Permutations - practice problems - page 6 of 13
Number of problems found: 260
- 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. - Contained 45451 How many natural numbers can you make from the digits contained in the number 4002? No digit may be repeated in the number entry. However, not all digits must be used. Sort the numbers in ascending order of size.
- Travelogues 45401
Martina borrowed three novels and two travelogues from the library. He will read the travelogues first. How many ways can he read the books?
- Fruits
We want to plant five fruit trees in the garden, of which three are apple trees and two pears. How many different ways can we organize them? - 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 - Binary words How many 10-bit words can be created with precisely four units (e.g., 1111000000)?
- 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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