Reason + variations - practice problems - page 2 of 7
Number of problems found: 127
- Constructed 67424
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options. - 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? - Different 66944
It was Tibor's birthday, and he bought 8 different cookies for his friends (Horalky, Tatanky, Kávenky, Attack, Mila, Anita, Mäta, Lina). He put them all in a box, and each friend could choose two pieces. Tanya chose first. Which two cookies could Táňa cho - Five-digit 66894
Create all five-digit numbers in ascending order from three, four, and two zeros. - Sequentially 63274
In the pocket, there are six tickets marked with numbers 1 to 6. How many ways can we sequentially, taking into account the order, select 3 of them if the chosen tickets do not return to the pocket? - Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is? - 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? - Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - 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 - Three-digit 58943
The vortex of the three given digits formed different three-digit numbers. When she added up all these numbers, she published 1554. What numbers did Vierka use? - 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. - 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. - Determine 55891
Determine the number of nine-digit numbers in which each of the digits 0 through 9 occurs at most once and in which the sums of the digits 1 through 3, 3 through 5, 5 through 7, and 7 to the 9th place are always equal to 10. Find the smallest and largest - 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 - 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 - 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? - 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?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.