Combinatorics - practice problems - page 8 of 52
Number of problems found: 1029
- 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 trip's land 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 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
- 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? - Sequentially 35731
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? - Two prizes
Teacher Mae is giving away a random prize to a class of 15 pupils (7 boys and eight girls). What is the probability that girls will win both prizes? - Different 35501 Dana received four new books. How many different orders can she read them?
- Interpretation 35461
The arranger should line up two identical white sweaters, two identical green sweaters, and one blue sweater in the shop window. How many possible ways can the interpretation be adjusted?
- Committee 35431
There are 24 students in the class. How many ways can we select a class committee? Where are the chairman, treasurer, and bulletin board? - 3-digit 35271 How many 3-digit numbers can be created from the digits 1, 2, 3, 4, 5, and 6 if we must not repeat the digits?
- Five-digit 35261 How many five-digit numbers do we create from digits 1, 2, and 3?
- T-shirts 34951 How many ways can I dress in the morning if I can choose from 10 T-shirts, eight shirts and nine pants? I wear pants plus a T-shirt or pants plus a shirt.
- Probability 34801
Last year, it rained 12 days in March. What is the probability that it rained on March 20?
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