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

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Question 1009067: From a population of 50 households, in how many ways can a researcher select a sample with a size of 10?
Click here to see answer by stanbon(75887)

Question 1009177: Please help me to solve this: Find the largest number of permutation of the letters in "Mathematics"?

Click here to see answer by farohw(175)

Question 1009364: You in for friends are in line at lunch and each are selecting A beverage. there are five types of beverages available. What is the probability that all of you will select different beverages?
Click here to see answer by stanbon(75887)

Question 1009433: If I wanted to make an 8-question test using all of the questions only once how many different versions of the tests should I make
Click here to see answer by fractalier(6550)

Question 1009697: how many ways can fourteen movie premier guests sit in fourteen seats?
Click here to see answer by stanbon(75887)

Question 1009841: Say a teacher has a class of 16 students, if she wanted to assign 5 A's, 4 B's, 3 C's, 4 D's and 1 E to the students. How many different combinations of student names can be assigned to the set of letter grades
Click here to see answer by stanbon(75887)

Question 1009830: how many different numbers of 4 digits can be formed from 0,2,4,6,8 if no repitition is allowed?
Click here to see answer by ikleyn(52776)

Question 1009867: The faculty is getting ready for the senior/faculty basketball game, they have 20 interested staff. How many different ways can they pick a forward, center and guard?
Click here to see answer by Theo(13342)

Question 1009962: Use the definition of the derivative to find f ′(x) if
f(x)=x^2+x
f(x)= 1/(x-1)

Click here to see answer by Alan3354(69443)

Question 1010274: what is the evaluation for the number -12
Click here to see answer by fractalier(6550)

Question 1010367: How many odd 4-digit numbers are there (repetition is allowed)?
Click here to see answer by stanbon(75887)

Question 1010367: How many odd 4-digit numbers are there (repetition is allowed)?
Click here to see answer by Alan3354(69443)

Question 1010365: How many way's can 6 people arrange themselve's in a
photograph if 2 of them cannot be beside each other?
Click here to see answer by stanbon(75887)

Question 1010365: How many way's can 6 people arrange themselve's in a
photograph if 2 of them cannot be beside each other?
Click here to see answer by Edwin McCravy(20054)

Question 1010365: How many way's can 6 people arrange themselve's in a
photograph if 2 of them cannot be beside each other?
Click here to see answer by MathTherapy(10551)

Question 1010649: A computer password consist of a letter of the alphabet followed by 3 or 4 digits.Find the total number of password that can be formed. Also find the number of passwords in which no digit repeats.

Click here to see answer by Edwin McCravy(20054)

Question 1011085: if you know the names of the remaining 8 students in the spelling bee, what is the probability of randomly selecting an order and getting the order that is used in the spelling bee?
Click here to see answer by Theo(13342)

Question 1011202: how many number of 9 digits can be formed which have all digits different?

Click here to see answer by mathmate(429)

Question 1011387: The letters of the word "OKOTOKS" are arranged. The number of arrangements that begins and ends with a vowel is ?
Click here to see answer by Theo(13342)

Question 1011408: How to find total no of 9 digit number?
Click here to see answer by Alan3354(69443)

Question 1011597: How many strings of 10 characters, such as
ABCPE1234F
can be made such that the first 5 characters are alphabet letters,
the next 4 are digits and the last character is a letter.

Click here to see answer by mathmate(429)

Question 1011662: Five peoole are to be arranged in a row for a photogragh. How many arrangements are there if a married couple in the group insist on sitting next to each other?
Click here to see answer by mathmate(429)

Question 1011714: there are 3 judges, judging a sporting event. Each of these judges holds up a number, either 1 or a 2 or a 3. The sum of these numbers is the athletes's score.how many different scores are possible?
Click here to see answer by mathmate(429)

Question 1011775: The coach from a soccer team of 15 players must select 11 players for the start of a game.
a)Of the 11 players he must select 1 player as the field captain. How many ways can the coach make these selections?
b) Before the game, all the players line up in a straight line for a team photograph. If 2 players, Michaela and Aleah must ne together, then how many different arrangements can be made for the picture?
Click here to see answer by stanbon(75887)

