Combinatorics - practice for 12 year olds
Number of problems found: 105
- A band
A band played an encore at 2 of its last 4 shows. Considering this data, how many of the band's next 14 shows would you expect to have an encore? - 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? - Probability 80394
We have 10 red and 10 white balls. We will take 5 white. What is the probability of picking a white ball? - Four-digit 79614
Determine the number of all four-digit natural numbers in decimal notation in which the digit 0 is not present, and each of the remaining nine numbers occurs at most once.
- T-shirts 73074
Dušan has 8 T-shirts and three pairs of shorts in his closet. How many ways can he dress for school? - Three-digit 71724
Use the product rule to find out how many three-digit numbers exist. - Three-digit number
How many three-digit natural numbers can we form from the digits 0, 1, and 2 if the numerals can be repeated in these numbers? - Combinations 63634
Jana has three blouses: red, blue, and white, and three skirts: blue, black, and brown. In how many days will all combinations of blouses and skirts change? - In PE
In PE, students play a game where they do different exercises depending on the color of marble that Coach Forbes draws. Coach Forbes has a jar with 6 red marbles, 12 blue marbles, 16 purple marbles, two green marbles, and four yellow marbles. What is the
- Double six-six
What is the probability that a player in the games of ludo will throw a double six twice? - Probability 41071
Six boys and nine girls played in the school group. What probability will they point to the boy when they are reproached? - 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? - Participants 33551
How many ways could the four participants in the finals of the Peťo, Juro, Martin, and Števo sports competition take the first three places? Write each option. - Probability 13973
There are three types of pinwheels on the tray, two caramel, four coffee, and one vanilla. Jurko chose one dessert. What is the probability that he decided on a coffee pinwheel?
- Telephone numbers
How many 7-digit telephone numbers can we put together so that each number consists of different digits? - Probability 8244
There are chips in the bag with numbers from 1 to 25. What is the probability of choosing a number with a digit sum of 6? - Decorations 7693
Petra was preparing a pudding cup to celebrate the holiday. It had four types of pudding, five types of fruit, and two types of decorations. How many different glasses could she prepare with one pudding, one fruit, and one garnish? - 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? - 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.
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