Tutors Answer Your Questions about Permutations (FREE)
Question 1171543: For each positive integer n, the set of integers (0,1...,n-1) is known as the residue system modulo n. Within the residue system modulo 2^4, let A be the sum of all invertible integers modulo 2^4 and let B be the sum all of non-invertible integers modulo 2^4. What is A-B?
Please help me. I have tried multiple ways but have found nothing. Thank you
Click here to see answer by ikleyn(52776)   |
Question 1171712: A club has seven members. Three are to be chosen to go as a group to a national meeting
a) How many distinct groups of three can be chosen?
b) If the club contains four men and three women, how many distinct groups of three contain two men and one woman?
c) If the club contains four men and three women, how many distinct groups of three contain at most two men?
d) If the club contains four men and three women, how many distinct groups of three contain at least one woman?
e) If the club contains four men and three women, what is the probability that a distinct group of three will contain at least one woman?
f) If two members of the club refuse to travel together as part of the group (but each is willing to go if the other does not), how many distinct groups of three can be chosen?
g) If two members of the club insists on either traveling together or not going at all, How many distinct groups of three can be chosen?
Click here to see answer by ikleyn(52776) |
Question 1171715: A large department store has on average 448 shoppers in an hour, with a standard deviation of 21 shoppers.
(i) What is the probability that a random sample of 49 different shopping hours has a sample mean between 441 and 446?
(ii) What is the probability that the store is packed with 500 or more shoppers in an hour?
Click here to see answer by Boreal(15235)  |
Question 1172127: TEAM OF 5 IS TO BE CHOSEN FROM 4 MEN AND 5 WOMEN TO WORK ON SPECIAL PROJECT.
1. In how many ways can the team be chosen?
2.In how many ways can the team be chosen to include just 3 women?
3.what is the probability that the team includes at least 3 women?
4.What is the probability that the team includes more men than women
Click here to see answer by Boreal(15235) |
Question 1172127: TEAM OF 5 IS TO BE CHOSEN FROM 4 MEN AND 5 WOMEN TO WORK ON SPECIAL PROJECT.
1. In how many ways can the team be chosen?
2.In how many ways can the team be chosen to include just 3 women?
3.what is the probability that the team includes at least 3 women?
4.What is the probability that the team includes more men than women
Click here to see answer by Alan3354(69443)  |
Question 1172226: At a company, the data set containing the ages of the applicants for a particular job was normally distributed. The mean age of the applicants was 30 years old, and the standard deviation of the data set was 3.5 years. Which is closest to the percent of applicants that were 21 years old or younger?
Click here to see answer by Boreal(15235) |
Question 1172246: Solve the following:
a. On a piece of paper, 8 points are marked such that no 3 points lie on the same straight line. How many lines can be drawn passing through any 2 of these points
b. Seven points lie on a circle. How many triangles can be drawn using any 3 of these points as vertices?
c. A group of 4 adults and 3 children are to be formed from 8 adults and 5 children. How many possible groups are there?
d. To promote reading, a teacher decides to feature 3 classics, 4 contemporary novels and 2 non-fiction books on a notice board. How many selections can she make from 5 classics, 6 contemporary novels and 4 non-fiction books?
Click here to see answer by math_tutor2020(3816) |
Question 1172246: Solve the following:
a. On a piece of paper, 8 points are marked such that no 3 points lie on the same straight line. How many lines can be drawn passing through any 2 of these points
b. Seven points lie on a circle. How many triangles can be drawn using any 3 of these points as vertices?
c. A group of 4 adults and 3 children are to be formed from 8 adults and 5 children. How many possible groups are there?
d. To promote reading, a teacher decides to feature 3 classics, 4 contemporary novels and 2 non-fiction books on a notice board. How many selections can she make from 5 classics, 6 contemporary novels and 4 non-fiction books?
Click here to see answer by ikleyn(52776) |
Question 1172298: Dear respectful Tutor, I am ask for you to solve problems please.