Question 1011769: You are performing a cohort study. If the probability of developing disease in the exposed group is .05 for the study duration, then if you sample (randomly) 500 exposed people, how many do you expect to develop the disease?
Click here to see answer by Theo(13342)

Question 1008555: A box contains 11 transistors, 5 of which are defective. If 5 are selected at random find the probability that.
a. All are defective
b.none are defective
Click here to see answer by Fombitz(32388)

Question 1011892: What is the 50th number in the pattern 7,9,11,13,15,...?
Click here to see answer by AnlytcPhil(1806)

Question 1012293: We have to design colour code for all books in our class.we are going to have 4 straight stripes on each book. We could colour each stripe in one of six colours. it didn't matter if more than one stripe had the same colour, not even if they were adjacent. but we can't have all the stripes the same colour.how many different book we code in this way?
My answer is 1080 but book ans. Is different.....plese help me

Click here to see answer by ikleyn(52776)

Question 1012521: This is all about combination.
1. In how many ways can 6 students be seated in a row of 6 seats if 2 of the students insist on sitting beside each other?
2. In how many ways can you select 7 books out of 10 and then arrange these books on a shelf if there is space enough for only 5 books?
Click here to see answer by psbhowmick(878)

Question 1008506: A single die is rolled twice . Find the probability of rolling a 5 the first time and 6 the second time.
Click here to see answer by Fombitz(32388)

Question 1008504: The digits 5,6,7,8 and 9 are randomly arranged to form a three digit number. (digits are not repeated) Find the probability that the number is even and greater than 900.
Click here to see answer by Fombitz(32388)

Question 1012749: How many combinations of 6 person groups. 32 total persons
Click here to see answer by fractalier(6550)

Question 1012876: 2 parties each hold 6 people in how many ways can a party of 6 boys and 6 girls divide themselves so that they're equal number of boys and girls in each party?
Click here to see answer by ikleyn(52776)

Question 1013066: The question is:
15 points lie around a circle. Each point is connected to every other point by a straight line. How many lines are formed in this way?
I don't understand why the answer is 105. Shouldn't it be 14 factorial (14!) because if you think about the first point connecting it to 14 other points, then the next point 13 (because one of the paths is counted in that 14 previously) etc...
Please help
Click here to see answer by addingup(3677)

Question 1013048: as amedical officer, you are required to select five persons from agroup of 7 men and 6 women, to form a committee so that at least 3 men are there on the committee. in how many ways can it be done
Click here to see answer by ikleyn(52776)

Question 1013363: How many and what 4 digit combinations can I make from 0 1 8 9
Click here to see answer by Boreal(15235)

Question 1013380: how many 4 digit number combinations can u make out of this 4 numbers 0189 and what are they
Click here to see answer by mathmate(429)

Question 1013002: I have 9 nine numbers(7,9,22,26,35,39,41,42,46. I want to group where I have combinations of six digits each have the possibility of being the sixth digit. What will this look like? Will you display these combinations for me?

Click here to see answer by Edwin McCravy(20054)

Question 1013647: How many ways can you put 62 numbers in a row of 5?
Click here to see answer by stanbon(75887)

Question 1013647: How many ways can you put 62 numbers in a row of 5?
Click here to see answer by Theo(13342)

Question 1013630: Number are arranged in this order 1 2. 3
4 5 6
7 8 9
0 Than how many 4 digit bank number is possible?

Click here to see answer by Alan3354(69443)

Question 1013816: There are 4 rows of button like 1 2. 3
4. 5. 6
7. 8. 9
0
How many 4 digit bank numbers possible?
Click here to see answer by Alan3354(69443)

Question 1013883: a researcher collecting data on college students finds that
21 have a printer
56 have a computer and
12 have both
a) Why might a student have a printer but not have a computer?
b) If a student has a computer what is the probability that the student also has
a printer

Click here to see answer by Edwin McCravy(20054)

Question 1013817: find the number of possible passwords for a system taking 3-5 character where at lest one of the input character is a number (0-9) and the rest from lower case English alphabet.

Click here to see answer by Alan3354(69443)

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