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

Tutors Answer Your Questions about Permutations (FREE)

Question 500253: You have the word FEEBLENESS, in a random arrangement, what is the probabilty that exactly three E's will be together?
Click here to see answer by Edwin McCravy(20054)

Question 500395: find the number of ways to arrange the letters in MINIMUMS
Click here to see answer by Jstrasner(112)

Question 501565: A particular brand of shirt comes in colors 13, has a male version and a female version, and comes in 2 sizes for each sex. How many different types of this shirt are made?
Click here to see answer by edjones(8007)

Question 499362: David science quiz has 10 multiple-choice questions.for each question, there are 4 possible answer choices .How many different choices for answering the 10 questions are possible?
Click here to see answer by suren(2)

Question 500953: how many arrangements will start and end with a vowel for TOGETHER
Click here to see answer by sudhanshu_kmr(1152)

Question 502923: A school supply store test 5 out of every 100 pens to make sure they work. To check the quality control department, the boss places two defective pens in with 98 good ones. How many days could a sample of five of these pens have at least one defective pen? Leave your answer in P/C form....please help I don't even know where to start
Click here to see answer by sudhanshu_kmr(1152)

Question 502465: Find the number of four-letter strings of the alphabet, repetitions allowed, that contain at least one "G" AND at least one "T." I know that those containing at least one "G" is 26^4-25^4, and those containing at least one "T" is 26^4-25^4.
Click here to see answer by sudhanshu_kmr(1152)

Question 501875: In how many ways can ten test questions be arranged so that the easiest and most difficult do not follow one another? I took away 2 from 10 leaving 8 questions to arrange...but i'm stumped...
Click here to see answer by sudhanshu_kmr(1152)

Question 503184: How many different groups of 3 people can be formed from 10 people?

Click here to see answer by jim_thompson5910(35256)

Question 503585: Our class has 25 students. fifteen of the students are women. if a class picture is to be taking in which all the women will stand together and all of the men will stand together, how many different possible arrangements of the students are there?
Click here to see answer by stanbon(75887)

Question 503586: Suppose that in a fund raising lottery, contestants are asked to choose five letters without repeating any letters in their choices. Suppose that a ticket costs $1.00. How much would someone have to spend to ensure that she purchased a winning ticket?
Click here to see answer by stanbon(75887)

Question 503600: A baseball manager has 10 players of the same ability. How many 9-player starting lineups can he create?
Click here to see answer by stanbon(75887)

Question 503687: Three runners each have a single digit number on their shirts; 1, 3 and 6. Arrange them in a row to form a three digit number that is divisible by 7.
Click here to see answer by richard1234(7193)

Question 504352: Team A has 7 male and 3 female players, and team B has 6 male and 4 female players.Two players are to be selected from each of the two teams. in how many ways can the four players be selected so that at least one of them is female?
Click here to see answer by sudhanshu_kmr(1152)

Question 504348: Find the number of arrangements of all the seven letters of the word ECLIPSE in which
(a) L and I are separated;
(b) the vowels are all separated.

Click here to see answer by sudhanshu_kmr(1152)

Question 504398: to win a lotto in one state, one must correctly select 6 numbers from a collection of 46 numbers. the order does not matter. How many different selections are possible
Click here to see answer by Maths68(1474)

Question 504611: A man has 3 friends .In how many was can he invite one or more of them to dinner
Click here to see answer by richard1234(7193)

Question 504989: {lease help me solve this problem: A teacher has 9 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 10 people are possible?
Click here to see answer by sudhanshu_kmr(1152)

Question 506405: A club has 12 members, 7girls and 5 boys.
In how many ways can the club choose a committee of 4 if the committee must have at least 1 boy and at least 1 girl on it?
Click here to see answer by xdragonfight(116)

Question 505839: Suppose your family is having a reunion and all your grandparents, aunts, uncles and cousins are coming. How many people would be at the gathering? you line up tables side by side so that they create one long table for the whole family to sit at. How many possible seating arrangements are there? Suppose you really don't get along with one of your cousins. How many arrangements are there in which you aren't sitting beside that cousin? In how many of those arrangements are you sitting beside your favorite aunt?
Click here to see answer by ichudov(507)

Question 506944: how many permutation are there of 4 people selected from a group of 10?

