Combinatorics - practice problems - page 8 of 55
Number of problems found: 1085
- Chocolate purchase options
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? - State name possibilities
If residents of MISSISSIPPI state have to use all the letters to choose their country's name, how many possibilities do they have? - Five-digit number creation
How many 5-digit numbers can we assemble from the numbers 2,3,4,5,6,7,8,9 if each digit can be repeated only once? - Student exam selection
V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam? - Candidate selection ways
Out of 10 candidates, we must select three for the commission. How many ways can this be done? - Slalom finalist options
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? - Service specification ways
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? - Card drawing ways
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter? - Five-digit number creation
How many different five-digit numbers can we create from digits 4 and 5? - Fountain work possibilities
There are seven fountains in the city. Only five always work. How many possibilities do five fountains work at the same time? - Cart content options
We put seven different things out of fifteen various goods in the shopping cart. How many cart content options occur? - Trip selection options As a reward, the trip's land is ten students from a class of 25 students. How many options are there?
- Books - triplets
I will choose three from ten different books. How many different triplets can I choose? - Seedbeds
The father wants to plant two seedbeds of carrots and two seedbeds of onion. Use a tree chart to find how many different options he has for placing the seedbeds. - 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 - Train wagon assembly
There are six tank cars, eight open and 12 closed wagons at the station. How many different trainsets can be assembled from them? - Sequentially pick
There are 6 different tickets marked with numbers 1 to 6 in the pocket. In how many different ways can we sequentially, taking into account the order, choose three of them, if the chosen tickets return to the pocket?
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