Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 651595: A teacher wishes to pick a hall monitor and an assistant hall monitor from her class of 34 students. In how many different ways can the selection be made?
Click here to see answer by lynnlo(4176)

Question 651790: This question has two parts. Given a list of 6 students (i.e. Mary, Sue, Anna, Bob, Sam, John) how many different ways can they be arranged in order first to last with no repeats? I figured out that there would be 720 possible arrangements 6*5*4*3*2*1=720 different combinations. But I don't know how to figure out the second part of the question which is, "What are the number of times Anna will be listed first out of the six names?
Click here to see answer by jim_thompson5910(35256)

Question 652196: a four-letter identification code can be formed from the letters A, B, C, D, and E. assume letters can be repeated. How many codes can be formed?
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Question 652681: what is the largest three-digit number that u can make using these number tiles 6, 5, 1, 2, 8, 0
Click here to see answer by Edwin McCravy(20054)

Question 653104: 3 ladies and 3 gents can be seated at a around table so that any two and only two of the ladies sit together.the number of ways is?
Click here to see answer by ewatrrr(24785)

Question 653377: Question: In how many ways can a group of 2 boys and 3 girls be made out of a total of 6 boys and 4 girls?
Attempt: I started off by looking at the boys seperately, so 6 boys, two spots in the group should be 6P5= 30. Same thing for girls, 4P3=24. My final step was multiplying them together, 30x24 to achieve 720, operating on the principle of fundamental counting. However, I was told this answer of 720 was incorrect.
Would someone please show me how to do this question?
Click here to see answer by solver91311(24713)

Question 653822: How many 4 letter code words can be made using letters in the word pencil if repetitions are permitted? If repetitions are not permitted?
Click here to see answer by lynnlo(4176)

Question 654330: How many different teams of 3 can be chosen from 4 people?
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Question 654404: I have a group of 8 people who play bridge every month. There are 4 people per table so 2 tables per month
I need to develop a list of who plays with each other. I want to arrange it so that everybody gets to play with each other as equal as possible over the course of a year
I feel that there has to be a simple mathmatical way of doing this instead of just trying to be random.
Thanks for your help!
Ann
AnnMarion123@hotmail.com
Click here to see answer by ewatrrr(24785)

Question 655011: Three person have 4 coats, 5 waistcoats ,6 hats. Find in how many ways can they put on the clothes ?
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Question 655278: How many different 20 persons committee can be formed each containing at least 2 professors and atleast 3 associate professors from a set of 10 professors and 42 associate professors.

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Question 655997:
A teacher has 6 students. They pose for a picture by standing in a single line. If the teacher stands on either end of the line, how many different arrangements of the 7 people are possible?
Click here to see answer by DrBeeee(684)

Question 656980: In how many ways can 5 different contracts be distributed among 11 different firms, if no two contracts are awarded to the same firm?
Click here to see answer by stanbon(75887)

Question 657302: There are 17 street lamps along a straight street. In order to save electricity and not affect the regular use at the same time, we can shut down 5 of these lamps, but we cannot turn off a lamp at either end of the street, and we cannot turn off a lamp adjacent to a lamp that is already off. Under such conditions, in how many ways can we turn off 5 lamps?
Click here to see answer by stanbon(75887)

Question 657361: how many groups of 3 toys can child choose to take on vacation from a toy box containing 11 toys

Click here to see answer by kevwill(135)

Question 657361: how many groups of 3 toys can child choose to take on vacation from a toy box containing 11 toys

Click here to see answer by Edwin McCravy(20054)

Question 658540: the number of ways in which four letters of the word 'MATHEMATICS'can be arranged .answer is 2454 pls solve this

Click here to see answer by MathLover1(20849)

Question 658665:
If each post office has its own five-digit zip code in which the last digit must be a 0, how many offices can there be?
Click here to see answer by jim_thompson5910(35256)

Question 658665:
If each post office has its own five-digit zip code in which the last digit must be a 0, how many offices can there be?
Click here to see answer by lynnlo(4176)

