Permutations - practice problems - page 3 of 13
Number of problems found: 242
- Indistinguishable 74294
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?
- Competition 73174
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
- Parking 72644
How many ways can ten cars park side by side in a parking lot?
- Numbers 72404
How many numbers are less than 200, the digit sum of which is 6?
- Probability 72324
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?
- Three-digit 72184
How many three-digit numbers can be created from the numbers 1, 2, 3, and 4 if you can repeat them?
- Identical 71234
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka?
- Assemble 70414
How many ways can we assemble five wagons when sand is in three wagons and cement in two?
- Distribute 70244
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
- Together 70124
Twins Ela and Nela 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 Nela always to Ela's left and Hel right next to on
- Altogether 69994
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
- Classical 69634
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?
- Michalovci 69494
How many different courses could the match between AC Michalovci and Juvent Turiec have, which ended 2:1?
- Competition 69474
Ten girls and seven boys are in the dance group. Only one mixed couple is to go to the competition. How many possible pairs can we choose from?
- Arrangements 68764
We have two identical blue balls and two identical red balls. We arrange them in a row in all ways. How many different arrangements are there?
- Probability 68594
What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five?
- Divisible 67434
The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li
- Constructed 67424
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options.
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