Combinatorics - math word problems - page 25 of 54
Number of problems found: 1080
- Triangles - combinations
How many different triangles with sides in whole centimeters have a perimeter of 12 cm? - 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 - Modifications 7479
The Numerometer has invented as the number machine that changes numbers until it makes them single-digit numbers. He still makes the change according to the same rule. For example: from the number 87312, after six modifications, he gradually made the numb - Twins with friend
The twins Danka and Janka went to the cinema with their friend Betka. Only six seats in the second row were available in the cinema. The twins want to sit next to each other. Danka is always to the right of Janka, and Betka is near one of them. How many m - Sitting 6612 Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other?
- Ružomberok 6070
The tourist group wanted to visit the four Slovak cities: Bratislava, Banská Bystrica, Ružomberok, and Levice. They decided that Levice would be the third place they would visit. How many different ways could they organize their city visit program? - 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 - Relay
The relay race will be run for the class of Katka, Alice, Michaela, and Erika. Determine how many different orders there are in which the girls can run, as long as each of them can run in any position. - A committee
A committee of 6 is chosen from 8 men and 7 women. If a particular man must be included, find how many committees are possible. - Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud - 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? - 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? - Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition? - Dining 5004
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? - A license
A license plate has
three letters followed by four numbers. Repeats are not allowed for the letters, but they are for the numbers. If they are issued at random, what is the probability that the three letters are in alphabetical order and the three number - 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? - Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts? - 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. - 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?
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