K-permutations + multiplication principle - practice problems - page 9 of 14
Number of problems found: 261
- Three workplaces
How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace, and 2 in the third? - Table Tennis Tournament Matches
Eight players took part in the table tennis tournament. The tournament system allows players to play with each other only once. How many matches will take place in this tournament? - Four-Digit Lock Codes
How many four-digit codes on the wheel lock can we create from the digit 0,1,2,3,4,5,6,7,8,9 if it is true that we cannot repeat the numbers? - Volleyball Tournament Matches Count
In the volleyball tournament, three domestic teams and four foreign teams played, each against each other, in single matches (no rematches). How many games have been played? - Word Arrangement VODA Together
How many words can be created from the word KLADIVO if we want the word VODA to be written next to each other? - Three-part novel
In how many ways can seven books be arranged on a shelf if the three volumes of a novel must always be placed side by side? - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - Bench seating arrangements
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench? - Election 4
In a certain election there are 3 candidates for president, 5 for secretary and only 2 for the treasurer. Find how many way the election may turn out. - Exercise Books Division Ways
How many ways can three children divide five small and six large exercise books? Admittedly, some get nothing. - Combinations 7
A multi-course meal has three choices. Three appetizers, four main courses, and three desserts. How many different combinations to choose from? - Three-digit numbers
Use the number 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there? - How many 2
How many three-lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed? - Assembling teams
As you know, at the beginning of the school year new students go on adaptation courses. In one class they divided themselves into two unequally sized groups. The larger one decided to play football, the smaller one had in mind to play basketball. It was e - Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip - Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1, 8, 7, 4,9? - Mumbai
A job placement agency in Mumbai had to send ten students to five companies, two to each. Two of the companies are in Mumbai, and others are outside. Two students prefer to work in Mumbai, while three prefer to work outside. How many ways can assignments - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take off all the possibilities? - Different Report Cards
There are 19 children in class 6 A, 7 subjects, and no one has a grade worse than a C. Can each of them have a different certificate? How many would have to be in the class so that everyone could not have a different report card? - Outfit Combination Count
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.
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