Question 658665:
If each post office has its own five-digit zip code in which the last digit must be a 0, how many offices can there be?
Click here to see answer by Alan3354(69443)

Question 658654: find the number of ways of selecting four letters from the word 'EXAMINATION'.ANSWER IS 136 PLS SOLVE THIS THANK U
Click here to see answer by MathLover1(20849)

Question 658654: find the number of ways of selecting four letters from the word 'EXAMINATION'.ANSWER IS 136 PLS SOLVE THIS THANK U
Click here to see answer by kevwill(135)

Question 658824: five bulbs of which three are defective are to be tried in two bulb points in a dark room. number of trials the room shall be lighted is? answer is 7 pls solve this thank u
Click here to see answer by Theo(13342)

Question 658857: How to make 26 using 1,2,3,4?

Click here to see answer by MathLover1(20849)

Question 658817: the number of ways in which 12 mangoes can be equally divided among 3 student
Click here to see answer by math-vortex(648)

Question 658947: A pollster selected 4 of 10 available people. How many different groups of 4 are possible?
Click here to see answer by jim_thompson5910(35256)

Question 658958: If the letter 'Daughter' are to be arranged so that vowels occupy odd places, then number of different word are
Click here to see answer by Edwin Parker(36)

Question 660218: A secretary has to create ten new customers files in how many different orders can he do this ?
Click here to see answer by stanbon(75887)

Question 661184: In a jar, you have 13 marbles: 6 blue, 4 green and 3 red. What is the problababilty that if you select 3 marbles, they're all green? Use permutation method, not conditional probabilty.
Click here to see answer by Theo(13342)

Question 662191: Seven people in your class want to be on a 4-person bowling team to represent the class. How many different teams can be chosen?
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Question 662215: How many different numbers of six digits can be formed from the digits 2,3,0,7,9,5 when repetition of digits is not allowed?
Click here to see answer by kevwill(135)

Question 662107: What is the probability of choosing a face card (jack, queen, or king) on the second draw if the first draw was a king (without replacement)?
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Question 660364: Fill in each blank with one of the given numbers to make a true statement. Each number may be used only once.

1,3,5,7,9

_ / _ x _ - _ /_ = 1

Click here to see answer by kevwill(135)

Question 662236: How many five-digit number license plates can be made if
(a) first digit cannot be zero and the repetition of digits is not allowed?
(b) the first digit cannot be zero, but the repetition of digits is allowed?
Click here to see answer by ewatrrr(24785)

Question 662208: How many numbers are there between 500 and 1000 which exactly one their digits as 8?
Click here to see answer by Edwin McCravy(20054)

Question 662271: if a multiple choice test has 7 questions and each has 5 answers, how many ways can i answer it

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Question 662286: The mean score on the the exam was 63%. The Standard deviation was 12%. Find the smallest interval about the mean that contains at least 82% of the scores.
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Question 662231: How many numbers divisible by 5 and lying 5000 and 6000(both inclusive) can be formed from the digits 5,6,7,8 and 9?
Click here to see answer by KMST(5328)

Question 662350: A president, vice president and treasurer are to be chosen from the club with seven members. How many ways can this be done?
Click here to see answer by lynnlo(4176)

Question 662345: Five students A,B,C,D,E are lined up to buy tickets. IN how many ways can they be arranged if B and C are next to each other?
Click here to see answer by lynnlo(4176)

Question 662299: there are six seat available on the committee. There are 8 female candidates and 6 female condidates runing. whats the probability that the committee will end up with 3 males and 3 females
Click here to see answer by lynnlo(4176)

Question 662238: How many three digit odd numbers can be formed by using the digits 4,5,6,7,8,9 if
(i) the repetition of digits is not allowed?
(ii) the repetition of digits is allowed?
Click here to see answer by lynnlo(4176)

Question 662820: How many outfits can you make with three shirts, three pants and three pairs of shoes?
Click here to see answer by ewatrrr(24785)

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