Tutors Answer Your Questions about Permutations (FREE)
Question 456579: An advertising firm based in Boston has 12 advertising agents. Next week, agents must meet with 3 prospective clients in Orlando, Chicago, and Seattle. The firm will send 3 agents to Orlando, 4 to Chicago, and 3 to Seattle. Assuming no agent will travel to more than one destination, how many different arrangements of agents are possible to meet with 3 prospective clients?
Click here to see answer by edjones(8007)   |
Question 456585: There are 15 teams in the Eastern Conference of the National Hockey League for 2006-2007 season, divided into 3 divisions of 5 teams each. Eight of these teams will participate in the playoff. The division winner from each division goes to the playoff; in addition the next 5 ranked teams in the conference, based on regular season records will participate in the playoffs. How many different collections of eight teams from the Eastern Conference could go to the playoffs?
Click here to see answer by edjones(8007) |
Question 456788: A group of 9 people is going to be formed into committees of 4, 3, and 2, people. How many committees can be formed if:
a) A person can serve on any number of committees?
b) No person can serve on more than one committee?
Click here to see answer by stanbon(75887) |
Question 456973: a woman has applied for a job with two firms A and B. she estimates that her chance of getting an offer from A is 0.4 and from B is 0.3. Assuming that the two firms are independent. what is the probability that:
i. she gets an offer from both
ii she gets an offer from atleast one
iii neither of the firms offers her a job
iv firm A offers her a job but B declines.
Click here to see answer by edjones(8007) |
Question 456965: A committee of five people is to be selected from a group of 6 men and 3 women, the committee should have at least 2 women.
- How many different ways are there of selecting the committee?
- would there be a difference if the order of selection is considered and the order not considered?
kindly assist, i have tried to figure it out, but my confusion is the clause atleat 2 women, i tried to solve this as 6c3, as in 6 combination 3, but the word atleast 2women is where my confusion is. And also i do not think the order of selection matters, but i also need your opinion.
Thank you.
Click here to see answer by edjones(8007) |
Question 457537: a four digit serial number is to be created from the digits 0 through 9. How many of these serial numbers can be created if 0 can not be the first digit, no digit may be repeated, and the last digit must be 5? Show work
Click here to see answer by amoresroy(361)  |
Question 459185: Seven person sit in a row. Find the total number of seating arrangement, if (i) three person ABC sit together in a particular order,(ii) ABC sit together(in any order); (iii) B and C occupy the end seats; (iv) C always occupy the middle seat.
Click here to see answer by sudhanshu_kmr(1152)  |
Question 459560: How many 4-digit whole numbers using the digits in the set {1,2,3,4,5,6,7,8,9,0}can be formed using the restrictions below.
For purposes of this problem, the whole number can be "padded" with zeros on the left. So a 0014 is a good number,(IE numbers can start with zeros).
Each part below is is independant of the previous part.
a. Numbers do not contain the same digit twice, (without replacement)
b. Numbers end with an even digit and can repeat digits, (with replacement)
c. Numbers begin with an odd digit and can repeat digits, (with replacement)
d. Numbers begin and end with a 1, (with replacement)
e. Numbers have exactly three digits which are 7s (with replacement)
Click here to see answer by Edwin McCravy(20054)  |
Question 459593: Jar A contains 5 red balls and 7 white balls. Jar B contains 8 red balls and 4 white balls. A fair die is rolled. If a 1 or 2 comes up, a ball is randomly selected from jar A, otherwise, a ball is randomly selected from jar B
a)Find the probability that a red ball is selected
b)Given that the ball selected is red, find the probability that it came from jar B
Click here to see answer by sudhanshu_kmr(1152) |
Question 460305: a committe of 8 students is to be chosen from 10 boys and 8 girls, in how many ways can this be done if:
a) the committe must contain AT LEAST one girl?
b)jack (one of the 10 boys) and jill (one of the 8 girls) insist on being on the committe?
Click here to see answer by edjones(8007) |
Question 460319: How many arrangements are there for five people in a line for a photo if two of the five people must stand together?
I guessed it could be 4 factorial dice two of the people must be together meaning 4*3*2*1=24
Click here to see answer by edjones(8007) |
Question 460671: A professor decided to create a student committee of three students. Initially he selects 5 females and 4 males. How many possible committees can be created with 3 males and how many can be created with 2 females?
Click here to see answer by edjones(8007) |
Question 461144: A shipment of 120 computer cases that contains5 defective cases was sent to an assembly plant. he quality control manager as the assembly plant randomly selects 5 cases and inspects them. What is the probability exactly one case is defective?
Click here to see answer by edjones(8007) |
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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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