Multiplication + multiplication principle - examples

  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. Seating
    kupe_1 How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
  5. Football league
    football In the 2nd football league is 19 teams. How many ways can be filled first, second and third place?
  6. Guests
    hostia How many ways can 7 guests sit down on 9 seats standing in a row?
  7. Shelf
    bookshelf.JPG How many ways are there to arrange 9 books on a shelf?
  8. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?
  9. Commitee
    committees A class consists of 5 males and 18 females. How many committees of 4 are possible if the committee must consist of 3 males and 1 females?
  10. 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?
  11. 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?
  12. Candy
    bulls How many ways can divide 22 identical candies to 4 children?
  13. Words
    words How many 3 letter "words" are possible using 18 letters of the alphabet? a) n - without repetition b) m - with repetition
  14. Three digits number
    plot How many are three-digit integers such that in they no digit repeats?
  15. 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?
  16. 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.
  17. No. of divisors
    triangle_div How many different divisors has number ??
  18. Cars plates
    car_plate How many different licence plates can country have, given that they use 3 letters followed by 4 digits?
  19. Pairs
    dvojice From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs?
  20. Bits, bytes
    bits Calculate how many different numbers can be encoded in 16-bit binary word?

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