# Permutations + combinations with repetition - practice problems

#### Number of problems found: 14

- How many 13

How many ways can X³ y⁴ z³ be written without an exponent? - 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 - 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. - 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 - 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? - 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? - 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? - Three-digit 6690

How many three-digit numbers do we make from the numbers 4,5,6,7? - Identical 6517

The arranger is to display three identical beige, two identical green, and one black coat in the shop window. How many ways can it do that? - Word MATEMATIKA

How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful? - Salami

We have six kinds of salami that have ten pieces and one kind of salami that has four pieces. How many ways can we distinctly choose five pieces of salami?

We apologize, but in this category are not a lot of examples.

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