Variations - practice problems - page 4 of 16
Number of problems found: 314
- 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? - 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, 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? - 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 - 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. - Three digit from four digits How many three-digit numbers can you make using the digits 4,6,7 and 9?
- Four-digit number digits
Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created. - Object collection order
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? - Five-digit number repetition How many five-digit numbers can we make from digits 2,3,4,6,7,9 if they can repeat with the digits?
- Ticket selection ways
In the pocket, there are six tickets marked with numbers 1 to 6. How many ways can we sequentially, taking into account the order, select 3 of them if the chosen tickets do not return to the pocket? - Dance couple arrangement 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?
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