Reason + factorial - practice problems
Number of problems found: 29
- Five couples
In how many ways can 5 couples arrange themselves in a row if they stay together? - 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? - SKMO
Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product. - 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? - 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? - Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board, so they don't endanger each other? - Cups on the shelf
We should place two green, three red, and two yellow cups side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side? - Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table? - 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 - Five letters
How many ways can five letters be arranged? - Classmates 18173
Classmates Anka, Bea, Villa, and Danka can sit next to each other on the bus. What and how many ways can they sit down? - Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books". - Possibilities 8237
How many different possibilities of settling friends A B C D E F on six seats if A wants to sit next to C - Bookshelf and books
How many ways can we place seven books on a bookshelf? - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take of all the possibilities? - Ornamental 6532
The gardener is to plant 6 ornamental trees. There are 8 different types of trees available. Two trees, A and B, will be planted on the left edge. How many ways can a gardener do this if all the saplings planted are to be different? - 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? - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob
Do you have homework that you need help solving? Ask a question, and we will try to solve it.