Combinatorics - practice problems - page 8 of 57
Number of problems found: 1135
- Boy selection probability
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)? - Student exam probability
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? - Chocolate purchase options
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? - State name possibilities
If residents of MISSISSIPPI state have to use all the letters to choose their country's name, how many possibilities do they have? - Five-digit number creation
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? - Student exam selection
V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam? - Candidate selection ways
Out of 10 candidates, we must select three for the commission. How many ways can this be done? - Slalom finalist options
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? - Service specification ways
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? - Card drawing ways
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter? - Five-digit number creation
How many different five-digit numbers can we create from digits 4 and 5? - Fountain work possibilities
There are seven fountains in the city. Only five always work. How many possibilities do five fountains work at the same time? - Cart content options
We put seven different things out of fifteen various goods in the shopping cart. How many cart content options occur? - Trip selection options
As a reward, the trip's land is ten students from a class of 25 students. How many options are there? - Books - triplets
I will choose three from ten different books. How many different triplets can I choose? - Seedbeds
The father wants to plant two seedbeds of carrots and two seedbeds of onion. Use a tree chart to find how many different options he has for placing the seedbeds.
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