Combinatorics - practice problems - page 7 of 50
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: 993
- Selected 26381
Seven people need to be selected from the sports club, where 11 men and nine women. How many ways can we do this if seven women are on the team? - Probability 22033
There are 30 broken-down packages with 2,000 light bulbs. What is the probability that a randomly selected light bulb is defective? - School club
Six boys and nine girls and a teacher played in the school club. What probability will they point at the boy when they play the counting game? - Chess competition
Four chess players took part in the competition. How many matches have taken place if every chess player has played with everyone just once? - Probability 18073
Determine the probability that three balls, ten red, and ten blue balls, will be drawn from 3 balls of the same color. - (four-seater) 17053
Karel wants to take some 15 classmates out of school after graduation. How many passengers does he have to choose if he has to fill the car (four-seater)? - Probability 17023
In the draw pole, five numbers out of 35 are drawn. The third prize is paid for three guessed numbers. What is the probability of winning the third prize if we submit a ticket with one of five numbers? - Three-digit 16763
Ferko received a briefcase with an adjustable three-digit code for his birthday. How many options do you have to set the code if you like a number with two sevens? - Four-digit 16463
How many can we create four-digit numbers that digits can repeat from digits 0,1,2,3,…, 9? - Four-element 16321
How many four-element combinations can we make from 10 elements? - Delegation 16263
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy? - Possible 16243
There are 30 students in the class, three of whom will be tested. How many ways are possible if their order does not matter? - Probability 13973
There are three types of pinwheels on the tray, two caramel, four coffee, and one vanilla. Jurko chose one dessert. What is the probability that he decided on a coffee pinwheel? - Balls
From the bag with numbered balls (numbers 1,2,3,. ..20), we pick one ball. What is the probability of choosing a number containing 1? - Probability 8801
We roll two different dice. What is the probability that a pair of even numbers will fall? - Today in school
There are nine girls and 11 boys in the class today. What is the probability that Suzan will go to the board today? - Opportunities 8372
There are 20 students in the class, four of them are being tested by the teacher. How many options are there to choose who the teacher will test? - Telephone numbers
How many 7-digit telephone numbers can we put together so that each number consists of different digits? - Probability 8244
There are chips in the bag with numbers from 1 to 25. What is the probability of choosing a number with a digit sum of 6? - Menu
On the menu are 12 kinds of meals. How many ways can we choose four different meals for the daily menu?
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