Reason + combinations with repetition - practice problems

Number of problems found: 17

Balls in row
Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row.
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 different. How many di
Divide
How many different ways can three people divide 7 pears and 5 apples?
Fruits
In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
Bouquets
In the flower shop they sell roses, tulips and daffodils. How many different bouquets of 5 flowers can we made?
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 4 types of flowers would be possible?
Two groups
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?
Boys and girls
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?
Five-digit numbers
How many different five-digit numbers can be created from the numbers 2,3,5 if the number 2 appears in the number twice and the number 5 also twice?
Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful?
Three reds
What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
Roses 2
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.
Salami
We have six kinds of salami that have ten pieces and one kind of salami that has 4 pieces. How many ways can we choose five pieces of salami in a distinct way?
Hockey game
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?
Cinema
How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
Chocolates
In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?

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See also our combinations with repetition calculator. Reason - practice problems. Combinations with repetition - practice problems.