Variations + multiplication - practice problems - page 3 of 11
Number of problems found: 220
- Students 62184
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have? - Spouses 61294
Ten married couples board the train, which has five cars. How many ways can they take if no two spouses want to be in the exact vehicle? - School group
There are five girls and seven 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 the total possible unique potential combinations, but I'm trying to solve for a tv dinner tray with four little sections each: meat, veggie, starch, and dessert. This is more complex because we have different types of meats/veggies
- Probability 59073
A group of n people, including Jano and Fero, randomly line up. What probability will there be exactly r people (r - Round table
Find the number of ways in which eight people can be seated at a round table, such that 2 of them always sit together. - Possibilities 57821
How many different positions can there be in the first three places in the hockey world championship if 12 teams are playing in them? How many possibilities exist if we are only concerned with which teams will be on the podium? - Dulikovci 56311
Dulikovci, Elikovci, Filikovci, and Galikovci visited each other often last month. Each family visited each family exactly once. How many visits did all four families make together? If two families came to visit one family simultaneously, count it twice. - 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 flag
- 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 - A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - 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 - Three wagons
I have six different people (A, B, C, D, E, F), which I have to place into three 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 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. - Permutations with repetitions
How many times can the input of 1.2.2.3.3.3.4 be permutated into four digits, three digits, and two 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 the - Zubrohlava 39643
There are one asphalt road, two forest roads, and one bike path from Zubrohlava to Bobrov. Find the number of ways we can get from Zubrohlava to Bobrov and back. List all options. - Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup? - Three-digit 38371
How many odd three-digit numbers can you make of the five cards with the numbers 1, 2, 3, 5, and 6?
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