Permutations with repetition - practice problems
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 38
- Kenneth 2
Kenneth has 100 pennies, 20 nickels, 10 dimes, and 4 quarters. How many ways can he choose coins that total 25 cents? - Beads
We have 4 beads. One is green, one is yellow, and 2 are pink. In how many possible ways can we string them on a string? - Grouping - combinatorics
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 6D
Find out how many natural six-digit numbers exist whose digit sum is four. - Refrigerator, lemonades
How many possible ways can we store three lemonades, four mineral waters, and two juices in the refrigerator next to each other? - Probability - shelf
Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other. - Play match
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: - Aquaristics
We consider “words” (i.e. arbitrary strings of letters) obtained by rearranging the letters of the word “AQUARISTICS”. All letters are distinguishable from each other here. The number of such words that also contain the expression “CAVA” (as consecutive l - 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.
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