Permutations with repetition - practice problems

Number of problems found: 24

Identical 71234
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka?
Assemble 70414
How many ways can we assemble five wagons when sand is in three wagons and cement in two?
Four-letter 67124
How many different four-letter words can we create from the letters of the word JAMA?
Word OPTICAL
Find the number of possible different arrangements of the letters of the word OPTICAL such that the vowels would always be together.
Identical 63414
Jeníček has 4 identical yellow dice and 3 identical blue dice. How many different colored snakes can make them?
Characters 63404
How many characters can we create from two commas and four dots?
According 63394
Three boys and four girls. How many ways can they be placed side by side according to gender?
Arrangements 63384
Determine the number of arrangements of these six elements: a, a, a, b, b, c.
Balls in row
Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row.
How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
Fruits
In the garden we want to plant 5 fruit trees, of which three are apple trees and two pears. How many different ways can we organize them?
Permutations with repetitions
How many times the input of 1.2.2.3.3.3.4 can be permutated into 4 digits, 3 digits and 2 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 permutation fo
Syrups
In the shop they sell 3 types of syrups - apple, raspberry, orange. How many ways can you buy 4 bottles of syrup?
Seedbeds
The father wants to plant 2 seedbeds of carrot and 2 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 different. 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?

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