Click here to see answer by Edwin McCravy(20054)

Question 507701: how many ways are there to choose 3 separate officeholder positions (pres,vp etc) from a group of 12 people?
at first i tried 12*11*10=1320
i tried this formula 12!/3!(12-3)!= 220
But then i was told it was just 12!
just want a conformation, thank you ahead of time
Click here to see answer by jim_thompson5910(35256)

Question 507786: How i can distribute 20 into 6 persons. Each will get equal and not in decimal.
Click here to see answer by Earlsdon(6294)

Question 508054: if six numbers are picked from 1 to 45 and if a number is not repeated.How many sets of six numbers could be picked
Click here to see answer by jim_thompson5910(35256)

Question 508959: How many different 4-letter radio call letters can be made using the 26 capital letters of the English alphabet (Examples: WJBR, KDKA, WSTW) if the first letter must be K or W and no letter may be repeated.
Click here to see answer by oberobic(2304)

Question 509380: How many different groups of 4 students can be created using the 14 students in our class?
Click here to see answer by solver91311(24713)

Question 509914: 12. How many different ways are there to answer 10 multiple choice questions
that each have 4 choices?
(a)(10 choose 4)
(b) 10^4
(c) 4^10
(d) 10!

I'm thinking that the answer is not a) or d) but I'm confused about the other two options.
Click here to see answer by richard1234(7193)

Question 509918: Let x denote the exam scores of 10 students in Stat 230 and y the exam
scores of 10 students in Stat 303. A reasonable value for r is
(a) 0.7
(b) -0.7
(c) 0
(d) r is not applicable
'r' is the correlation coefficient right? But since the two are independent of each other I think the answer is c) 0? Is that the right way of thinking about it?
Click here to see answer by solver91311(24713)

Question 511023: You have 7 sweaters that you want to take on vacation but only have enough room to pack 4 sweaters in your suitcase. How many different combinations of sweaters can you bring?
Click here to see answer by Maths68(1474)

Question 511096: how many combinations of two letters are possible from the letters U, A, and X?
Click here to see answer by Alan3354(69443)

Question 511462: Good Afternoon! I would appreciate help in solving the following question.
A panel containing 4 on/off switches in a row is to be set. Assuming no restrictions on individual switches. Use the fundamental counting principal to find the total number of possible panel setting??
Thanks so much in advance!
Click here to see answer by stanbon(75887)

Question 511581: How many seven-digit phone numbers are possible if the first two digits cannot be zero or one?
Click here to see answer by oberobic(2304)

Question 511581: How many seven-digit phone numbers are possible if the first two digits cannot be zero or one?
Click here to see answer by richard1234(7193)

Question 511670: from the ten books that you've recently bought but not read, you plan to take 4 with you on vacation. how many different sets of 4 books can you take?
Click here to see answer by Maths68(1474)

Question 511456: Hello! I need to know how to set up the following question? Thanks so much!
How many ways can a male and female be selected to decorate for a party from a club consisting of 7 members, 5 being men and 2 are women.
There are ______ number of ways that male and female can be selected?
Click here to see answer by Maths68(1474)

Question 511454: Hello! This question has me stumped.
In a certain city there are 4 streets going North and South and 4 streets going east and west. how many street paths start at the SW corner of the city, end at the NE corner of the city and have the shortest possible length.
There are ______ such paths?
Click here to see answer by sudhanshu_kmr(1152)

Question 511802: How many license plate numbers can be made by using one letter followed by five digits selected from the digits 0 through 9?
Click here to see answer by John10(297)

Question 512015: How many ways can 7 people sit in 7 seats in a row?
Click here to see answer by josmiceli(19441)

Question 512138: There are 12 women and 5 men. A committee of 7 women and 4 men is to be chosen. How many different committee can be formed?
Click here to see answer by SUNIL1987MAURYA(7)

Question 511003: how many groups of 2 boys and 2 girls can be formed from 5 boys and 5 girls?
Click here to see answer by SUNIL1987MAURYA(7)

Question 512146: Assuming that the probability of a pea having a green pod is 0.15. When 12 peas are generated, use Binomial probability formula to find the probability of getting at least 2 green peas.
Click here to see answer by SUNIL1987MAURYA(7)

Question 512158: If two dice are rolled find the probability that sum of the numbers on two dice are even?
Click here to see answer by SUNIL1987MAURYA(7)

Question 512722: How many permutations of two letters are possible from the four letters a,b,c,d?
Click here to see answer by stanbon(75887)

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