Combinatorics - math word problems - page 26 of 55
Number of problems found: 1085
- Candy flavors
A bag contains 20 candies in five different flavors: cherry, lemon, orange, mango, and cola. We know that there is at least one of each flavor in the pocket and that there are twice as many lemons as cherry ones. How many ways can different flavors be rep - Goal divisions
School players scored seven goals in the match. List all possible goal divisions into three-thirds and add up how many. - Footballers 2
Footballers have jerseys with numbers 7, 8, 9, 10, 11. The coach wants to send them to attack a) so that even jersey numbers are not next to each other b) so that odd jersey numbers are not next to each other. How many options does he have? - Glass with icecream
We have six kinds of ice cream and five kinds of fruit. If we put three cups of ice cream and two fruits into each glass, how many uniquely decorated glasses can there be? - Divide
How many different ways can three people divide seven pears and five apples? - Bottle defect proportion
The enamel for the production of bottles contains defects. The average number of caries is 15 per 100 kg. The bottle weighs 1 kg. What is the proportion of defective bottles? - Race second probability
Five competitors took part in the race. Jaro was disappointed that he didn't win. Before announcing second place, he calculated the probability of finishing second. What number did he get if he counted correctly? - Product selection ways
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? - Three-digit palindrome count
How many three-digit numbers do not change if we replace the digit in the hundreds with the digit in the units? - Number pairs
Five different positive numbers are written on the board. Determine the largest possible number of pairs formed from them in which the sum of the two elements equals one of the five numbers written on the board. - Chessboard square selection
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column? - A committee
A committee of 6 is chosen from 8 men and 7 women. If a particular man must be included, find how many committees are possible. - Probability of picking
There are 5 chocolate, 3 cottage cheese, and 2 apricot croissants in the bag. Croissants are randomly selected in bags. What is the probability of drawing 1 chocolate, 1 cheese, and 1 apricot croissant without returning? - Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - Strawberry candy selection
The opaque package contains five lemons, six apples, and three strawberry candies. At least how many sweets do we have to choose so that there is at least one strawberry among them? - Dice color probability
In an opaque box, identical cubes of different colors: 15 are red, 8 are blue, and 7 are green. We successively drew 10 red, 4 blue, and 3 green dice. What is the probability that we draw a red die from the remaining dice in the next roll? - Natural number creation
How many natural numbers can you make from the digits in 4052? No digit may be repeated in the number entry. Sort the numbers in ascending order of size. - Balls Color Probability Minimum
The bag has five red, four blue, and seven white balls. At least how many balls do we have to pull out to have at least one white ball on the table? - Timetable ways
The school teaches 12 different subjects, and each subject is taught for no more than an hour a day. How many ways can the timetable be made for one day if 5 different subjects are taught that day? - Down syndrome
Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille.
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