Permutations + natural numbers - practice problems

Number of problems found: 30

Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)?
Balls in row
Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row.
Hockey Championships
At the 2021 World Hockey Championships, there are eight teams in Group A, each of which plays 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 ther
How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
There 8
There are 7 women and 5 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 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)?
Three wagons
I have 6 different people (A, B, C, D, E, F), which I have to place into 3 wagons, if it depends on who will board. How many options are there?
Tic-tac-toe
In how many ways could 9 participants of the school round of five-in-a-row win the first three places?
Permutations with repetitions
How many times the input of 1.2.2.3.3.3.4 can be permutated into 4 digits, 3 digits and 2 digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried permutation fo
Cups on the shelf
Two green, three red, and two yellow cups should be placed side by side on the shelf. a) How many different ways of setting up can arise? b) How many different ways of arranging can arise if cups of the same color stand side by side?
Seedbeds
The father wants to plant 2 seedbeds of carrot and 2 seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has.
Number 4
Kamila wrote all natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
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.
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
You have
You have 4 reindeer and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?
Coffe cups
We have 4 cups with 4 different patterns. How many possible combinations can we create from 4 cups?
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 different. How many di
Graduation party
There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
Three numbers
We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?
Three-digit numbers
Use the numbers 4,5,8,9 to write all three-digit numbers without repetition. How many such numbers are there?
Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1,8,7,4,9?

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See also our permutations calculator. Permutations - practice problems. Natural numbers - practice problems.