Combinations with repetition + combinatorial number - practice problems
Number of problems found: 37
- Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people. - Possibilities 82372
A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed? - Possibilities 81788 The ring consists of 4 beads. There are 5 different colors of beads in the package. How many possibilities are there to create one ring, and can the colors repeat?
- Contestants 67104
The contestants have to create an ice cream sundae containing three different types of ice cream. They can use cocoa, yogurt, vanilla, hazelnut, punch, lemon and blueberry ice cream. How many different ice cream sundaes can the contestants create?
- Sons
The father has six sons and ten identical, indistinguishable balls. How many ways can he give the balls to his sons if everyone gets at least one? - Six attractions
How many opportunities do you have if you want to complete ten rides on the fair, but there are only six attractions? - Sapphires 45461
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have? - Chocolates 38751
Jane wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does she have? - Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup?
- Seedbeds
The father wants to plant two seedbeds of carrots and two seedbeds of onion. Use a tree chart to find how many different options he has for placing the seedbeds. - Honored students
Of the 25 students in the class, ten are honored. How many ways can we choose five students from them if there are to be exactly two honors between them? - Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times more than the given points? - Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di - Divide
How many different ways can three people divide seven pears and five apples?
- Fruits
The shop sells four kinds of fruits. How many ways can we buy three pieces of fruit? - Bouquets
The flower shop sells roses, tulips, and daffodils. How many different bouquets of five flowers can we make? - Twelve 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 four types of flowers would be possible?
- Beads
How many ways can we thread four red, five blue, and six yellow beads onto a thread? - Two groups
The group of 10 girls should be divided into two groups with at least four girls in each group. How many ways can this be done?
There are 20 students in the class, four of them are being tested by the teacher. How many options are there to choose who the teacher will test?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
