136 Answered Questions for the topic Permutations
Struggling on this problem retaining to sets
Let the Universal Set, S, have 100 elements. A and B are subsets of S. Set A contains 45 elements and Set B contains 61 elements. If Sets A and B have 20 elements in common, how many elements are... more
Use the binomial theorem to expand (3x-2y)^4
Write each term in the simplest form.(3x-2y)4
Given the binomial (2-5x)^8
(2-5x)8a. Determine the middle term for this expansion. State the answer in the simplest form. b. If the expansion is written in ascending order of powers, determine the seventh term. (1 mark)
Given the binomial: (x-2/x2)9
(x-2/x2)9 ----> -2 divided by x squared is the fractiona. Determine the second last term in simplest form.b. Determine the coefficient of the simplified term containing the variable... more
There are 10 people lining up for a movie including three friends. Anne, Bradley and Carol.
a) Determine the number of ways the line could be formed if three friends will always stand together. b) Determine and the number of ways the line could be formed if the three friends stand... more
A school Grad Committee of three students is to be formed from 7 male and 5 female grade 12 students
a. Determine the total number of ways the committee may be formed.b.Determine the total number of ways the committee may be formed If the three committee members fill distinct roles for Chair,... more
Your math teacher is packing to vacation in a warm, sunny location and she does not want to pay the extra money for checked luggage.
Your math teacher is packing to vacation in a warm, sunny location and she does not want to pay the extra money for checked luggage. She needs to pack all her clothes in one small carry-on bag. She... more
3 questions: permutations and combinations
Dear math experts,I hope this finds you well.I solved 2 questions and I wonder whether my answers are correct.1) A coach must choose 8 players randomly from 10 players and assign them to three... more
Best Order of Songs to Optimize Time Spent
Let's say that I have a band that practices 4 songs and has 7 people in the band. Everyone has to be at practice for the first song on the list but not everyone is on every song. Once each... more
A music store wants to display 2 identical keyboards, 3 identical guitars, and 2 identical drum sets in its store window. How many distinct arrangements are possible?
The local diner employs three servers, Ally, Benny, and Charli. On Monday night Ally served 40% of the customers, while Benny served 27%. What percent did Charli serve?
a. The local diner employs three servers, Ally, Benny, and Charli. On Monday night Ally served 40% of the customers, while Benny served 27%. What percent did Charli serve?b. That night 60% of... more
evaluate this expression 3! – 2 x 4! + P(7,0) – P(3,3) + 0!
1. There are 6 women and 5 men applying for positions at Walmart in Toronto. There are only 4 positions available.
1. There are 6 women and 5 men applying for positions at Walmart in Toronto. There are only 4 positions available. a) In how many ways can these four (4) positions be filled?b) In how many ways... more
The director is looking at eight performers for the roles of Luke Skywalker, Han Solo and Darth Vader. How many ways are there that the director cast these three roles?
1. In the school play of Star Wars, the director is looking at eight performers for the roles of Luke Skywalker, Han Solo and Darth Vader. How many ways are there that the director cast these three... more
Can someone check my answers for this question please?
A family of 7 are to take a photograph.a. How many arrangements are possible if the triplets (Jack, Bob, Don) are side by side?My Answer: 5! x 3!b. How man arrangements are possible if the parents... more
How many permutations are there of the letters in the word BASKETBALL, if the two Ls must be together?
27 people attend a conference. door prizes are awarded randomly to 2 people. what is the probability that Adam and Samantha will win the door prizes?
How many combinations of 16 characters can i have with 12 places? Repetition is allowed.
The game no man's sky has a coordinate system using "glyphs", unique characters, of which there are 16, but the actual coordinates only use 12 of these 16 glyphs.Repetition of glyphs are allowed.... more
how many 7 digit telephone numbers can be formed if the first digit cannot be 0 or 1?
there are 5 routes that a commuter can take from her home to the office. in how many ways can she make a round trip if she uses different routes for coming and going
Permutations algorithm maximum difference/contrast
Hello, I was wondering what would be the algorithm for permutations with 5 numbers and 4 possible kinds of numbers used and order being important. To make each iteration as different as possible... more
25 board members are eligible to hold the office of president, vice president, secretary, vice secretary and treasurer how many nominations are possible?
no person may be nominated for two or more positions
Permutations with restrictions and repitition
Answer the following regarding three digit numbers if 234 is considered a 3 digit number but 034 is not:a) How many odd three digit numbers are there if numbers can be repeated?b) How many odd... more
Combinations/Permutations (Very Urgent!!!)
There are 14 European cities that Jim would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday.... more
How many circular arrangements for 4 boys and 4 girls are possible if three boys cannot sit together?
How many circular arrangements for 4 boys and 4 girls are possible if three boys cannot sit together? Also assume that any two of these three boys cannot sit together.