Combinatorial number - practice problems - page 8 of 15
Number of problems found: 296
- Combinations and eggs
You have colored 4 red eggs, 3 green, 4 yellow, 5 blue, and 5 white. A caroler stops by you, and you decide to give him three eggs of different colors. How many options (different color combinations) do you have for gifting a caroler?
- Arithmetic 20153
The teacher has 12 examples from geometry and 15 examples from arithmetic. How many papers can he create if he wants three examples from geometry and five from arithmetic in the letter?
- Four-member 20013
Determine how many ways it is possible to form a four-member team from 6 men and four women, where there are exactly two men.
- Table and chairs
Four people should sit at a table in front of a row of 7 chairs. What is the probability that there will be no empty chairs between them if people randomly choose their place?
- Probability 18073
Determine the probability that three balls, ten red, and ten blue balls, will be drawn from 3 balls of the same color.
- Probability 17503
If we choose four numbers from 1 - 20, what is the probability that 6 or 10 will be among them?
- (four-seater) 17053
Karel wants to take some 15 classmates out of school after graduation. How many passengers does he have to choose if he has to fill the car (four-seater)?
- Probability 17023
In the draw pole, five numbers out of 35 are drawn. The third prize is paid for three guessed numbers. What is the probability of winning the third prize if we submit a ticket with one of five numbers?
- Four-element 16321
How many four-element combinations can we make from 10 elements?
- Combinations 16283
How many elements is it possible to form twice as many second-class combinations as a fourth-class combination?
- Delegation 16263
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy?
- Possible 16243
There are 30 students in the class, three of whom will be tested. How many ways are possible if their order does not matter?
- Determined 16233
How many lines are determined by 5 points if three lie in one line?
- Combinations 16213
From how many elements is it possible to create 120 second-class combinations?
- Divide
How many different ways can three people divide seven pears and five apples?
- Sick days
In Canada, there are typically 261 working days per year. There is a 4.9% chance of an employee taking a sick day. What is the probability an employee will use 17 OR MORE sick days in a year?
- Fruits
The shop sells four kinds of fruits. How many ways can we buy three pieces of fruit?
- Bouquets
The flower shop sells roses, tulips, and daffodils. How many different bouquets of five flowers can we make?
- 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?
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