Permutations - practice problems - page 9 of 14

Number of problems found: 262

Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys
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?
Tournament 7975
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 7953
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?
A pizza
A pizza place offers 14 different toppings. How many different three-topping pizzas can you order?
Three numbers
We have three different non-zero digits. We will create all three-digit numbers from them and use all three figures in each. We add all the made numbers and get the sum of 1554. What were the numbers?
Volleyball 7827
In the volleyball tournament, three teams and four foreign teams played, each with each other, in one match without revenge. How many games have been played?
Created 7758
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 stored on a shelf if there is one three-part novel to be placed side by side?
Friends 7624
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.
Modifications 7479
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb
Admittedly 7431
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?
Competition 7328
Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a t
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?
Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number.
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
Notation 7014
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers.

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