Combinatorics - math word problems - page 42 of 54
Number of problems found: 1077
- Volleyball 7827
In the volleyball tournament, three teams and four foreign teams played, each with each other, in one match without revenge. How many games have been played?
- Probability 2386
We throw a die seven times. What is the probability that: a) the first, second, and third times fall six and not in all the others, b) 5 does not fall four times in a row, and yes, in the last 3 hours?
- Boys and girls
There are 20 boys and ten girls in the class. How many different dance pairs can we make of them?
- Combinations - elements
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have?
- Even five-digit
How many can even five-digit natural numbers with different digits be created from the digits 0 - 6?
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
- Subsets
How many 19 element subsets can be made from the 26 element set?
- Class - boys and girls
In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl?
- 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)?
- Seven segments display
Electronic devices sometimes use the type of digits below, where each digit uses some short stripes. For example, seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes?
- Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0
- 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?
- Different 82982
How many different ways can Milka, Peter, Joseph, and Renata sit next to each other in the cinema if Milka always sits in seat number 1 and Peter always sits in seat number 4? List all options.
- Equipment 69464
Miša is buying skater equipment. He chooses one of 2 helmets, one of three gloves, one of four knee pads, and one of two elbow pads. How many options does it have for buying equipment?
- 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?
- Year 2020
The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options.
- Pages counting
There are pages numbered 2 to 104 in the book. How many digits have to be printed to number the pages?
- 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)
- Three numbers
We have three different non-zero digits. We will create all three-digit numbers from them and use all three figures in each. We add all the made numbers and get the sum of 1554. What were the numbers?
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