Combinatorics - problems

  1. Dice
    dices2_4 We throw five times the dice. What is the probability that six fits exactly twice?
  2. Find the 2
    square_4 Find the term independent of x in the expansion of (4x3+1/2x)8
  3. Combinations 6
    dices2_3 6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap and 1 strap. How many possible combinations?
  4. Subsets
    venn5 How many 7 element's subsets can be made from the 12 element set?
  5. Raffle
    tombola_3 There are 200 draws in the raffle, but only 20 of them win. What is the probability of at least 4 winnings for a group of people who have bought 5 tickets together?
  6. How many
    numbers2_41 How many double-digit numbers greater than 30 we can create from digits 0, 1, 2, 3, 4, 5? Numbers cannot be repeated in a two-digit number.
  7. No. of divisors
    triangle_div How many different divisors has number ??
  8. Rectangle
    diagonal In rectangle with sides 10 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
  9. 7 heroes
    7statocnych 5 heroes galloping on 5 horses behind. How many ways can sort them behind?
  10. Ace
    ace From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace?
  11. Flags
    vlajka_cz How many different flags can be made from colors white, yellow, red, blue, green, orange so that each flag consisted of three different colors?
  12. Vans
    shuttlevan In how many ways can 8 shuttle vans line up at the airport?
  13. Seating
    kupe_1 How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)?
  14. Pediatrician
    doctor Pediatrician this month of 21 working days takes 3 days holidays. What is the probability that on Monday will be at work?
  15. Bureau of Labor
    UPSVAR Bureau of Labor is a state institution that provides mike and the rest for their so-called clients. The mission of the Bureau of Labor is spend taxpayer money to provide relaxation and benefits to those who do not want to work. Popularly speaking sense the
  16. Guests
    hostia How many ways can 7 guests sit down on 9 seats standing in a row?
  17. 2nd class variations
    cards From how many elements you can create 6480 variations of the second class?
  18. Word
    words What is the probability that a random word composed of chars T, M, A, H will be MATH?
  19. Shelf
    bookshelf.JPG How many ways are there to arrange 9 books on a shelf?
  20. Chocolates
    Chocolate In the market have 3 kinds of chocolates. How many ways can we buy 13 chocolates?

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