Permutations - math word problems - page 12 of 18
Number of problems found: 342
- 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. - Number machine modifications
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 - 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? - Darts Score Combinations
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.
- 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 - Natural number digits
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. - 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? - PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by the number one and by itself. • The first digit is larger than the second. • The second digit is - 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? - Digit sum
How many are three-digit numbers that have a digit sum of 6?
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