Combinatorics - math word problems - page 39 of 54
Number of problems found: 1079
- BRATISLAVA 35531
How many words can we make from all letters of the word BRATISLAVA?
- Insurance
The house owner is insured against natural disasters and pays 0.05% annually of the value of the house 88 Eur. Calculate the value of the house. Calculate the probability of disaster if you know that 50% of the insurance is to pay damages.
- Three dice 2
What is the probability that two odd numbers will be the same when three dice are rolled?
- Numbers 6D
Find out how many natural six-digit numbers exist whose digit sum is four.
- How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
- Hockey
The hockey match ended 8:10. How many different matches could be?
- Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books".
- Middle finger
Jana counts on one hand one by one. She starts counting from her thumb through her index finger, middle finger, and ring finger and comes to her little finger and has the number 5. Then she immediately returns to her ring finger (6), to her middle finger
- Hazard game
In the Sportka hazard game, six numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess five numbers correctly) b) the third prize (we guess four numbers correctly)?
- Probability of intersection
Three students have a probability of 0.7,0.5, and 0.4 to graduate from university, respectively. What is the probability that at least one of them will be graduated?
- Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there?
- Box and whisker plot
Construct a box and whisker plot for the given data. 56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43
- Permutations without repetition
From how many elements can we create 720 permutations without repetition?
- Participants 80965
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting?
- 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.
- We roll
We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
- Completely 79274
Kitchen cabinets are sold in widths of 80 cm, 60 cm, and 40 cm. Which assembly can we choose if we have a wall 3.5 m long and we want to completely fill it with an assembly that also includes a dishwasher, the width of which is 60 cm, and the stove is 50
- Dinning room
How many different combinations can we choose if there are three soups, five kinds of the main dish, and two desserts in the dining room?
- Disembarked 5962
Twenty-two passengers boarded in Žilina. Everyone gradually disembarked on the Teplička, Strečno, Vrútky, and Martin lines (the wagon was already empty in Martin). How many ways could they come out?
- Individual 4688
The locomotive pulls six wagons. Each of the wagons is either red or blue. The order of colors of individual wagons is the same from the front and back. How many such trains can you draw?
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