Combinatorics - practice problems - page 9 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
- Probability 5786
There are 200 tickets in the raffle with one main prize. Miško bought 25 tickets. What is the probability that Miško will not win the main prize? - Probability 5785
There are 1 to 20 start numbers in the draw. What is the probability that the first downhill raffle will draw a start number less than 6? - Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with the other? - Inscription: 5099
We roll the dice five times. Inscription: A) 3 events that definitely cannot happen. Write a reason for each. B) 3 events that will definitely happen. Write a reason for each. C) 3 events that may or may not occur. Write a reason for each. - Distribution 5016
You have a test with eight questions, where you can choose from 3 answers for each question, and one answer is always correct. The probability that we answer 5 or 6 questions correctly when randomly filling in (that is, we all guess the answers) is ……. Th - Cards
From a set of 32 cards, we randomly pull out three cards. What is the probability that it will be seven kings and an ace? - Combinations 4762
Please calculate the possibility of combining three numbers, where each number can be from 0 to 9. For example, the number of combinations on the suitcase is equipped with close to three digits. - Three-digit 4698
The five cards with the numbers 1, 2, 3, 4, and 5 put together all three-digit odd numbers. How many are there? - Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull - Four-digit 3912
Create all four-digit numbers from digits 1,2,3,4,5, which can repeat. How many are there? - Probability 3891
Michal chose blue, white, red, orange, black, and brown shorts. What is the probability that he will select blue shorts? - First man
What is the likelihood of a random event where are five men and seven women will first leave the man? - Probability 3813
Natalia went to the closet to pick out Daniel's briefs. Daniel has one piece of white briefs and one piece of black briefs in the closet. What is the probability that Natalie will take off his white briefs? - Tokens
The non-transparent bags are red, white, yellow, and blue tokens. We 3times pulled one token and again returned it, writing down all possibilities. - White and black balls
There are seven white and three black balls in an opaque pocket. The balls are the same size. a) Randomly pull out one ball. What is the probability that it will be white? We pull out one ball, see its color, and return it to the pocket. Then we pull out - Ice cream
Annie likes ice cream. In the shop are six kinds of ice cream. How many ways can she buy ice cream in three scoops if each has a different flavor mound and the order of scoops doesn't matter? - Options 3572
We roll three dice. Write down all the feast options. - Themselves 3463
How many different ways can members of a 7-member philatelic circle elect a secretary and a steward from among themselves? - Together 3331
The group has 12 red girls and 25 blue girls in costumes. How many of them can we put together a group of 6 girls so that the four girls have red outfits? - Probability 3296
The storm broke the telephone cable connecting places A and B at 2.5 km. What is the probability that this happened at a maximum length of 450 m from location A?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.