Tutors Answer Your Questions about Permutations (FREE)
Question 1043764: A typist has 5 letters and 5 addressed envelope. in how many different ways can the letters be placed in each envelope without getting every letter in the right envelope? If the letter are placed in the envelopes at random, what is the probability that each letter is in its correct envelope?
Click here to see answer by Edwin McCravy(20054)   |
Question 1043953: Hello,I have tried approaching this question but don't know where to begin...
A school chess team consists of 10 students. In how many ways can a team of 6 students be formed for three consecutive games, if there should be a different line-up for each game?
Click here to see answer by ikleyn(52780)  |
Question 1044173: Q: Brittany plans to take Pre-Calculus, English 12, Physical Education, Economics, and Anthropology in her senior year. She hopes to have Pre-Calculus and Physics in the morning. What is the probability that her first two classes will be Pre-Calculus or Physics? Stephanie solves the problem incorrectly. In which line does she FIRST make an error?
line 1: P(6,2) = 6!/4! = 30
line 2: P(6,4) = 6!/2! =360
line 3: P (6,2) * P(6,4) = 30*360=10,800
line 4: P(6,6) = 6!/0! - 720
line 5: s/s+f = 720/10,800 = 66.7 %
Click here to see answer by Boreal(15235)  |
Question 1044181: I asked this question previously but I mistakenly asked incorrectly. I received a response from a very kind gentleman but I need to clarify the question. It goes as follows (my apology);
Brittany plans to take Pre-Calculus, English 12, Physics, Physical Education, Economics, and Anthropology in her senior year. She hopes to have Pre-Calculus and Physics in the morning. What is the probability that her first two classes will be Pre-Calculus or Physics? Stephanie solves the problem incorrectly. In which line does she FIRST make an error?
line 1: P(6,2) = 6!/4! = 30
line 2: P(6,4) = 6!/2! =360
line 3: P (6,2) * P(6,4) = 30*360=10,800
line 4: P(6,6) = 6!/0! - 720
line 5: s/s+f = 720/10,800 = 66.7%
A)Line 1; Correction: P(2,2) = 2!/0! = 2
B)Line 2; Correction: P(4,4) = 4!/0! = 24
C)Line 4; Correction: P(6,6) = 6!*6! = 518,400
D)Line 5; Correction: s/s+f = 10,800/720 = 15%
Click here to see answer by richard1234(7193)  |
Question 1044181: I asked this question previously but I mistakenly asked incorrectly. I received a response from a very kind gentleman but I need to clarify the question. It goes as follows (my apology);
Brittany plans to take Pre-Calculus, English 12, Physics, Physical Education, Economics, and Anthropology in her senior year. She hopes to have Pre-Calculus and Physics in the morning. What is the probability that her first two classes will be Pre-Calculus or Physics? Stephanie solves the problem incorrectly. In which line does she FIRST make an error?
line 1: P(6,2) = 6!/4! = 30
line 2: P(6,4) = 6!/2! =360
line 3: P (6,2) * P(6,4) = 30*360=10,800
line 4: P(6,6) = 6!/0! - 720
line 5: s/s+f = 720/10,800 = 66.7%
A)Line 1; Correction: P(2,2) = 2!/0! = 2
B)Line 2; Correction: P(4,4) = 4!/0! = 24
C)Line 4; Correction: P(6,6) = 6!*6! = 518,400
D)Line 5; Correction: s/s+f = 10,800/720 = 15%
Click here to see answer by ikleyn(52780) |
Question 1044187: Brent started to solve the following probability problem as shown below:
A shipment at a department store contains 40 alarm clocks. 4 of them are defective. If 6 alarm clocks are removed from the shipment at random, find the probability that four of them are defective.
Brent's work: C(4,4) = 4!/4!0! = 1
What is the correct NEXT step to solve the problem?
A)C(40,6) = 40!/6!34! = 3,838,380
B)P(40,6) = 40!/34! = 2,763,633,600
C)C(36,2) = 36!/2!34! = 630
D)P(4,4) = 4!/0! = 4
Click here to see answer by ikleyn(52780) |
Question 1044235: a traveling book salesperson has 5 copies of a certain statistic book, 4 copies of a certain geometry book and 3 copies of a certain calculus book. If these books are to be stored on a shelf in the sales person's van, how many distinct arrangements are possible?
Click here to see answer by ikleyn(52780) |
Question 1044316: A multiple choice test consists of eight questions, each of which has four choices. Each question has exactly one correct answer.
William guesses randomly at each answer. What is the probability that he gets six or fewer questions correct? (Round your answer to four decimal places.)
Click here to see answer by reviewermath(1029)  |
Question 1044378: h) In a Mathematics course, the students are required to complete four projects. If there
are ten different projects to choose from, how many ways can a student choose the
four projects
i) if there are no restrictions? ii) if two of the projects are compulsory for all students?
Click here to see answer by jorel555(1290) |
Question 1044704: Eight guests have to be seated 4 on each sides of a long rectangular table 2 particular guests desire to sit on one side of the table and 3 on the other . The number of ways in which the sitting arrangements can be made is ?
Click here to see answer by addingup(3677)  |
Question 1045960: A team of five is chosen from seven men and five women to work on a special project.
A: in how many ways can the team be chosen?
B: in how many ways can the team be chosen to include just three women?
C: what is the probability that the team includes just three women?
Click here to see answer by robertb(5830)  |
Question 1046047: nP4=84nC2 Solve for n using factorial notation
I'm really struggling with this question and would be grateful for help, please and thank you.
This is what I've tried but it feels really messy and wrong.
n(n-1)(n-2)(n-3)(n-4)!/(n-4)! = 84 {n(n-1)(n-2)!/2!(n-2)!}
n(n-1)(n-2)(n-3) = 84 {n(n-1)/2}
2{n(n-1)(n-2)(n-3)} = 84{n(n-1)/2) x2/1}
2{n(n-1)(n-2)(n-3)}/n(n-1) = 84{n(n-1)}/n(n-1)
2{(n-2)(n-3)}/2 = 84/2
(n-2)(n-3) = 42
n^2-5n-36=0
(n-9)(n+4)=0
n=9 because n cannot be negative (-4)
Click here to see answer by ikleyn(52780) |
Question 1046924: 18 Lotto is a gambling game played by choosing 6 numbers from 45. Gamblers try to
match their choice with those numbers chosen at the official draw. No number can be
drawn more than once and the order in which the numbers are selected does not matter.
a How many different selections of 6 numbers can be made from 45?
b Suppose the first numbers drawn at the official draw are 42, 3 and 18. How many
selections of 6 numbers will contain these 3 numbers?
c Suppose the first numbers drawn at the official draw are 42, 3, 18 and 41. How
many selections of 6 numbers will contain these 4 numbers?
Click here to see answer by Boreal(15235) |
Question 1047421: A fan of country music plans to make a custom CD with
12 of her 29
favorite songs. How many different combinations of
songs are possible? Is it practical to make a different CD for each possible combination?
Click here to see answer by ewatrrr(24785)  |
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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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