Permutations with repetition - practice problems

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 28

How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
Arrangements 63384
Determine the number of arrangements of these six elements: a, a, a, b, b, c.
Characters 63404
How many characters can we create from two commas and four dots?
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?
Four-letter 67124
How many different four-letter words can we create from the letters of the word JAMA?
Identical 63414
Jeníček has 4 identical yellow dice and 3 identical blue dice. How many different colored snakes can make them?
Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful?
Balls in row
Calculate the number of ways of placing four black balls, four turquoise balls, and five gold balls in a row.
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?
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?
Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup?
Three-digit 6690
How many three-digit numbers do we make from the numbers 4,5,6,7?
According 63394
Three boys and four girls. How many ways can they be placed side by side according to gender?
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.
Three-digit numbers
How many three-digit numbers are from the numbers 0 2 4 6 8 (with/without repetition)?
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?
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?
Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is?
Four-digit 65124
Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created.

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