Combinatorics - practice problems - page 7 of 52
Number of problems found: 1029
- Sapphires 45461
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have?
- Contained 45451
How many natural numbers can you make from the digits contained in the number 4002? No digit may be repeated in the number entry. However, not all digits must be used. Sort the numbers in ascending order of size.
- Travelogues 45401
Martina borrowed three novels and two travelogues from the library. He will read the travelogues first. How many ways can he read the books?
- Contains 45031
How many cars can we mark with signs that only use the letters A, B, and the number 1,2? The tag contains two letters and three digits.
- Fruits
We want to plant five fruit trees in the garden, of which three are apple trees and two pears. How many different ways can we organize them?
- Probability 43581
What is the probability that the sum of 12 will fall on a roll of two dice? A. 1/6 B. 1/36 C. 1/18 D. 36
- Probability 41071
Six boys and nine girls played in the school group. What probability will they point to the boy when they are reproached?
- Binary words
How many 10-bit words can be created with precisely four units (e.g., 1111000000)?
- Probability 40131
There are 28 students in the IK3 class. Three pupils will be examined. Nineteen pupils are ready for the exam. What is the probability that all three will be unprepared?
- The gems
The jeweler selects four gems for the ring: rubies, emeralds, and sapphires. How many options does he have?
- Chocolates 38751
Jane wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does she have?
- Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup?
- Possibilities 38143
If residents of MISSISSIPPI state have to use all the letters to choose their country's name, how many possibilities do they have?
- Repeated 38103
How many 5-digit numbers can we assemble from the numbers 2,3,4,5,6,7,8,9 if each digit can be repeated only once?
- Selected 37601
V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam?
- Commission 37591
Out of 10 candidates, we must select three for the commission. How many ways can this be done?
- Thirteen 37581
Thirteen skiers compete in the big slalom. The first four advance to the finals. How many options are there?
- The six
The six boys will be led up the hill by a two-seater lift. How many options are there?
- 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?
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