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

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Question 895187: Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question.
A club with 33 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Click here to see answer by Theo(13342)

Question 895304: How many different groups of 3 can you make you make with 22 students?
Click here to see answer by jim_thompson5910(35256)

Question 895493: Prove that C(n,0) = 1
Click here to see answer by Edwin McCravy(20054)

Question 895093: 1149 people are in an auditorium. Based on that fact alone, we know at least n of them were born in a year with the same last digit.
What is n?
Click here to see answer by richard1234(7193)

Question 895652: How many integers between 10 and 100 can be formed by the digits 1,2,3,4,5 if no repetition is allowed? How many can be formed if repetition is allowed?

Click here to see answer by Edwin McCravy(20054)

Question 894675: the value of (n+1)(n+2)(n+3)........(2n)is
Click here to see answer by Edwin McCravy(20054)

Question 895683: There are six essay questions on the history test, lettered a,b c d e and f. If you can choose anyone of the 6 questions to answer how many different selections can u make
Click here to see answer by richwmiller(17219)

Question 893323: Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question.
A club with 28 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?
Click here to see answer by Edwin McCravy(20054)

Question 896080: If repitition is not allowed, how many 3-digit numbers can be formed from the digits 0,1,2,3,4,5 are less than 400?
Click here to see answer by josmiceli(19441)

Question 896089: In how many ways can a research team of 5 members be formed from a group of 10 scientists consisting of 3 chemists and 7 physicists if the team must include exactly 2 chemists?
Click here to see answer by jim_thompson5910(35256)

Question 896212: A club can elect a member as president and another member as treasurer in 506 different ways. How many members does the club have?
Click here to see answer by jim_thompson5910(35256)

Question 896341: there are 20 books of which 4 are single volume and the other are books of 8,5 and 3 volume respectively? In how many ways can all these books be arranged on a shelf so that the volume of same book are not seperated?
Click here to see answer by richwmiller(17219)

Question 896349: A teacher has 17 boys and 19 girls in her class. In how many ways can she select 4 of the children to be in play if she must choose 2 boys and 2 girls.
Click here to see answer by stanbon(75887)

Question 896342: In how many ways can we place 7 apples in a circle?
Click here to see answer by harpazo(655)

Question 896483: How many five digit numbers can be formed from 1through to 22
Click here to see answer by Alan3354(69443)

Question 896482: How many five digit numbers can you get from 1
To 22
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Question 896794: Find the numbers of 4-lettered words that can be formed using the letters of the word BOOKLET?
Click here to see answer by JulietG(1812)

Question 896910: If i have these numbers 1,3,5,7,9,11,13,15 and i want to combine them result in 30 but i dont know how so i need the answer please reply me very fast
Click here to see answer by Alan3354(69443)

Question 897333: In how many ways three integers be selected from integers 1,2,3,...30, so that there sum is even.
Click here to see answer by Fombitz(32388)

Question 897853: Three maths books, four science books, two geography books and three history books are to be placed on a bookshelf. The books are all different.
a) In how many ways can the books be arranged on the shelf? (i got this part, its 479001600)
b) In how many ways ca the books be arranged so that the books of the same subject are grouped together?
Thank you in advance!

Click here to see answer by ewatrrr(24785)

Question 897931: n!/(n-1)!=5
Click here to see answer by jim_thompson5910(35256)

Question 897931: n!/(n-1)!=5
Click here to see answer by stanbon(75887)

Question 898069: How could you find the number of different combinations of 6 letters in a computer password

Click here to see answer by stanbon(75887)

Question 898148: IF you have a standard deck of cards in how many different hands exist of
a) 5 cards b) 5 red cards.
How many different hands just has me completely baffled - I do not know what that means -

Click here to see answer by Fombitz(32388)

Question 898146: If you have a standard deck of cards how many ways can you deal out
a) 5 cards b) 5 red cards
I think this a a combination problem - I did this
a) C(52,5) b) C(26,5)
Click here to see answer by Theo(13342)

Question 898216: In How many ways can a panel of 5 students to be seleCted from 8 kids .if a particular student iS included?
Click here to see answer by ewatrrr(24785)

Question 898728: in how many ways we can give 15 math books to 10 students so that every student get at least 1 book
Click here to see answer by INerdOut(1)

Question 898938: How many different sets of 2 jurors can be selected from the group of seven?
List the sample space using A, B, C, and D for the men and J, K, L for the women.
Click here to see answer by jim_thompson5910(35256)

Question 898983: using all the letters, find the number of different strings that can be formed from the word:
PINEAPPLE
Click here to see answer by ewatrrr(24785)

Question 899600: In how many ways can a president and vice president be selected from a club consisting of 12 people?
(Assume that these 2 positions cannot be occupied by the same person.)

Click here to see answer by ewatrrr(24785)

Question 899619: A teach has to choose a team of 4 from a class of 35. There is a pair of twin brother in the class. How many possible ways can the team of 4 be formed so that it includes both of the twin brothers?
Click here to see answer by ewatrrr(24785)

Question 899713:
Click here to see answer by Edwin McCravy(20054)

Question 900694: You have 30 fair tickets and each rides cost 1through 5 tickets. How many combinations are there? Explain the equation and make a chart/graph plus show all work
Click here to see answer by Edwin McCravy(20054)

Question 900978: In how many ways can a group of 3 boys and 3 girls be seated in a row of 6 seats if boys and girls must alternate in the row?
Click here to see answer by josmiceli(19441)

Question 900981: a school chess team consists of 10 students. in how many ways can a team of 6 students be formed for three consecutive games, if there should be a different line-up for each game?
Click here to see answer by ewatrrr(24785)

Question 900982: find all possible pairs (a,b) of integers such that a^3=5b^3
Click here to see answer by Edwin McCravy(20054)

Question 900983: tom brought a notebook with 100 sheets and numbered its pages consecutively from 1 to 200. Jerry pulled out 43 sheets and added up all 86 page numbers written on both sides of each of the sheets. can the sum be equal to 2011?
Click here to see answer by Edwin McCravy(20054)

Question 900977: A class consists of 8 students (4 boys 4 girls) and one teacher. In how many ways can the students sit in a circle?
Click here to see answer by ewatrrr(24785)

Question 900518: there are 4 dimes, 3 nickels, and 2 quarters.
In how many possible ways can the selection be made so that the value of the coins is at least 25 cents
Click here to see answer by Edwin McCravy(20054)

Question 900671: i have to arrange 56 people in groups of 7, and these groups need to change as many times as possible, but no 2 people can be in the same group more than once. how many times can this happen, and what is an ordered way to have them switch?
Click here to see answer by Edwin McCravy(20054)

Question 900669: How many ways can 6 people be seated in a row, if Ruth must be seated in the first chair?
Click here to see answer by Edwin McCravy(20054)

Question 900200: If you are given a permutation with numbers involved, and then asked to find the combinations with even and odd sums, how would you do that

Click here to see answer by Edwin McCravy(20054)

Question 900270: find the independent term of x in the expansion of ((2x-(3/x^2))^6
Click here to see answer by Edwin McCravy(20054)

Question 901325: What is 2 more than 5 groups of 3
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