Permutations - practice problems - page 5 of 18
Number of problems found: 342
- Squash tournament matches
Twelve players signed up for the squash tournament. Based on the lottery, they formed pairs, and in the first round, each pair played one match. The winners advanced to the second round, where they played each other one game at a time. How many matches we - In the centre
In the centre of the city a new restaurant was opened. The customer can choose whether he wants penne, spaghetti or fusilli. He can have them salty with one of five sauces and a portion will according to his wish either be sprinkled, or not sprinkled with - Concert seating ways
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? - Match course possibilities
How many different courses could the match between AC Michalovce and Juventus Turiec have had, which ended 2:1? - Dance couple pairs
Ten girls and seven boys are in the dance group. Only one mixed couple is to go to the competition. How many possible pairs can we choose from? - Miloš 2
Miloš works in an optician's. He helps his friend Martin with the selection of lenses for prescription glasses. These can have: - a special anti-scratch treatment, - anti-reflection – ensures greater permeability of light into the eye, - photochromic – da - Other
On other days, I often see two colours before my eyes — blue and yellow. I feel sad about what is happening. That is why I have a task for you today about colours. I have 5 markers in my pencil case: blue, yellow, green, red, and purple. In how many ways - Ball arrangement ways
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? - Number divisibility probability
What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five? - Dice probability greater
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll? - House number divisibility The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li
- Isosceles triangle construction
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options. - Student pair selection
The coach must choose two students from Sam, George, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with George or Emma, and Dan will not go with Emma. How many pairs does the trainer have to choose from? - Book reading orders
Patricia borrowed four books from the library at the beginning of the summer holidays. How many orders in which she could gradually read them? - Numbered
In the past, passengers on public transport validated single-use tickets that had 9 numbered boxes, a certain number of which were punched with a validator. A) In how many different ways could a ticket be validated if 3 boxes were punched? B) In how many - Weekly pair options
There are 13 boys and 17 girls in the class. The weeklies are always either two girls or a boy and a girl. The teacher calculated that she has 357 ways to create a pair of weekly newspapers. However, Anetka did not come to school on Monday morning. How ma - Word letter creation
How many different four-letter words can we create from the letters of the word JAMA? - Cookie selection ways
It was Tibor's birthday, and he bought 8 different cookies for his friends (Horalky, Tatanky, Kávenky, Attack, Mila, Anita, Mäta, Lina). He put them all in a box, and each friend could choose two pieces. Tanya chose first. Which two cookies could Táňa cho - Five-digit number creation
List all five-digit numbers in ascending order that can be formed using the digits three, four, and two zeros. - Probability of picking
There are 5 chocolate, 3 cottage cheese, and 2 apricot croissants in the bag. Croissants are randomly selected in bags. What is the probability of drawing 1 chocolate, 1 cheese, and 1 apricot croissant without returning?
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