Divide

How many different ways can three people divide 7 pears and 5 apples?

Correct answer:

x =  756

Step-by-step explanation:

C2(9)=(92)=9!2!(92)!=9821=36 n1=7 n2=5 k=31=2  C2(7)=(72)=7!2!(72)!=7621=21  x1=(n1+kk)=(7+22)=36 x2=(n2+kk)=(5+22)=21  x=x1 x2=36 21=756



We will be pleased if You send us any improvements to this math problem. Thank you!



Showing 5 comments:
#
Math student
I think that you mixed up n and k. My understanding is that : n = 3, k1 = 7, k2 = 5

1 year ago  1 Like
#
Math student
shouldn't it be (7 2) and (9 2)?

1 year ago  1 Like
#
Leilani Sue
Why are (7 3) and (9 3) being multiplied?

#
Zs+ucitel
its 9 choose 3.... its combinations with repetions - and use formula

#
Zs+ucitel
Number of ways of dividing 'n' identical objects into 'r' groups such that each group can contain any number of objects is given by:

C( n+k-1,k-1)

avatar






Tips to related online calculators
See also our combinations with repetition calculator.
Would you like to compute count of combinations?

Related math problems and questions:

  • Candy
    bulls How many ways can divide 10 identical candies to 5 children?
  • 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?
  • 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?
  • Chocolates
    Chocolate In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
  • Tournament
    futball_ball How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the overall winner of the tournament?
  • 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?
  • Fruits
    banan_1 In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
  • Math logic
    children_7 There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one wa
  • Beads
    koralky2 How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
  • Combinations of sweaters
    sveter I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
  • Apples and pears
    hrusky2 Mom divided 24 apples and 15 pears to children. Each child received the same number of apples and pears - same number as his siblings. How many apples (j=?) and pears (h=?) received each child?
  • Three-digit numbers
    poker_hand_ranking How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?
  • 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?
  • Hockey game
    Hockey In the hockey game was made six goals. Czech played against Finland. Czechs won 4:2. In what order to fall goals? How many game sequences were possible during the game?
  • Cards
    sedmove karty How many ways can give away 32 playing cards to 7 player?
  • 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?
  • Honored students
    metals Of the 25 students in the class, 10 are honored. How many ways can we choose 5 students from them, if there are to be exactly two honors between them?