# Variations + multiplication principle - practice problems

#### Number of problems found: 107

- Wall paper

Suppose you want to paper your walls. Wall papers are available in 4 diffrent backgrounds colours with 7 different designs of 5 different colours on them. In how many ways can you select your wall paper? - School group

There are 5 girls and 7 boys in the group. They sit in a row next to each other. How many options if no two girls sit next to each other. - Tv dinner tray

I'm trying to calculate total possible unique potential combinations, but I'm trying to solve for a tv dinner tray with 4 little sections for one each of: meat, veggie, starch, dessert. What makes this more complex is we have different types of meats/vegg - Round table

Find the number of ways in which 8 people can be seated at a round table, such that 2 of them always sit together. - The flag

The flag should consist of 3 different colored stripes. Available colors: white, red, blue, green and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of flags - 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 - A married

A married couple planned to have 3 children. i. List the possible combinations of the sexes of 3 children. Use B for boy and G for girl. ii. Calculate the probability that all three children would be of the same gender - 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 - Syrups

In the shop they sell 3 types of syrups - apple, raspberry, orange. How many ways can you buy 4 bottles of syrup? - 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. - School committee

Seven students were elected to the school committee. In how many ways can become the President, Vice-President, Secretary, and Treasurer be selected? - 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? - How many 4

How many four-digit numbers that are divisible by ten can be created from the numbers 3, 5, 7, 8, 9, 0 such no digits repeats? - Coffe cups

We have 4 cups with 4 different patterns. How many possible combinations can we create from 4 cups?

Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.

See also our variations calculator. Variations - practice problems. Multiplication principle - practice problems.