Combinatorics - math word problems - page 24 of 52
Number of problems found: 1031
- Wallpapers 69424
Lucia's mobile phone offers a choice of 10 ringtones, seven tones when receiving an SMS, and 15 wallpapers in the background of the display. How many ways can Lucia set up her mobile?
- Percentage 67364
Create all four-digit numbers in which 0, 2, 5, and 9 are not repeated. A) How many such numbers are there? You solve using a tree diagram. B) What percentage of them are even?
- Probability 63304
One hundred fifty pupils go to the 9th year of primary school. Of these, 66 have no siblings, 39 pupils have one sibling, 18 pupils have two siblings, and the remaining pupils have more siblings. What is the percentage probability that a randomly selected
- Five-digit 8357
How many five-digit numbers can you create from the numbers 1,2,3,4,5,6 if 1 and 2 must always be next to each other? We cannot repeat the digits.
- Participated 8264
Classes 1B, 2A, and 3C, participated in the volleyball tournament. How many ways could they take first, second, or third place? What is the probability that 1B will end before 2A class?
- Probability 86
At a business conference, there were ten social workers, 16 doctors, five lawyers, and two journalists. If a person is picked at random from the entire group, what is the probability: a) to be a lawyer b) to be a doctor.
- The three
The three boys, Adam, Boris, and Cyril, will be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away?
- Glass with icecream
We have six kinds of ice cream and five kinds of fruit. If we put three cups of ice cream and two fruits into each glass, how many uniquely decorated glasses can there be?
- Students 62184
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have?
- Different 5030
The school teaches 12 different subjects, and each subject is taught for no more than an hour a day. How many ways can the timetable be made for one day if 5 different subjects are taught that day?
- Candies
In the box are 12 candies that look the same. Three are filled with nougat, five with nuts, and four with cream. How many sweets must Ivan choose to satisfy himself by selecting two with the same filling? ...
- Hockey game
In the hockey game, they scored six goals. The Czechs played against Finland. The Czechs won 4:2. In what order did they fall goals? How many game sequences were possible during the game?
- Married 83309
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other?
- Disappointed 47411
Five competitors took part in the race. Jaro was disappointed that he didn't win. Before announcing second place, he calculated the probability of finishing second. What number did he get if he counted correctly?
- Defective 35831
Among the 24 products, seven are defective. How many ways can we choose to check a) 7 products so that they are all good b) 7 products so that they are all defective c) 3 good and two defective products?
- Different 4533
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board.
- Fourland 3542
In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them.
- Different balls
We have four different boxes and three identical balls. Place the marbles in these boxes so that the boxes can contain one, two, three or none. How many other locations are there?
- A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people
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