Combinatorics - math word problems

  1. Permutations without repetition
    permutations_3 From how many elements we can create 720 permutations without repetition?
  2. Six on dice
    dices2_1 What is the probability that when throwing two dice will fall at least one six?
  3. Combinations
    math_2 From how many elements we can create 990 combinations 2nd class without repeating?
  4. First class
    prvni_jakost The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
  5. Olympics metals
    olympics In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
  6. Volleyball
    volejbal 8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?
  7. Distribution function
    distribution_fcn X 2 3 4 P 0.35 0.35 0.3 The data in this table do I calculate the distribution function F(x) and then probability p(2.5
  8. Two aces
    cards_7 From a 32 card box we randomly pick 1 card and then 2 more cards. What is the probability that last two drawn cards are aces?
  9. Division
    skauti_3 Division has 18 members: 10 girls and 6 boys, 2 leaders. How many different patrols can be created, if one patrol is 2 boys, 3 girls and 1 leader?
  10. Prize
    metals_1 How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
  11. Tricolors
    Flag_of_the_Netherlands.svg From the colors - red, blue, green, black and white, create all possible tricolors.
  12. Tokens
    kamene In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.
  13. Red balls
    gule_3 In the bag there are 3 red, 12 blue and 8 green balls. How many red balls we must be attached to the bag if we want the probability of pulling out the red balls was 20%?
  14. Competition
    sutaz 15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
  15. Word MATEMATIKA
    math_1 How many words can be created from the word MATEMATIKA by changing the order of the letters, regardless of whether or not the words are meaningful?
  16. Combinations
    kvadrat_3 If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
  17. Points in plane
    linear_eq_1 The plane is given 12 points, 5 of which is located on a straight line. How many different lines could by draw from this points?
  18. Elements
    fact_1 If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
  19. Seagull
    cajka Artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull (wi
  20. Variation equation
    fun2_4 Solve combinatorics equation: V(2, x+8)=72

Do you have an interesting mathematical word problem that you can't solve it? Enter it, and we can try to solve it.



To this e-mail address, we will reply solution; solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...



Would you like to compute count of combinations?