Combinatorics - math word problems

Number of problems found: 408

  • Seating
    kupe How many ways can 6 people sit on 6 numbered chairs (e. g. , seat reservation on the train)?
  • School trip
    hostel The class has 19 students. What different ways can students 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?
  • N-gon
    ngon How many diagonals have convex 11-gon?
  • Lottery
    loteria The lottery is 60000 elk in which 6200 wins. What is the probability that the purchase of 12 elks won nothing?
  • Dice
    dices How many times must throw the dice, the probability of throwing at least one six was greater than 90%?
  • 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?
  • Family
    stork_bocian What is the probability that a family with 7 childrens have: exactly 6 dívek? 2 dívky and 5 boys? Consider the birth probability of a girl is 48.87% and boy 51.13%.

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