Combinatorics - practice problems - page 7 of 55
Number of problems found: 1085
- Basketball team options
The basketball team consists of five players. Determine how many options his coach has to build a team if he has 12 players. - Right key
The hostel has 4 rooms. The keys to each room are not numbered. Each of the four guests took one key. What is the probability that everyone took the right key? - School acceptance probability
Eva and 199 other students took part in job interviews at the Dream School, which accepts only the 120 most successful students. What is the probability of its acceptance? - In PE
In PE, students play a game where they do different exercises depending on the color of the marble that Coach Forbes draws. Coach Forbes has a jar with 6 red marbles, 12 blue marbles, 16 purple marbles, 2 green marbles, and four yellow marbles. What is th - Pants shirt combinations
He has four types of pants. How many T-shirts does he have if he can dress 40 different ways? - A box A box contains 6 red, 5 blue, and 4 white balls. Find the probability of drawing a) a red ball and b) a non-white ball.
- ID tag
How many three-digit ID-tag can be made if: a) a digit cannot be used more than once b) the 1st digit must be five, and repetition of the others is not permitted. - Tic-tac-toe
In how many ways could 9 participants of the school round of five-in-a-row win the first three places? - Permutation exclusion problem
I want to find the number of permutations of the set M6 if not one element is in that position as in the original input (1 2 3 4 5 6). So I have to exclude numbers with 1 in 1st place, 2 in 2nd place, and 3 in 3rd place. - Double six-six
What is the probability that a player in the games of ludo will throw a double six twice? - Gem selection choices
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have? - Natural number creation
How many natural numbers can you make from the digits contained in the number 4002? No digit may be repeated in the number entry. However, not all digits must be used. Sort the numbers in ascending order of size. - Book reading ways
Martina borrowed three novels and two travelogues from the library. He will read the travelogues first. How many ways can he read the books? - Car sign
How many cars can we mark with signs that only use the letters A, B, and the number 1,2? The tag contains two letters and three digits. - Fruits
We want to plant five fruit trees in the garden, of which three are apple trees and two pears. How many different ways can we organize them? - Dice sum probability What is the probability that the sum of 12 will fall on a roll of two dice? A. 1/6 B. 1/36 C. 1/18 D. 36
- 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?
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