Natural numbers + combinatorial number - practice problems
Number of problems found: 55
- 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces?
- 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.
- Candy
How many ways can 10 identical candies be divided among 5 children?
- 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?
- Dishes
The HOD is to test at least three different dishes out of five before scoring the students. How many ways can he choose the dishes?
- Numbers 7755
How many digits 7 are in numbers from 1 to 777?
- Divide
How many different ways can three people divide seven pears and five apples?
- 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
- 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
- Bouquets
The flower shop sells roses, tulips, and daffodils. How many different bouquets of five flowers can we make?
- Punishment 26851
Alena, Ivana, Edo, Filip, and Martin came late to school. As a punishment, two will water flowers all over the school after class, and the other three will clean up the classroom. The class teacher couldn't decide who to send to water the flowers, so Juro
- Committee 2
How many committees consisting of 3 women and two men can be formed from a group of 6 women and five men?
- Possibilities 67094
5A students must elect a three-member class committee. However, only 6 pupils out of 30 are willing to work in it. How many possibilities do they have to create it if it does not matter what function the committee member will perform?
- 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?
- Possibilities 66804
Without listing all the possibilities, calculate how many different pairs can be made A) of 12 pupils who want to go down a water slide on a two-seater inflatable in the water park. B) of 15 pupils who want to ride toy cars in the amusement park.
- Tournament
How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the tournament's overall winner?
- Guaranteed 37611
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1.
- 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
- 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
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