class variations
    cards From how many elements you can create 6480 variations of the second class?
  12. Word
    words What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
  13. Shelf
    bookshelf.JPG How many ways are there to arrange 9 books on a shelf?
  14. 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?
  15. Rectangles
    rectangles How many rectangles with area 2832 cm2 whose sides is natural numbers are?
  16. Football league
    football In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
  17. Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  18. 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?
  19. 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.
  20. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?

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