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

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Question 576797: Five girls and five boys are getting together for a party.Suppose one of the boys has 2 sisters amoung the five girls, and he would not accept either of them as a partner.How many couples can be formed
Click here to see answer by chana(69)

Question 576795: Suppose a dice is tossed.What is the probabilitythat at most one 6 appears.
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Question 576127: Mia has four math books, three novels and two books of poetry. She wants to arrange them on her shelf so that all the math books are together on the left end of the shelf, all the novels are together in the middle, and the books of poetry are together on the right end. How many possible arrangements of the books are possible?

Click here to see answer by sudhanshu_kmr(1152)

Question 576841: number of ways in which 6 men and 5 women can dine at a round table if no 2 women are to sit together is given by?
Click here to see answer by chana(69)

Question 577406: In how many ways can 7 students be assigned seats in a row containing 7 desks if two of the students must not be seated next to each other?
Click here to see answer by varun(12)

Question 577466: If the club is sending 3 members to a convention, how many different groups of 3 members are possible?

Click here to see answer by stanbon(75887)

Question 577791: Put down all the arrangement of 4 of 5 letters a,b,c,d,e which can be made with a standing first in each. how many are there
Click here to see answer by rakhileshnaidu(13)

Question 577886: How many different arrangements of the letters a, b, c, d, e, f, end with a? How many different arrangements end with a and with f?
Click here to see answer by jim_thompson5910(35256)

Question 577935: Question 1: In how many ways can a chairperson and a vice chairperson be selected from a committee of 28 senators? Can someone reply to this ASAP please. Last problem on an exam quiz. Thanks.
I came up with 378? Is that correct? If I am in correct please explain what I did wrong. Thanks.
Click here to see answer by jim_thompson5910(35256)

Question 577964: A student is asked to answer 7 out of 12 questions on an exam.
(a) Classify the problem as a permutation, a combination, or neither
Click here to see answer by dfrazzetto(283)

Question 578164: I am trying to figure out the combination on my safe that I forgot. I contacted a locksmith and my options are try to figure it out or as a last resort he has to drill the door. It is a 6 digit electronic lock. Gives you 2 tries then have to wait 5 minutes. I'm almost certain I used 581 which is part of a certain number of mine backwards. lol How can I figure out all the posible combinations to try? Thank you! My email is snowman800@lycos.com
Click here to see answer by dfrazzetto(283)

Question 578493: An exam consits of four true/false questions followed by five multiple choice questions each with 3 answers.
A) How many ways can a student answer the exam if they answer all of the questions?

B) How many ways can a student answer the exam if they can leave true/false questions blank?
C) How many ways can a student answer the exam if they can leave any of the questions blanks?

Click here to see answer by stanbon(75887)

Question 578866: How many different 7 digit telephone numbers contain three 8s, two 6s, one 5 and one 4?
I did 7! x 3! x 2! x 1! x 1!=60480
Is this correct?
Click here to see answer by richard1234(7193)

Question 579112: How many ways can a president and vice president be selected in a class of fifteen students?
Click here to see answer by edjones(8007)

Question 579306: How many ways can you order a pizza if you choose 1 vegatable, 1 meat, and 1 cheese.
Options are Vegatable= 8
Meat=7
Cheese=3
Click here to see answer by edjones(8007)

Question 579314: if a plate of a car consists of two letters and four digit number and one car is chosen at random then find the probability that car has the letter at the begining and at the end
Click here to see answer by edjones(8007)

Question 579315: If there are a total of 14 players to choose from, how many ways can you pick your players if each team picks one at a time? (order does not matter)
Click here to see answer by Theo(13342)

Question 579592: My sister and I are having problems with the process of elimination.
We have to solve the story problem given:
The football team has 45 members. There are twice as many juniors as seniors. How many of each are on the team?
Click here to see answer by scott8148(6628)

Question 579621: Thanks so much! :)
How many three-letter arrangements are possible using the letters of the word CANADA?
The problem for me is the 3-letter part. :/
Any help would be extremely amazing thanks!
Click here to see answer by Edwin McCravy(20054)

Question 580340: How many 4-number license plates can be made using the digits 0,1,2,3,4,5 if an even digit must come first and repititions are allowed? Not allowed?
Click here to see answer by dfrazzetto(283)

Question 580346: if 5 people want to be seated, in how many ways can 4 of them be seated on a bench that seats 4?

