Combinatorics - math word problems

Number of problems found: 332

  • Orchard
    orchard 10 trees in 5 lines grows in the orchard. How many trees are in the orchard?
  • Bits, bytes
    bits Calculate how many different numbers can be encoded in 16-bit binary word?
  • Examination
    examination The class is 21 students. How many ways can choose two to examination?
  • Morse alphabet
    morse_code Calculate how many words of Morse code to create compiling dashes and dots in the words of one to four characters.
  • Teams
    football_team How many ways can divide 16 players into two teams of 8 member?
  • Guests
    hostia How many ways can 7 guests sit down on 8 seats standing in a row?
  • Tournament
    turnaj Determine how many ways can be chosen two representatives from 34 students to school tournament.
  • Elections
    gaspar_billboard In elections candidate 10 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes.
  • Chords
    chords How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
  • Confectionery
    cukrovinky The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
  • Football league
    football In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
  • 2nd class combinations
    color_circle From how many elements you can create 4560 combinations of the second class?
  • 2nd class variations
    cards From how many elements you can create 2450 variations of the second class?
  • Two doctors
    dr_cvach Doctor A will determine the correct diagnosis with a probability of 93% and doctor B with a probability of 79%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
  • Insurance
    tornado The owner of the house is insured against natural disasters and pays 0.04% annually of the value of house 53 Eur. Calculate the value of the house. Calculate the probability of disaster, if you know that 41% of the insurance is to pay damages.
  • Chess
    sachovnica How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color?
  • Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  • Seating
    kupe_1 How many ways can 6 people sit on 6 numbered chairs (e. G. , seat reservation on the train)?
  • School trip
    hostel_1 The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number)
  • Party
    party-informatikov At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?

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