Combinations with repetition - math word problems

  1. Divide
    hrusky How many different ways can three people divide 7 pears and 5 apples?
  2. Fruits
    banan_1 In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
  3. Bouquets
    flowers In the flower shop they sell roses, tulips and daffodils. How many different bouquets of 5 flowers can we made?
  4. Twelve flowers
    flowers A florist has roses, tulips, daffodils, and carnations to use in flower arrangements. If she were to make an arrangement using 12 flowers, how many different combinations of these 4 types of flowers would be possible?
  5. Beads
    koralky2 How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
  6. Two groups
    skola The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
  7. STRESSED word
    DESSERTS Each letter in STRESSED is printed on identical cards, one letter per card and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled.
  8. Three workplaces
    workers_49 How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?
  9. Boys and girls
    dices2_10 There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?
  10. Families 2
    family_24 There are 729 families having 6 children each. The probability of a girl is 1/3 and the probability of a boy is 2/3. Find the the number of families having 2 girls and 4 boys.
  11. How many 2
    chart_2 How many three lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed
  12. Combinations 6
    dices2_3 6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations?
  13. Word MATEMATIKA
    math_1 How many words can be created from the word MATEMATIKA by changing the order of the letters, regardless of whether or not the words are meaningful?
  14. Three reds
    sedma What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
  15. Roses 2
    ruze Aunt Rose went to the flower shop to buy a bouquet with three roses. The flower shop had white, yellow and red roses. How many different flowers bouquet can a flower make for Aunt Rose create? Write all the bouquet options.
  16. Cards
    cards_8 From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
  17. Salami
    salama How many ways can we choose 5 pcs of salami if we have 6 types of salami for 10 pieces and one type for 4 pieces?
  18. Hockey game
    Hockey In the hockey game was made 6 goals. Czech played against Finland. Czechs won 4:2. In what order to fall goals? How many game sequence was possible during the game?
  19. Cards
    sedmove karty How many ways can give away 32 playing cards to 5 player?
  20. Cinema
    stale_kvoka How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?

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