Combinatorics - math word problems

Number of problems found: 348

  • Pins 2
    pin_keyboard how many different possible 4 digits pins can be found on the 10-digit keypad?
  • Dice
    dices2_4 We throw five times the dice. What is the probability that six fits exactly twice?
  • Committees
    globe How many different committees of 2 people can be formed from a class of 21 students?
  • Permutations without repetition
    permutations_3 From how many elements, we can create 720 permutations without repetition?
  • Olympics metals
    olympics In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
  • Seven
    post_1 Seven friends agree to send everyone a holiday card. How many postcards were sent?
  • Tricolors
    Flag_of_the_Netherlands.svg From the colors - red, blue, green, black and white, create all possible tricolors.
  • Two-element combinations
    combinatorics Write all two-element combinations from elements a, b, c, d.
  • Bits, bytes
    bits Calculate how many different numbers can be encoded in 16-bit binary word?
  • Tokens
    kamene In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.
  • 2nd class variations
    cards From how many elements you can create 2450 variations of the second class?
  • The gems
    smaragd The jeweler selects 4 gems for the ring. It has rubies, emeralds and sapphires. How many options does he have?
  • Dice
    dices2_5 We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
  • Word
    words What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?
  • Lottery
    loteria_1 The lottery is 60000 elk in which 6200 wins. What is the probability that the purchase of 12 elks won nothing?
  • Playing cards
    playing_cards How many possible ways are to shuffle 7 playing cards?
  • Six on dice
    dices2_1 What is the probability that when throwing two dice will fall at least one six?
  • Cards
    cards_4 The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
  • Vans
    shuttlevan In how many ways can 9 shuttle vans line up at the airport?
  • Task of the year
    years Determine the number of integers from 1 to 106 with ending four digits 2015.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...



Would you like to compute count of combinations?