Factorial + permutations - practice problems
Number of problems found: 68
- Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together? - 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. - Permutations 82516
From how many elements can we make 5040 permutations without repetition? - Different 82447
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors? - Indistinguishable 74294
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have? - Parking 72644
How many ways can ten cars park side by side in a parking lot? - Assemble 70414
How many ways can we assemble five wagons when sand is in three wagons and cement in two? - Classical 69634
Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John? - Arrangements 68764
We have two identical blue balls and two identical red balls. We arrange them in a row in all ways. How many different arrangements are there? - Gradually 67284
Petra borrowed four books from the library at the beginning of the summer holidays. How many orders in which she could gradually read them? - 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. - Individual 65004
In the computer game, you need to collect 5 objects in the room: a sword, a ring, a picture, a key, and a coin. It depends on the order in which we collect the individual objects. If the order is wrong, we will lose a life. How many are all in order? - Horizontally 64874
How many ways can an arranger display five different shampoos horizontally next to each other? - Triangle from sticks
Bob the boulder has many sticks of lengths 3.5 and 7. He wants to form triangles, each of whose edges consists of exactly one stick. How many non-congruent triangles can be formed with the sticks? - Book Store
The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. Books of the same kind are to be placed beside each other. How many w - 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?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.