K-permutations - practice problems - page 4 of 15
Number of problems found: 292
- Six segmants
Given are 6 line segments with lengths of 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm. How many equilateral triangles can make from them? List all the options. - Four digit codes
Given the digits 0-7. If repetition is not allowed, how many four-digit codes greater than 2000 and divisible by 4 are possible? - Compartment ball options
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have? - Seven segments display
Electronic devices sometimes use the type of digits below, where each digit uses some short stripes. For example, seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes? - Four numbers
I am a four-digit number, no zeros, in which the first number is five times the last, the second is four more than the first and three times the third, and the third is two more than the last and two less than the first. - Competition in the class
There are 10 students in the class, of which 8 are girls and two are boys. We want to select three for the competition. What is the probability that they will be: a) 2 girls and 1 boy b) 1 girl and 2 boys c) 3 girls d) 3 boys e) at least 2 girls - Four-digit number creation
How many four-digit numbers can we assemble from the digits 2, 6, 3, 5, 1, and 9 if the numerals in the number cannot be repeated? - Shirt short combinations
Dustin has 8 T-shirts and three pairs of shorts in his closet. How many ways can he dress for school? - Car parking ways
How many ways can ten cars park side by side in a parking lot? - Number digit sum
How many numbers are less than 200, the digit sum of which is 6? - PIN code probability
When entering the PIN code, we used the digits 2, 3, 4, 5, and 7 only once. What is the probability that someone will guess our PIN code on the first try? - Group placement ways
I have eight groups. How could they place first, second, and third? - Three-digit number creation
How many three-digit numbers can be created from the numbers 1, 2, 3, and 4 if you can repeat them? - Apple pear division
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Jane and Gretel? - Wagon assembly ways
How many ways can we assemble five wagons when sand is in three wagons and cement in two? - Safe key locks
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All - Twin cinema seating
Twins Ela and Nell came to the cinema together with their friend Hela. Only the first 10 seats in the third row are free. How many ways can they be seated if the twins want to sit next to each other, with Nell always to Ela's left and Hel right next to on - Squash tournament matches
Twelve players signed up for the squash tournament. Based on the lottery, they formed pairs, and in the first round, each pair played one match. The winners advanced to the second round, where they played each other one game at a time. How many matches we - Concert seating ways
Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John? - Match course possibilities
How many different courses could the match between AC Michalovce and Juventus Turiec have had, which ended 2:1?
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