# Variations - practice problems

#### Number of problems found: 133

- Three dices

What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - 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 - Covid-19 spread

A Street has 13 houses in a row. Some resident sin 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 2 can get infected in only one way, house - Five number code

I have a 5 digit code on the bag that I forgot. All I remember is 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 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 - C(6,3)

C(6,3) + 3 P(6,3) - 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. - 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?

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