Combinatorics - math word problems - page 23 of 51
Combinatorics is a part of mathematics that investigates the questions of existence, creation and enumeration (determining the number) of configurations.It deals with two basic tasks:
How many ways can we select certain objects
How many ways can we arrange certain objects
Number of problems found: 1005
- Probability 66644
Oskar observes the arrivals and departures of cars in the parking lot. At one point, there were 99 cars in the parking lot: 25 red, 17 white, and the rest were black. What is the percentage probability that a black car was leaving the parking lot at a giv - Tournament's 32031
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - Probability 66424
There are 5 chocolate, 3 cottage cheese, and 2 apricot croissants in the bag. Croissants are randomly selected in bags. What is the probability of drawing 1 chocolate, 1 cheese, and 1 apricot croissant without returning? - Successively 63644
In an opaque box, identical cubes of different colors: 15 are red, 8 are blue, and 7 are green. We successively drew 10 red, 4 blue, and 3 green dice. What is the probability that we draw a red die from the remaining dice in the next roll?
- Sequentially 63274
In the pocket, there are six tickets marked with numbers 1 to 6. How many ways can we sequentially, taking into account the order, select 3 of them if the chosen tickets do not return to the pocket? - Combinations and eggs
You have colored 4 red eggs, 3 green, 4 yellow, 5 blue, and 5 white. A caroler stops by you, and you decide to give him three eggs of different colors. How many options (different color combinations) do you have for gifting a caroler? - 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? - Roses 2
Aunt Rose went to the flower shop to buy three rose bouquets. The flower shop had white, yellow, and red roses. How many different flowers bouquets can a flower make for Aunt Rose create? Write all the bouquet options. - 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? - 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? - Hockey game
In the hockey game, they made six goals. The Czech played against Finland. The Czechs won 4:2. In what order to fall goals? How many game sequences were possible during the game? - 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?
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