Combinatorics - examples - page 5

  1. Medals
    medails In how many ways can be divided gold, silver and bronze medal among 21 contestant?
  2. Words
    words How many 3 letter "words" are possible using 14 letters of the alphabet? a) n - without repetition b) m - with repetition
  3. The camp
    diary At the end of the camp a 8 friends exchanged addresses. Any friend gave remaining 7 friends his card. How many addresses they exchanged?
  4. Digits
    numbers_2 Write the smallest and largest 1-digit number.
  5. Circles
    circles How many different circles is determined by 9 points at the plane, if 6 of them lie in a straight line?
  6. Variations 3rd class
    cubic From how many elements we can create 13,800 variations 3rd class without repeating?
  7. Raffle
    tombola_tickets In the pool is numbers from 1 to 115. What is the probability that a randomly selected number is not a prime number?
  8. Eight blocks
    cuboids Dana had the task to save the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be four
  9. Three-digit numbers
    poker_hand_ranking How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?
  10. Three-digit
    numbers_5 How many three-digit natural numbers is greater than 321 if no digit in number repeated?
  11. Combinatorics
    fontains The city has 7 fountains. Works only 6. How many options are there that can squirt ?
  12. Bulbs
    bulbs In the box are 6 bulbs with power 75 W, 14 bulbs with power 40 W and 15 with 60 W. Calculate probability that a randomly selected bulb is:
  13. Hockey
    hokej Hockey match ended 8:2. How many different matches could be?
  14. Shooters
    soldiers In army regiment are six shooters. The first shooter target hit with a probability of 49%, next with 75%, 41%, 20%, 34%, 63%. Calculate the probability of target hit when shooting all at once.
  15. Committees
    globe How many different committees of 6 people can be formed from a class of 30 students?
  16. Trainings
    tenis The table contains tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season is preparing a new training schedule. Tomas Kucera will be able to practice only in the morning, sisters Kova
  17. Three digits number
    3digit From the numbers 1, 2, 3, 4, 5 create three-digit numbers that digits not repeat and number is divisible by 2. How many numbers are there?
  18. The dice
    hracia-kocka What is the probability of events that if we throw a dice is rolled less than 6?
  19. Hearts
    hearts_cards 5 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacement. What is the probability of choosing 5 hearts in a row?
  20. 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.

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