Click here to see answer by dfrazzetto(283)

Question 580374: Six students are to be chosen from a class of 18 to represent the class at a math contest. How many ways can the six students be chosen?
Click here to see answer by jim_thompson5910(35256)

Question 580420:
Click here to see answer by eversteen(27)

Question 580466: five students go to the school library. the teacher has them form a single-line. in how many different ways can the students stand in line?
Click here to see answer by jim_thompson5910(35256)

Question 580519: How many different ways can a committee of 3 be selected from among the 55 staff members at a bank?
Click here to see answer by jim_thompson5910(35256)

Question 580258: Three men and ten women are to line up for a picture with the three men in the middle. How many ways can this be done? (Assume there are five women on each side of the group of men)
The answer is 21772800 but i have no idea how to attain it. Thanks!
Click here to see answer by sudhanshu_kmr(1152)

Question 580607: How many groups of 4 can you make from 11 people?

Click here to see answer by Edwin McCravy(20054)

Question 580623: How many different arrangements of the word �scissors� are there?
Click here to see answer by Edwin McCravy(20054)

Question 580622: How many different arrangements of the digits �2012� are there?
Click here to see answer by dfrazzetto(283)

Question 580727: There are 20 students in a fraternity. In how many ways can a committee of 11 students be selected?
Click here to see answer by stanbon(75887)

Question 580715: A restaurant offers 6 salads, 3 soups, 5 entrees, 4 desserts, and 6 beverages. if you choose one from each category, how many different meals can you order?

I'm not sure how you would do this,would you take 6x3x5x4x6 and just multiply them?

Click here to see answer by scott8148(6628)

Question 580732: how do I calculate 20! on my calculator?
Click here to see answer by Alan3354(69443)

Question 580752: Where and how do I locate the "!" on my TI-83 calculator?
Click here to see answer by scott8148(6628)

Question 580761: How many of the numbers from 10 through 85 have the sum of their digits equal to a perfect square?
Click here to see answer by KMST(5328)

Question 581450: In a class boys stand in a single line. One of the boys is 19th in order from both the ends. How many boys are there in the class?
Click here to see answer by rfer(16322)

Question 581670: DNA (deoxyribonucleic acid) is the basis of most genes. DNA is made of nucleotides. Each nucleotide can contain any one of these four nitrogenous bases is a linear sequence: A (adenine), G (guanine), C (cytosine), T (thymine). If an experimenter wishes to create a gene with a sequence of 9 bases, where bases can be repeated and order matters, how many different sequences are possible?
Click here to see answer by jim_thompson5910(35256)

Question 581671: A lotto is conducted where you have to choose 4 numbers from 1 to 17 (no repetition of numbers allowed). If your combination of numbers matches the one drawn, you win the grand prize. How many different combinations of numbers are there for this lotto? (Hint: order does not matter)
Click here to see answer by stanbon(75887)

Question 581624: In how many ways can four married couples attending a concert be seated in a row of eight seats if:
(a) There are no restrictions?
(b) Each married couple is seated together?
(c) The members of each sex are seated together?
Click here to see answer by sudhanshu_kmr(1152)

Question 581914: The probability that chester will find the hidden treasure is 7/10 what are the odds that cheaster will find the hidden treasure
Click here to see answer by stanbon(75887)

Question 581919: How many ways can you arrange the letters in the word graph?
Click here to see answer by jim_thompson5910(35256)

Question 582432: how many 6 digit combinations of the numbers o-9 can be made
Click here to see answer by Alan3354(69443)

Question 582604: a computer manufacturer offers a computer with a choice of 3 types of monitors, 6 types of keyboards, and 3 types of hard drives. How many different computers are offered?
Click here to see answer by jim_thompson5910(35256)

Question 582198: A student planning her curriculum for the upcoming year must select one of four business courses, one of five mathematics courses, two of eleven elective courses, and either one of two history courses or one of five social science courses. How many different curricula are available for her consideration?
Please help! Thank you!
Click here to see answer by KMST(5328)

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