Combinatorics - math word problems - page 40 of 54
Number of problems found: 1077
- 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.
- Hockey
The hockey match ended 8:10. How many different matches could be?
- Classmates 18173
Classmates Anka, Bea, Villa, and Danka can sit next to each other on the bus. What and how many ways can they sit down?
- Permutations without repetition
From how many elements can we create 720 permutations without repetition?
- Math logic
There are 20 children in the group. Every two children have a different name. Alena and John are among them. How many ways can we choose eight children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum o
- 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.
- Repetitions 2956
How many elements do we have if the variation of the third class without repetitions is ten times more than the variation of the second class?
- Prime number
Jan wrote any number from 1 to 20. What is the probability that he wrote the prime number?
- Doctor 2
A doctor noted the Diastolic Blood Pressure (DBP) of a large number of patients. Later, he scrambled the data to keep the privacy of his patients. Based on the scrambled dataset, he finds that the lower inner fence is equal to 50 and the upper inner fence
- 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?
- Three towns and roads
If there are three roads from town A to town B And four roads from town B to town C, how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice?
- Probability 73654
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall?
- Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat?
- 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
- VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
- 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?
- 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?
- Prize
How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition?
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