Combinatorics - math word problems - page 24 of 57
Number of problems found: 1135
- Bulb switch puzzle
Here, you have a task to think about but don't look for great complexity in it. You have 6 bulbs connected here. A to F and 6 switches No. 1 to No. 6. Your task will be to gradually determine which bulbs will always be on if any of the switches are in the - Left-handed writer
Eve, Lucy, Barbara, Ivy, and Sylvia are good friends, so they always want to sit at one long table next to each other in biology class. How many ways can they sit if Sylvia is left-handed and, therefore, always wants to sit on the left side of the table? - Bouquets
The flower shop sells roses, tulips, and daffodils. How many different bouquets of five flowers can we make? - Clothing company
A clothing company manufactures three kinds of coats. The weekly production is 400 of the first type, 370 of the second, and 230 of the third type. By long-term observation it was found that among the quality coats there are 2/3 of the first type, 7/9 of - Multiple-choice test
Students are writing a multiple-choice test with 10 questions, with answer options a), b), c), where always only one answer is correct. The teacher told them that in the test the number of correct answers is as follows: option a) 5 times, option b) 3 time - Combinatorics
In how many different ways can we seat three people on three chairs, four on four, five on five, and six on six chairs? Identify the common properties when arranging objects, from the perspective of combinatorics. Discover the principle for calculating al - Bus route network
A new bus route network was built. There are three stops on each line. In addition, every two lines either do not have a common stop or have only one common stop. What is the largest number of tracks there can be in a town if we know there are only nine d - Seven-segmet
Helen is amused that he punched a calculator (seven-segment display) number and used only digits 2 to 9. Some numbers have the property that She again gave their image in the axial or central symmetry some number. Determine the maximum number of three-dig - Cinema
How many ways can 11 free tickets to the premiere of "Jáchyme throw it in the machine" be divided between 6 pensioners? - Gabika party outfits
Gabby wants to wear pants, a blouse, a skirt, and a T-shirt to the party. She has two pairs of pants, 3 blouses, 3 skirts, and 4 T-shirts to choose from. How many parties can she attend if everyone wants to go dressed differently? - Cookie selection ways
It was Tibor's birthday, and he bought 8 different cookies for his friends (Horalky, Tatanky, Kávenky, Attack, Mila, Anita, Mäta, Lina). He put them all in a box, and each friend could choose two pieces. Tanya chose first. Which two cookies could Táňa cho - Film premiere
How can you distribute 40 cinema tickets to 15 people? - Karolína
Carolina chose five bodies from the kit - white, blue, and gray cubes, a blue cylinder, and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top? - Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements exist, such as Amy, Bob, Chl - Dance pair duration
Thirty-two boys and 34 girls came to the dance. How many different dance pairs can they make, given that each team is given: they can only dance for 1 minute and then take turns in 5 seconds? Calculate how long the dance evening would last for all the pai - Collection of medicinal plants
A pensioners' club organised a collection of medicinal plants. Two pensioners could not participate in the collection for health reasons, the others decided to collect dead-nettle, elder, and coltsfoot. All three herbs were collected by 7 pensioners, dead - Two doctors
Doctor A makes the correct diagnosis with a probability of 89% and Doctor B with a probability of 75%. Calculate the probability of a correct diagnosis if both doctors examine the patient independently. - Password
The voltage station is day changing the master password, which consists of three letters. The code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9 if - Object collection order
In the computer game, you need to collect 5 objects in the room: a sword, a ring, a picture, a key, and a coin. It depends on the order in which we collect the individual objects. If the order is wrong, we will lose a life. How many are all in order?
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