Natural numbers + variations - practice problems - page 3 of 6
Number of problems found: 104
- Four-digit 82023
How many four-digit numbers are there in which there are at least three eights - How many 4
How many four-digit numbers that are divisible by ten can be created from the numbers 3, 5, 7, 8, 9, and 0 such no digits repeats? - Four numbers
I am a four-digit number, no zeros, in which the first number is five times the last, the second is four more than the first and three times the third, and the third is two more than the last and two less than the first. - Competition 7328
Adam was practicing for a darts competition in class. Every day at home, he threw darts at a target in which the individual fields were worth 1,3 and 5 points. He threw 9 darts every day and always scored 27 points. He is in good form and never missed a t
- Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Five number code
I have a five-digit code on the bag that I forgot. I remember that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code. - Hockey Championships
At the 2021 World Hockey Championships, there are eight teams in Group A, each playing seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are there possi - Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs.
- Competition 67314
The coach must choose two students from Sam, Jura, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with Jura or Ema, and Dano will not go with Ema. How many pairs does the trainer have to choose from? - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take of all the possibilities? - Four-digit 7953
How many four-digit codes on the wheel lock can we create from the digit 0,1,2,3,4,5,6,7,8,9 if it is true that we cannot repeat the numbers? - Covid-19 spread
A Street has 13 houses in a row. Some residents in the first house tested positive for Covid-19. The virus spreads in 2 ways: It can spread to the next house or jump directly to the third house. Residents of house two can get infected in only one way, hou - Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud
- Tournament's 32031
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - Permutations 46323
I want to find the number of permutations of the set M6 if not one element is in that position as in the original input (1 2 3 4 5 6). So I have to exclude numbers with 1 in 1st place, 2 in 2nd place, and 3 in 3rd place. - Vice-chairman 10181
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman? - Double-digit 33471
How many double-digit numbers greater than 60 can we make from digits 0,5,6,7,8,9? The numerals must not be repeated. - A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people
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See also our variations calculator. Natural numbers - practice problems. Variations - practice problems.