Permutations - practice problems - page 4 of 14
Number of problems found: 263
- Apple pear division
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka? - Wagon assembly ways
How many ways can we assemble five wagons when sand is in three wagons and cement in two? - Safe key locks
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All - Twin cinema seating
Twins Ela and Nela came to the cinema together with their friend Hela. Only the first 10 seats in the third row are free. How many ways can they be seated if the twins want to sit next to each other, with Nela always to Ela's left and Hel right next to on - 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 - 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 Michalovci and Juvent Turiec have, 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? - Other
On other days, I often see two colors in front of my eyes - blue and yellow. I feel sad about what is happening. That is why I have a role for you today about colors. I have 5 markers in my pencil case: blue, yellow, green, red, and purple. 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? - 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, Jura, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with Jura or Ema, and Dano will not go with Ema. How many pairs does the trainer have to choose from? - Book reading orders
Petra 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 in public transport vehicles marked such single-use tickets, which had 9 numbered boxes, a certain number of which were punched with a marker. A) In how many different ways could the ticket be marked if 3 boxes were punched? B) How - 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
Create all five-digit numbers in ascending order from three, four, and two zeros.
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