# Multiplication principle + combinations with repetition - practice problems

#### Number of problems found: 32

- 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? - Film premiere

How can you distribute 40 cinema tickets to 15 people? - Sapphires 45461

The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have? - Fruits

We want to plant five fruit trees in the garden, of which three are apple trees and two pears. How many different ways can we organize them? - Permutations with repetitions

How many times can the input of 1.2.2.3.3.3.4 be permutated into four digits, three digits, and two digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried the - The gems

The jeweler selects four gems for the ring. It has rubies, emeralds, and sapphires. How many options does he have? - Chocolates 38751

Jana wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does it 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 carrot and two seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has. - 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? - Trainsets 35801

There are six tank cars, eight open and 12 closed wagons at the station. How many different trainsets can be assembled from them? - Divide

How many different ways can three people divide seven pears and five apples? - 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? - Probability 8419

What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet? - 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 - 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.

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