Combinatorics - math word problems - page 13 of 52
Number of problems found: 1029
- Class pairs
In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) can we create? By what formula?
- PIN - codes
How many five-digit PIN - codes can we create using the even numbers?
- Probability 1775
The company has produced 500,000 cars so far, of which 5,000 were defective. What is the probability that at most one car out of 50 cars in daily production will be defective?
- Decides
Decide by calculation how many candidates out of a total of 1000 candidates for the position of CEO meet the eligibility requirements for the desired performance of this top management position with at least 67% probability - provided, of course, that the
- Three digits number 2
Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one position is one of the numbers 1,3,4, on the place of hundreds 4 or 2.
- One green
There are 45 white and 15 green balls in the container. We randomly select five balls. What is the probability that there will be one green ball maximally?
- Balls
The urn is eight white and six black balls. We pull four random balls. What is the probability that among them will be two white?
- Variations
Find the number of items when the count of variations of the fourth class without repeating is 42 times larger than the count of variations of the third class without repetition.
- Fish tank
A fish tank at a pet store has 27 zebrafish. In how many different ways can George choose 2 zebra fish to buy?
- Task of the year
Find the number of integers from 1 to 106 with ending four digits 2015.
- Combinatorics
The city has 7 fountains. Works only 6. How many options are there that can squirt?
- Trinity
How many different triads can be selected from group 38 students?
- Medals
How many ways can gold, silver, and bronze medals be divided among 21 contestants?
- Weekly service
There are 20 pupils in the class. How many opportunities has the teacher randomly selected for two pupils to have a week-class service?
- Components
The 8 white, 4 blue, and 2 red components are in the box. What is the probability that we pull one white, one blue, and one red component without returning it?
- Pizza
A school survey found that 10 out of 15 students like pizza. If 5 students are chosen randomly, what is the probability that all 5 students like pizza?
- Calculation of CN
Calculate: (486 choose 159) - (486 choose 327)
- Examination
The class is 25 students. How many ways can we choose 5 students for examination?
- Teams
How many ways can we divide 14 players into two teams of 7 members?
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