Combinatorics - math word problems - page 24 of 55
Number of problems found: 1085
- Competition Prize Places
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition? - Family trip
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice. - Five letters
How many ways can five letters be arranged? - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - Tournament placement ways
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? - Drug cure probability
The drug successfully treats the disease in 96% of cases. Your doctor will treat 50 patients with this medicine. What number of cures is most likely? - Five-Digit Numbers Adjacent Digits
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. - Menu choices
The dining room offers three types of soups and four types of main courses. How many ways can we choose soup and the main course? - Numbered
In the past, passengers in public transport vehicles marked such single-use tickets, which had 9 numbered boxes, a certain number of which were punched with a marker. A) In how many different ways could the ticket be marked if 3 boxes were punched? B) How - Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient. - Probability of Encyclopedia
The shelf contains 27 atlases, 29 dictionaries, eight textbooks, and 16 encyclopedias. What is the probability that a randomly selected book from this shelf is an encyclopedia? Give the result as a percentage. - Mobile phone settings
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? - Black car probability
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 - Ticket selection ways
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? - One dice
Calculate the probability of one dice roll with the numbers 1, 2, 3, 4, 5, and 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An e - Light bulbs
You are in a room with 3 switches. In the next room, there are 3 switched off classic light bulbs in table lamps, each switch belongs to a light bulb. You cannot see from one room to the other. How do you find out which switch belongs to which light bulb - Twelve flowers
A florist has roses, tulips, daffodils, and carnations to use in flower arrangements. If she were to make an arrangement using 12 flowers, how many different combinations of these four types of flowers would be possible? - Weekly student selection
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? - Volleyball Tournament Ranking
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? - Four-Digit PIN Codes
How many 4-digit numeric pin codes can be created so that not all four digits are identical?
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