Part (1)
a) A coin is tossed 3 times. Each toss results in head or tail. Find the number of possible outcomes (result) for the 3 tosses. Illustrate these outcomes using a tree diagram.
b) There are 3 feeder bus services plying to and from the nearby town center. George can ride on one of these services or walk to the town center. However, he decides that on this way back, he will ride on one of these services. In how many ways can he go to the town center and back?
c) Susan has to do the following during take lunch, post letter, go to the bank and buy the afternoon papers. In how many ways can she do all these?
d) Six men and five women are available to form a mixed double pair for a tennis match. How many pairs are possible?
Part (2)
a) Three friends decided to have dinner together and then go shopping. Five restaurants are proposed for the dinner and four nearby shopping centers are suggested. How many possibilities are there?
b) Eight people have been shortlisted for an interview. In how many ways can the interviewer see them one after another?
Click here to see answer by ikleyn(52776) |
Question 1172424: A tutorial class contains 7 male students and 5 female students. Find the number n of ways that the class can elect:
a) a class representative.
b) two class representatives, one male and one female.
c) a class representative and a deputy class representative.
Click here to see answer by ikleyn(52776) |
Question 1172654: Taking an algorithm course and working a union-find problem. Algebra & trig too long ago (high school in 1970s) to remember how to calculate permutations. If I have N objects how many union operations do I need for each object to paired with every other object in the set? I looked at permutation and combination formulas and do not understand the ! symbol.
Click here to see answer by ikleyn(52776) |
Question 1172653: There are 16 girls and 20 boys in a class. A team of 3 students is to be selected for preparing a science project from this class. How many ways can a two boys and a girl be selected from this class?
For this question, I’m assuming we need to use permutations since order counts (one girl, 2 boys). I have tried 36 and 3 because 16 plus 20 is 36. I’m having trouble coming up with the right solution.
Click here to see answer by ikleyn(52776) |
Question 1172696: A student is looking for history class and knows he must be in one of nine classrooms. Since the teacher does not allow students to enter after he has started class, and there is very little time left, the student decides to try randomly in only four classrooms.
a) In how many of the different choices of four classrooms are possible, the history class cannot be located?
b) What fraction of the possible choices will lead to "success"?
Click here to see answer by ewatrrr(24785)  |
Question 1172762: On an infinite chessboard a game is played as follows. At the start  pieces are arranged in an
n x n block of adjoining squares, one piece on each square. A move in the game is a jump in a horizontal or vertical direction over an adjacent occupied square to an unoccupied square immediately beyond. The piece which has been jumped over is removed. Find those values of n for which the game can end with only one piece remaining on the board.
Click here to see answer by ikleyn(52776) |
Question 1173142: 1.Q1: From the letters of MISSISSIPPI, how many different 11 letter words can be constructed?
2.From the letters of TALLAHASSEE, how many different 4 letter words can be constructed if letter repetition are not permitted.
please help me
Click here to see answer by ikleyn(52776) |
Question 1173251: mr. santos has set 8 questions for a math test.
b.) if the easiest question is the 1st question and the most difficult one is the 8th question, how many permutations are there for the 8 questions?
can u please show me the solution. thank you so much
Click here to see answer by Solver92311(821)  |
Question 1173253: mr. santos has set 8 questions for a math test.
d.) if the most difficult question and the easiest one cannot be set next to each other, how many permutations are there for 8 questions?
can u please show me the solution. thank you so much
Click here to see answer by Solver92311(821) |
Question 1173253: mr. santos has set 8 questions for a math test.
d.) if the most difficult question and the easiest one cannot be set next to each other, how many permutations are there for 8 questions?
can u please show me the solution. thank you so much
Click here to see answer by ikleyn(52776) |
Question 1173252: mr. santos has set 8 questions for a math test.
c.) if the most difficult question and the easiest one are set next to each other, how many permutations are there for the 8 questions?
can u please show me the solution. thank you so much
Click here to see answer by Solver92311(821) |
Question 1173252: mr. santos has set 8 questions for a math test.
c.) if the most difficult question and the easiest one are set next to each other, how many permutations are there for the 8 questions?
can u please show me the solution. thank you so much
Click here to see answer by ikleyn(52776) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035
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