Combinatorics - practice problems - page 6 of 57
Number of problems found: 1135
- Tournament game count
Five children took part in the five-a-side tournament: Annie, Betty, Celeste, Dan, and Eric. Everyone played with everyone. How many games have been played? - Team creation options
The teacher wants to create one three-member team from four girls and four boys, with one girl and two boys on the team. How many different ways can the teacher form the team? - Ball selection options
We have six balls of different colors. We select two balls at once. How many options? - Dress color probability
Anna has four different colored pullovers and three different colored skirts. What is the probability that she will have a red pullover and a blue skirt in a random dress if we know that she has them in her wardrobe? - Exam question probability
The teacher has 20 questions, from which the student chooses two on the exam. The student learned 10 questions well, 6 partially, and 4 not at all. What is the probability that he will get both questions he knows well? - Ice cream combinations
The contestants have to create an ice cream sundae containing three different types of ice cream. They can use cocoa, yogurt, vanilla, hazelnut, punch, lemon and blueberry ice cream. How many different ice cream sundaes can the contestants create? - Committee election possibilities
5 A students must elect a three-member class committee. However, only 6 pupils out of 30 are willing to work in it. How many possibilities do they have to create it if it does not matter what function the committee member will perform? - Fruit cocktail combinations
Klára wants to make a fruit cocktail using three types of fruit: pineapple, pears, bananas, raspberries, and cherries. How many different cocktails can he create? - Book selection ways
Mary is required to read three books out of five designated books. How many ways can three books choose to be read? - Combinations equation
C(2, 8) + C(3, 4) = - 6 married
Six married couples are in a room. If two people are chosen at random. Find the probability that; a). they are married. b). one is male, and one is female. - Jane mark count Jane received three different marks (1-5) during the day. How many marks did she receive? A) 6 B) 8 C) 10 D) 12
- Three digit from four digits
How many three-digit numbers can you make using the digits 4,6,7 and 9? - Four-digit number digits
Please find out how many different four-digit numbers we can create from the digits 3 and 8 so that the two digits three and two digits eight are used in each four-digit number created. - Two-digit same digits
What probability does a randomly drawn two-digit number have the same digits? Write the result as a decimal number. - Sons
The father has six sons and ten identical, indistinguishable balls. How many ways can he give the balls to his sons if everyone gets at least one? - Probability RGB The bag has six red, five green, eight blue, and 11 yellow balls. What is the probability that we will pull out a green ball?
- Three-digit number How many three-digit natural numbers can we form from the digits 0, 1, and 2 if the numerals can be repeated in these numbers?
- Blouse skirt combinations Jana has three blouses, red, blue, and white, and three skirts, blue, black, and brown. In how many days will all combinations of blouses and skirts change?
- Dice snake colors
Hansel has 4 identical yellow blocks and 3 identical blue blocks. How many different coloured sequences (snakes) can he make with them?
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