Combinations with repetition - practice problems - page 2 of 3
Task: Work through each problem with care and demonstrate your solution process for each one.Number of problems found: 57
- Train wagon assembly
There are six tank cars, eight open and 12 closed wagons at the station. How many different trainsets can be assembled from 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? - Counting hairs
Find out if two people in Bratislava have the same number of hairs on their heads. Instructions. Bratislava has about 420,000 inhabitants, and a person has less than 300,000 hairs on his head. - Probability - cards
What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet? - Dice Rolling Six Probability
Three players roll the dice. They can start the game when a six is rolled. Everyone rolls 1 time. a) What is the probability that exactly one starts in the first round? b) What is the probability that at least two start? - Student testing options
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? - Digits
How many odd four-digit numbers can we create from digits 0, 3, 5, 6, and 7? (a) the figures may be repeated (b) the digits may not be repeated - 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. - 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? - Families 2
Seven hundred twenty-nine families have six children each. The probability of a girl is 1/3, and the likelihood of a boy is 2/3. Find the number of families having two girls and four boys. - Exercise Books Division Ways
How many ways can three children divide five small and six large exercise books? Admittedly, some get nothing. - How many 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?
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