Combinatorial number - examples

  1. Blocks
    cubes3_1 There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
  2. Diagonals
    diagonals What x-gon has 54 diagonals?
  3. Three students
    terc2_2 Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability 0.04. The problem is resolved
  4. Dice
    dices2_5 We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
  5. Bridge cards
    cards2 How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts?
  6. Cancel fractions
    zlomky_15 Compress the expression of factorial: (n+6)!/(n+4)!-n!/(n-2)!
  7. Word
    words What is the probability that a random word composed of chars H, T, M, A will be MATH?
  8. Chocolates
    Chocolate In the market have 4 kinds of chocolates. How many ways can we buy 23 chocolates?
  9. Rectangles
    rectangles How many rectangles with area 3002 cm2 whose sides is natural numbers are?
  10. 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?
  11. Candy
    bulls How many ways can divide 16 identical candies to 4 children?
  12. 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?
  13. N-gon
    ngon How many diagonals has convex 14-gon?
  14. 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?
  15. Party
    party-informatikov At party overyone clink with everyone. Together, they clink 171 times. How many people were at the party?
  16. 2nd class combinations
    color_circle From how many elements you can create 4560 combinations of the second class?
  17. Lines
    lines_1 In how many points will intersect 14 different lines, where no two are parallel?
  18. Commitee
    committees A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females?
  19. Family
    stork_bocian What is the probability that a family with 7 childrens have: exactly 5 girls? 7 girls and 0 boys? Consider the birth probability of a girl is 48.69% and boy 51.31%.
  20. Bulbs
    bulb The probability that the bulb can operate 5000 hours is 0.16. What is the probability that exactly one of three bulbs can operate 5000 hours?

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