Combinatorial number + reason - practice problems - page 3 of 6
Number of problems found: 112
- Different 25431
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud - Manufacturer 24801
With a repeat check, five hundred of the series of products are to be inspected. The manufacturer guarantees 2% scrap for a given production. Determine the probability of scraps among the 500 products reviewed between 12 and 20. - 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 chair between them if people choose their place entirely randomly? - Probability 17503
We choose four numbers from numbers 1 - 20. What probability will the numbers 6 or 10 be among them? - Determined 16233
How many lines are determined by 5 points if three lie in one line?
- Divide
How many different ways can three people divide seven pears and five apples? - Fruits
The shop sells four kinds of fruits. How many ways can we buy three pieces of fruit? - Bouquets
In the flower shop, they sell roses, tulips, and daffodils. How many different bouquets of 5 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? - Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock?
- Two groups
The group of 10 girls should be divided into two groups with at least four girls in each group. How many ways can this be done? - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - Records
Records indicate 90% error-free. If eight records are randomly selected, what is the probability that at least two records have no errors? - Probability 8408
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen? - Probability 7991
We have the numbers 4, 6, 9, 13, and 15. What is the probability that these will be the lengths of the sides of the triangle? (Consider only scalene triangles.)
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