Factorial + permutations with repetition - practice problems
Number of problems found: 15
- 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. - 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. - Characters 63404
How many characters can we create from two commas and four dots? - 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? - How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
- 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 - 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 - 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? - 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?
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