Combinatorics - math word problems - page 26 of 54
Number of problems found: 1080
- Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n - Indistinguishable 81481
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice. - Strawberry 71664
The opaque package contains five lemons, six apples, and three strawberry candies. At least how many sweets do we have to choose so that there is at least one strawberry among them? - 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? - 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? - 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? - 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? - 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? - 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? - Different 42371
How many ways can you store seven different books side-by-side when a math book has to be on the edge of the shelf? - 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? - 4-digit 8231
How many 4-digit numeric pin codes can be created so that not all four digits are identical? - 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? - 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. - 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?
- Divisions 4044
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - 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
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