Combinatorics - examples - page 2

  1. Shelf
    bookshelf.JPG How many ways are there to arrange 6 books on a shelf?
  2. Chocolates
    Chocolate In the market have 4 kinds of chocolates. How many ways can we buy 19 chocolates?
  3. 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?
  4. Two doctors
    dr_cvach Doctor A will determine the correct diagnosis with a probability 86% and doctor B with a probability 87%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors.
  5. Rectangles
    rectangles How many rectangles with area 3032 cm2 whose sides is natural numbers are?
  6. Dice
    dices How many times must throw the dice, the probability of throwing at least one six was greater than 90%?
  7. Football league
    football In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
  8. Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  9. Candy
    bulls How many ways can divide 16 identical candies to 4 children?
  10. Pairs
    pair At the table sit 8 people, 4 on one side and 4 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
  11. Sales
    tesco From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
  12. Scrap
    chair_bad From 6 products are 3 scrap. What is the probability that the random pick of 2 products have no defective product?
  13. Morse alphabet
    morse_code Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters.
  14. Stacks
    euro_stacks Annie has a total of $ 702. The money must be divided into stacks so that each buyer has the same amounth of dollars. How many options she have?
  15. Coin and die
    die Flip a coin and then roll a six-sided die. How many possible combinations are there?
  16. 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?
  17. Dices
    dices_2 We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
  18. N-gon
    ngon How many diagonals has convex 11-gon?
  19. Event probability
    dices_1 The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (probability is same)?
  20. Subsets
    1venna_sets How many are all subsets of set ??

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