Combinatorics - math word problems

Number of problems found: 316

  • 2nd class variations
    cards From how many elements you can create 2450 variations of the second class?
  • 2nd class combinations
    color_circle From how many elements you can create 4560 combinations of the second class?
  • Football league
    football In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
  • Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  • Tournament
    turnaj Determine how many ways can be chosen two representatives from 34 students to school tournament.
  • Event probability
    dices_1 The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (probability is same)?
  • Dice
    dices How many times must throw the dice, the probability of throwing at least one six was greater than 90%?
  • Guests
    hostia How many ways can 7 guests sit down on 8 seats standing in a row?
  • 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?
  • 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.
  • 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)
  • Phone numbers
    old_phone How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
  • N-gon
    ngon How many diagonals has convex 11-gon?
  • Party
    party-informatikov At the party everyone clink with everyone. Together, they clink 406 times. How many people were at the party?
  • 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%.

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