Combinatorics - practice problems - page 5 of 50
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: 994
- Chocolates 38751
Jane wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does she have? - Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup? - Possibilities 38143
How many possibilities have residents of MISSISSIPPI state to choose their country's name if they have to use all the letters? - Repeated 38103
How many 5-digit numbers can we assemble from the number 2,3,4,5,6,7,8,9 if the digit in each number can be repeated only once? - Selected 37601
V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam? - Commission 37591
Out of 10 candidates, we must select three for the commission. How many ways can this be done? - Thirteen 37581
Thirteen skiers compete in the big slalom. The first four advance to the finals. How many options are there? - The six
The six boys will be led up the hill by a two-seater lift. How many options are there? - Different 37541
There are 15 boys and 20 girls in the brigade. How many different services can be specified if one girl and two boys are on the service? - Doesn't 37531
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter? - Qualifying 37483
There are five good teams in the qualifying group for the World Cup. How many different orders can occur? - Five-digit 37121
How many different five-digit numbers can we create from digits 4 and 5? - Possibilities 36911
There are seven fountains in the city. Only five always work. How many possibilities do five fountains work at the same time? - Different 36891
We put seven different things out of fifteen various goods in the shopping cart. How many cart content options occur? - Students 36881
As a reward, the land for the trip is ten students from a class of 25 students. How many options are there? - Different 36871
I will choose three from ten different books. How many different triplets can I choose? - Seedbeds
The father wants to plant two seedbeds of carrot and two seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has. - Honored students
Of the 25 students in the class, ten are honored. How many ways can we choose five students from them if there are to be exactly two honors between them? - School parliament
There are 18 boys and 14 girls in the class. In how many ways can three representatives be elected to the school parliament if these are to be: a) the boys themselves b) one boy and two girls - Trainsets 35801
There are six tank cars, eight open and 12 closed wagons at the station. How many different trainsets can be assembled from them?
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