Permutations - practice for 12 year olds
Number of problems found: 21
- Choices 82334
There are 15 black and 15 white balls in an opaque bag. Elenka took one ball out of the bag three times. what choices of the three balls could she choose? - Indistinguishable 81481
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice. - Numbers 72404
How many numbers are less than 200, the digit sum of which is 6? - Together 70124
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
- 3-digit 35271
How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits? - You have
You have four reindeer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer? - Positions 26151
How many positions are there to store three books on the shelf? - Five-digit 13361
Write the 12 largest five-digit numbers in the twelve-position system and the 12 smallest six-digit numbers. - Certificate 6740
There are 19 children in class 6A, 7 subjects, and no one has a worse grade than a three. Can each of them have a different certificate? How many would have to be in the class so that everyone could not have another report card?
- Digit sum
How many are three-digit numbers that have a digit sum of 6? - Different 6709
Milan found out that he could wear pants and a T-shirt in a total of 28 different ways. How many T-shirts and pants can he have? List all options. - Glass with icecream
We have six kinds of ice cream and five kinds of fruit. We put 3 cups of ice cream and two fruits into each glass. How many can unique decorated glasses be? - How many
How many double-digit numbers greater than 30 can we create from digits 0, 1, 2, 3, 4, and 5? We cannot repeat numbers in a two-digit number. - Three-digit 4698
The five cards with the numbers 1, 2, 3, 4, and 5 put together all three-digit odd numbers. How many are there?
- Arrangements 4459
There are 4 classrooms on the ground floor of the school building, which are numbered 1,2,3,4. First-year students A, B, C, and D will be placed in these classrooms. Write all possible class arrangements and their number. Thank you - Girlfriends 4107
Four girlfriends want to take a photo together. How many different ways can they stand side by side? - Keyboards 2321
Miško had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Klára found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the brother - Olympics
How many ways can six athletes be placed on the podium at the Olympics? Depend on the color of the metal. - Logik game
Letter game Logik is a two-player game that has the following rules: 1. The first player thinks five-letter word in which no letter is not repeated. 2. The second player writes a five-letter word. 3. The first player answers two numbers. The first number
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