# Permutations with repetition - practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 35

- Kenneth 2

Kenneth has 100 pennies, 20 nickels, 10 dimes, and 4 quarters. How many ways can he choose coins that total 25 cents? - Different 83646

In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people. - Numbers 83481

Find out how many natural six-digit numbers exist whose digit sum is four. - Refrigerator 83310

How many possible ways can we store three lemonades, four mineral waters, and two juices in the refrigerator next to each other?

- Probability 82744

Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other. - Possibilities 82372

A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed? - Repetition: 82003

Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition: - Probability 81679

What is the probability that a roll of three dice will result in a number less than 7? - Positive integer integral

How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400?

- 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. - 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.

- 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. - 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?

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