Combinatorics - math word problems - page 43 of 54
Number of problems found: 1080
- Kids
How many different ways can sit 6 boys and 3 girls in line if girls want to sit on the edge?
- Twenty
Twenty swallows sit on a 10 m long telephone cable. Assume that swallows are completely randomly distributed along the line. (a) What is the probability that more than three swallows sit on a randomly selected section of cable 1 m long? (b) What is the pr
- Generated 8349
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
- Two-digit 7410
How many two-digit numbers can be written using the number 0,2,6? We can also repeat the digits in the number.
- Chocolates
How many ways can we distribute eight different chocolates to four children?
- Three digits number
How many are three-digit integers such that they have no digit repeats?
- Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)?
- School trip
The class has 19 students. How can students be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms? (Each room has its unique number)
- Ten points
There are ten arbitrary points in the plane. How many circles can we make from them?
- Refrigerator, lemonades
How many possible ways can we store three lemonades, four mineral waters, and two juices in the refrigerator next to each other?
- Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2?
- Smallest 7478
The hat has 14 grays, eight white, and six mice. What is the smallest number of mice we have to pull out of our hats to ensure we have at least one mouse of each color?
- Probability 81679
What is the probability that a roll of three dice will result in a number less than 7?
- Bookshelf and books
How many ways can we place seven books on a bookshelf?
- Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)?
- Ace
We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace?
- Guests
How many ways can 8 guests sit down on 10 seats standing in a row?
- Twenty-five
How many are three-digit natural numbers divisible by 25?
- Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10, and 5 euro banknotes. Use a method other than listing all options systematically.
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