Natural numbers + combinatorial number - practice problems - page 2 of 3
Number of problems found: 53
- 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? - Each with each
Five pupils from 3A class played table tennis. How many matches did they play with each other? - The three
The three boys, Adam, Boris, and Cyril, will be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away? - Defective 35831
Among the 24 products, seven are defective. How many ways can we choose to check a) 7 products so that they are all good b) 7 products so that they are all defective c) 3 good and two defective products?
- A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people - Probability 3349
We have natural numbers 3, 4, 6, 10, and 12. Calculate the probability that the sum of three randomly selected three different numbers is less than 20. - Different 25431
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - Probability 3065
Natural numbers 4,5,7,11,12 are given. Calculate the probability of the event that the sum of randomly selected three different numbers is less than 22. - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
- Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts? - Three numbers
We have three different non-zero digits. We will create all three digits numbers from them to use all three figures in each. We add all the made numbers and get the sum of 1554. What were the numbers? - Different 57811
How many different 6-member teams can be made up of seven boys and four girls if there are two or four girls in the team? - 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. - Seedbeds
The father wants to plant two seedbeds of carrot and two seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has.
- Different 37541
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? - Five-digit numbers
How many different five-digit numbers can be created from the number 2,3,5 if the number 2 appears in the number twice and the number 5 also twice? - (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)? - Sapphires 45461
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have? - 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?
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