Combinatorics + reason - practice problems - page 6 of 19
Number of problems found: 378
- Probability 5576
Jana rolls two dice at the same time. What is the probability that she will score a total of four points? - Natural 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Dining 5004
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course? - Cups on the shelf
We should place two green, three red, and two yellow cups side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side?
- Table and chairs
Four people should sit at a table in front of a row of 7 chairs. What is the probability that there will be no empty chair between them if people choose their place entirely randomly? - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - To improve
To improve her handwriting, Paula practices writing the numbers 1 to 200 in words. How often will she have written the word "one" in all? - Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts? - Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board, so they don't endanger each other?
- Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6? - Ascending 32663
How many natural numbers can you make from the digits in 4052? No digit may be repeated in the number entry. Sort the numbers in ascending order of size. - Double-digit 17103
How many double-digit numbers can we create from the digits 1, 2, 3, 4, 5, and 6 if we can repeat the digits in the number? - Different 7860
How many different triplets can be created from 4 pupils if it does not matter the order of the pupils in the triplets? - Football 5788
Tomas has four football jerseys: red, blue, white, and green. How many ways can Tomáš place them on the shelf next to each other so that the red and blue jerseys are adjacent?
- Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there? - Toys
3 children pulled 9 different toys from a box. How many ways can toys be divided, so each child has at least one toy? - Calculation 73364
From the number 5,4,0,7,8, create three-digit numbers, so they do not repeat and solve the problem by calculation. - Identical 71234
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka?
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