# Combinatorial number + combinations with repetition - math problems

#### Number of problems found: 21

• 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?
How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
• 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?
• Cards
From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
• Chocolates
In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
• Combinations 6
6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations?
• 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?
• Three reds
What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
• Cinema
How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
• 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?
• Candy
How many ways can divide 10 identical candies to 5 children?
• Three workplaces
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?
• 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?
• 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.
• Families 2
Seven hundred twenty-nine families are having six children each. The probability of a girl is 1/3, and the probability of a boy is 2/3. Find the number of families having two girls and four boys.
• 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?
• Divide
How many different ways can three people divide 7 pears and 5 apples?
• 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
• STRESSED word
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.

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