Combinatorics - math word problems - page 24 of 51
Combinatorics is a part of mathematics that investigates the questions of existence, creation and enumeration (determining the number) of configurations.It deals with two basic tasks:
How many ways can we select certain objects
How many ways can we arrange certain objects
Number of problems found: 1006
- Bureau of Labor
Bureau of Labor is a state institution that provides mike and the rest for their so-called clients. The mission of the Bureau of Labor is to spend taxpayer money to provide relaxation and benefits to those who do not want to work. Popularly speaking, the - Married 83309
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? - Disappointed 47411
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? - Defective 35831
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?
- Different 4533
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. - Fourland 3542
In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them. - A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people - Glass with icecream
We have six kinds of ice cream and five kinds of fruit. We put 3 cups of ice cream and two fruits into each glass. How many can unique decorated glasses be? - Digits
How many natural numbers greater than 4000 are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many will the number of natural numbers be less than 4000, and can the numbers be repeated?
- Combinations of sweaters
I have four sweaters, two are white, one red and one green. How many ways can you sort it out? - Throw
We throw two times with two dice. What is the probability that the first roll will fall more than the sum of 9 and the second throw has a sum of 3 or does not have the sum of 4? - Candies
In the box are 12 candies that look the same. Three are filled with nougat, five with nuts, and four with cream. How many sweets must Ivan choose to satisfy itself that the selection of two with the same filling? ... - Discovered 82210
At the dance party, the organizer discovered that 168 different dance pairs could be formed from girls and boys. How many boys are there at the dance if there are 12 girls? - Chessboard 80533
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?
- 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? - Successfully 19843
The drug successfully treats the disease in 96% of cases. Your doctor will treat 50 patients with this medicine. What number of cures is most likely? - Balls 8358
We have five red, four blue, and seven white balls in the bag. At least how many balls do we have to pull out to have at least one white ball on the table? - Sitting 6612
Seven boys are sitting next to each other in the cinema. How many ways can they sit on the seats if the boys want to sit next to each other? - Repetition 80362
How many six-digit numbers without repetition can be formed from the digits 1, 2, 3, 4, 5, and 6, if the numbers are, to begin with: a) the digit 4; b) digits 4 or 5?
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