Combinatorics - math word problems

Number of problems found: 410

  • Flags
    vlajka_cz How many different flags can be made from colors red, yellow, blue, green, white to consist of three different colors?
  • Shooter
    terc The probability that a good shooter hits the center of the target circle I is 0.1. The probability that the target hit the inner circle II is 0.58. What is the probability that it hits the target circle I or II?
  • Shooters
    soldiers In army regiment are six shooters. The first shooter target hit with a probability of 49%, next with 75%, 41%, 20%, 34%, 63%. Calculate the probability of target hit when shooting all at once.
  • Event probability
    dices The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (chance is the same)?
  • Bulbs
    bulb The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of eight bulbs can operate 4000 hours?
  • 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 25 students. How many ways can choose 5 students 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 9 guests sit down on 10 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 house owner 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.

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