Combinatorics - math word problems - page 38 of 54
Number of problems found: 1077
- Chess pieces
The box contains five black chess pieces. How many white pieces should we add to it so that the probability of pulling out a black piece is 1:4?
- Four-digit 82023
How many four-digit numbers are there in which there are at least three eights
- Probability 81678
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers?
- Probability 81446
What is the probability that each digit is different in a five-digit number?
- Parking 72644
How many ways can ten cars park side by side in a parking lot?
- Simultaneously 80392
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice.
- Two-element combinations
Write all two-element combinations from elements a, b, c, and d.
- Five-digit 80104
How many different five-digit numbers with different digits can be made from the digits 0, 2, 4, 6, 7, 8, and 9? How many of them are divisible by 4? How many of them are divisible by 10? How many of them are even?
- Probability 6761
Jano created 2-digit numbers from the cards 2, 4, 5, 9, and 2. What probability will a randomly generated number be odd?
- Four digit codes
Given the digits 0-7. If repetition is not allowed, how many four-digit codes greater than 2000 and divisible by 4 are possible?
- Numbers 72404
How many numbers are less than 200, the digit sum of which is 6?
- Designated 64234
Marenka is required to read three books out of five designated books. How many ways can three books choose to be read?
- Probability - triangles
We have five lines with lengths of 3cm, 5cm, 7cm, 9cm, and 11cm. What is the probability that we will be able to construct a triangle with randomly selected three?
- Seating rules
In a class, there are 24 seats, but in the 7.B class, there are only 18 students. How many ways can students sit? (The class has 12 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10.
- Ingredients 14743
Anna prepares for breakfast - buckwheat or millet porridge with one of three fruits flavored with honey or cocoa. How many different types of breakfast can you prepare from the listed ingredients?
- 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
- Ways
There are five roads from village A to village B, two roads from village B to village C, and only one road directly from village A to village C. In how many different ways can you get there: A) from village A to village C via village B? B) anyway from vil
- Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box?
- Four-letter 67124
How many different four-letter words can we create from the letters of the word JAMA?
- Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
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