Combinatorics - math word problems - page 12 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: 1002
- Roll the dice
What is the probability that if we roll the dice, a number less than five falls? - Olympics metals
How many ways can one win six athletes' medal positions in the Olympics? Metal color matters. - Probability 2955
There are 18 girls and 13 boys in the class. Four pupils will be chosen by lot to supervise the breaks. What is the probability that it will be the boys themselves? - Volleyball
Eight girls want to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of these girls may be trainers to choose from?
- Football team
The football team has black, purple, and orange shirts, blue and white shorts, and striped and gray socks. How many different outfits may players start? - Disco
At the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples? - Division
The division has 18 members: 10 girls, six boys, and two leaders. How many different patrols can be created if one patrol is two boys, three girls, and one leader? - Password dalibor
Kamila wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes these two changes. How many opportunities do you have a choice? - Class pairs
In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) can we create? By what formula?
- PIN - codes
How many five-digit PIN - codes can we create using the even numbers? - Probability 1775
The company has so far produced 500,000 cars, of which 5,000 were defective. What is the probability that at most one car out of daily production of 50 cars will be defective? - Decides
Decide by calculation how many candidates out of a total of 1000 candidates for the position of CEO meet the eligibility requirements for the desired performance of this top management position with at least 67% probability - provided, of course, that the - Three digits number 2
Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one position is one of the numbers 1,3,4, on the place of hundreds 4 or 2. - One green
In the container are 45 white and 15 green balls. We randomly select five balls. What is the probability that there will be one green ball maximally?
- Balls
The urn is eight white and six black balls. We pull four random balls. What is the probability that among them will be two white? - Variations
Find the number of items when the count of variations of the fourth class without repeating is 42 times larger than the count of variations of the third class without repetition. - Fish tank
A fish tank at a pet store has 27 zebrafish. In how many different ways can George choose 2 zebra fish to buy? - Task of the year
Find the number of integers from 1 to 106 with ending four digits 2015. - Combinatorics
The city has 7 fountains. Works only 6. How many options are there that can squirt?
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