Combinatorics - math word problems - page 37 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: 1005
- Squares above sides
In a right triangle, the areas of the squares above its sides are 169, 25, and 144. The length of its longer leg is: - Probability 68564
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll? - Third-class 8334
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain? - Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements?
- Year-on-year 39353
The company's turnover for the period 2011-2013 increased by 3.7%. From 2013 to 2019, an average year-on-year decrease in turnover of 5% was recorded. What is the total relative change in turnover from 2013 to 2019? - Vice-chairman 10181
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman? - Participated 7448
In the survey, 2/3 of those who correctly answered the question were women. 4/5 of all respondents answered the question correctly. How many women answered correctly if a total of 900 respondents participated in the survey? What proportion of all responde - Information 2704
The table contains information on the number of pupils according to the number of siblings: Number of siblings 0 1 2 3 and more Number of pupils 50 50 72 28 What is the probability that a randomly selected student has exactly two siblings? - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
- Probability 42081
What is the probability of any two-digit natural number a) is divisible by seven, b) is divisible by nine, c) is not divisible by five. - Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat? - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Friends in cinema
5 friends went to the cinema. How many possible ways can they sit in a row if one of them wants to sit in the middle and the remaining place does not matter? - Insurance
The house owner is insured against natural disasters and pays 0.04% annually of the value of the house 76 Eur. Calculate the value of the house. Calculate the probability of disaster if you know that 41% of the insurance is to pay damages.
- Five number code
I have a five-digit code on the bag that I forgot. I remember that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code. - Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - Calculated 19363
Peter calculated how many placement options there were with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution. - Consecutively numbers
How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)? - Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip
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