Permutations - practice problems - page 5 of 13
Number of problems found: 242
- 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 number of 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/veggie - Probability 59073
A group of n people, including Jano and Fero, randomly line up. What probability will there be exactly r people (r - Balls in row
Calculate the number of ways of placing four black balls, four turquoise balls, and five gold balls in a row. - Family trip
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
- The flag
The flag should consist of 3 different-colored stripes—available colors are 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 fla - 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 - Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board so they don't endanger each other? - 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 - Combinations
Evaluate the following expression involving combinations and permutations: C(6,3) + 3 P(6,3)
- How many 13
How many ways can X³ y⁴ z³ be written without an exponent? - 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.
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