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

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Question 435059: how many even four digit number can you form from the digits 1,2,3,5 where no digit is used twice
Click here to see answer by Alan3354(69443)

Question 435586: How many ways are there for a horse race with three horses to finish if ties are possible?(Note: Two or three horses may tie)
Thanks a lot . . .
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Question 435577: How many ways are there for eight men and five women to stand in a line so that no two women stand next to each other?
thanks a lot . . .
Click here to see answer by robertb(5830)

Question 435595: In how many ways can a committee of five people be selected from seven women and nine men if at least one woman must be in the committee?
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Question 435624: How many possibilities are there to select a team of 3 members from 9 players?
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Question 435603: n a town in Fiji, it is known that 20% of the families have no children, 30% have 1 child, 20% have 2 children, 16% have 3 children, 8% have 4 children, and 6% have 5 or more children. Find the probability that a family has more than 2 children if it is known that it has at least one child.
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Question 435686: How many ways are there for a horse race with four horses to finish if ties are possible?(Note: Any number of the four horses may tie.) My answer is 75, But I still doubt it. Can anyone give me a reason?
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Question 435922: Five paychecks and envelopes are addressed to five different people. The paychecks are randomly inserted into the envelopes. What is the probability that at least one paycheck is inserted in the correct envelope?
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Question 436005: how many ways can 5 runners place 1st to 5th place in a race?
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Question 436062: What is the coefficient of x3y2 in (3x � y)5 ?
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Question 436086: Find integers x and y satisfying 966x + 686y = 70
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Question 436061: Find a solution in integers to the equation : 1320x + 714y = 30
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Question 436219: How many combinations of a president, vice-president, secretary, and treasurer can be chosen from a group of 12 students?

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Question 436407: The question is How many arrangements of the letters in INSTRUCTOR have all of the following properites:
a. The vowel appearing in alphabetical order,
b. At least 2 consonants between each vowel.
a.In a I understand that vowels are fixed in the alphabet as A,I,O,U abd there is only one way to put 3 vowels but I am lost after that.
b. I understand that there are two sections that appear with atleast 2 consonants in the word, but after that I do not know how to solve it.
Click here to see answer by stanbon(75887)

Question 436495: If nPr= 55400 and nCr=462, determine r.
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Question 436484: how many five letter words can you make from the following letters c,a,r,e,d?
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Question 436483: how many words can you make from the following letters a,r,c,d,and,e ?
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Question 436483: how many words can you make from the following letters a,r,c,d,and,e ?
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Question 436941: find the number of ways of sitting seven men on a bench
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Question 436581: how many ways can 10 people be seated around a circular table?
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Question 436940: 1)in how many ways can six members of a board of directors of a company be seated round a circular table (diagram compulsory)

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Question 437170: How many ways can 8 people be seated at a round table?
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Question 437152: My question is the following: In a lottery a player chooses 7 numbers from the numbers 1-42. (1)- How many ways can the 7 numbers be chosen?
Thank You for Your Time!
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Question 437353: In how many ways can a committee of three men and four women be formed from a group of 11 men and 11 women?

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Question 437656: How many different ways can 4 people be seated in a row of 4 seats?
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Question 437657: An airport identification code is made up of three letters, like the examples shown: ABQ, DFW, JFK, LAX, ORD. How many different airport identification codes are possible? (Assume any letter can be repeated and can appear in any position.)
Click here to see answer by jim_thompson5910(35256)

Question 437658: Laura is making gift baskets. Each gift basket has 2 gifts, and she has 5 gifts to choose from. How many different gift baskets can Laura make?
Click here to see answer by robertb(5830)

Question 437759: last one.... if there are 5 different stat books, 3 dif prob books and 3 dif exam prep books, how many ways can they be arranged if all the books 0f the same type remain next to each other??? Once again...I know it is a permutation but how can I show how to solve the problem rather than plugging the 3's into my calculator?
Thanks Much!
Click here to see answer by stanbon(75887)

Question 437772: How can I write a comment to say THANKS!??
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Question 437772: How can I write a comment to say THANKS!??
Click here to see answer by MathLover1(20849)

Question 437758: The man picks 1 from each of the following short stories every night and reads one short story from each of the following catagories: 1 of 5 mysteries, 1 of 4 non-fiction, 1 of 6 teen tales, 1 of 3 Robin Cook books, and and 1 of 5 historical novels. How many options does he have if he must start and end with either a mystery or a teen tale?Can you help with an explanation of how to go about solving a simpler problem too? I am so stuck. I think it is a permutation???
Click here to see answer by josmiceli(19441)

Question 438293: In how many ways can the first 4 places be filled by 10 horses in a race assuming there are no ties?
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Question 438097: In a certain state, each automobile plate number consists of two letters followed by a four digit number. how many distinct plate numbers can be formed if no letter or number can be repeated?
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Question 438373: Please help me with is...
Write this expression using exponents: √x^3y.
(1) x^2/3 y^1/3
(2) x^3/2 y^1/3
(3) x^3/2 y^1/2
(4) (xy)^3/2
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Question 438918: A teacher is making a seating chart for a class of 16 students. If each student is assaigned to one of 4 tables that seat 4 students each, how many different seating charts are possible?
Click here to see answer by Edwin McCravy(20054)

Question 439257: In how many ways can a president and a treasurer be selected from a club of 5 members?
Please help me solve this question thank you. I tried drawing a tree diagram and I drew a list and I got 100 as my answer but I'm not sure if it's right so again please help me with this problem.
Click here to see answer by stanbon(75887)

Question 439308: In how many ways can a student arrange 20 CDs in 4 CD player?

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Question 439722: eight horses are entered in a race in which a first, second, and third prize will be awarded. assuming no ties, How many different outcomes are possible?

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Question 439731: 1. a baseball team has 3 catchers, 9 pitchers, 6 infielders, and 7 outfielders. In how many ways can a team of 9 be chosen for a game?
2.how many poker hands consist of 3 aces and 2 kings?
3.from a group of 6 representatives of labor, 5 representatives of business, 8 representatives of the general public, how many commitees of 6 can be formed consisting of 2 people from each group?
4. In how many ways can be eleven chosen out of batch of 15 players? how many of these will: A) include one particular player? B) exclude one particular player?
Click here to see answer by edjones(8007)

Question 439727: 1.in how many ways can the letters of the word WORLD be arranged such that O and R may always be together?

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Question 439770: How many triangles are determined by 20 points if no three of them are in a line?
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Question 439867: In a spanish deck of cards; how many ways can you make a full house?
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Question 439932: A pizza shop offers nine toppings. In how many ways could you order your pizza?
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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