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

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Question 629297: A certain committee consists of 11 people. From the committee, a president, a vice-president, and a secretary are to be chosen. In how many ways can these 3 offices be filled? Assume that a committee member can hold at most one of these offices.
Click here to see answer by ewatrrr(24785)

Question 629283: How many 5 letter passwords r possible if repetition is not allowed
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Question 629516: A box contains 7 red balls, 5 white balls and 3 green balls. How many three balls can we select such that there are two exactly green?
Click here to see answer by reviewermath(1029)

Question 629516: A box contains 7 red balls, 5 white balls and 3 green balls. How many three balls can we select such that there are two exactly green?
Click here to see answer by arjay(1)

Question 629555: A commite of 5 is to be form from a club membership of 7 men and 6 women. In how many ways can this committee be selected such that there are 2 women in the committee
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Question 629773: How many three-letter permutations can be formed from the first seven letters of the alphabet?
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Question 629770: a test consist of eight multiple choice questions, with each questions having three possible answers. In how many different ways can a student check off one answer to each question?
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Question 630231: in a class there are 5 male and 5 female students. they want to elect a president and a secretary. in how many ways they can be elected
Click here to see answer by nerdybill(7384)

Question 630320: I have 5 balls
I can arrange the balls in 1 group of 5 balls (5)
If a I divide the 5 balls in two groups they can be arranged (1,4) (4,1) (2,3) (3,2)
If a I divide the 5 balls in three groups they can be arranged (1,1,3) (3,1,1) (1,3,1)
If a I divide the 5 balls in four groups they can be arranged (1,1,1,2) (2,1,1,1) (1,2,1,1) (1,1,2,1)
If a I divide the 5 balls in five groups they can be arranged (1,1,1,1,1)
Always the number of balls used is five.
Total number of arrangements = 13
How can I calculate the number of arrangements for n number of balls ?
Thanks

Click here to see answer by Edwin McCravy(20054)

Question 630755: how many 3 digit numbers are possible from numbers 1 to 7
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Question 630852: 5 students are trying out for a team. only 3 students are needed. in how may ways can 3 students be chosen from the 5?
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Question 630929: How many different arrangements of 4 letters can be formed if the first letter must be W or K (repeats of letters are allowed)?
Click here to see answer by stanbon(75887)

Question 630972: My question has to do with gambling. Lets say i chose 5 football matches. There is what we call combination i.e accumulation of matches for higher returns. So lets say i wanna combine 3 matches together out of the 5 matches, in how many different combo can i achieve this without repetition? Thank you.
Click here to see answer by Alan3354(69443)

Question 631015: a club is compose of 10members wish to elect officers from president to treasurer .how many sets of officer is possible?
Click here to see answer by nerdybill(7384)

Question 631028: out of 6 boys and 4 girls, a committee consisting of 3 boy and 2 girls is to be formed, a)how many committee are possible? B)if boy rejects the offer to serve in the committee c) if 1 boy refuse to serve on the same committee with one particular girl, how many committee are now possible
Click here to see answer by ewatrrr(24785)

Question 631249: PIRATED OR NOT
Your DVD collection consists of 15 movies, 5 instrumental and
8 sitcoms. How many ways is it possible to place all DVD�s on a
shelf if the DVD�s of the same type are grouped together? If
you grab 8 of the DVD�s, how many ways can get 4 movies or 4
sitcoms?
Click here to see answer by stanbon(75887)

Question 631248: ICE CREAM TRIPLE SCOOPER
A true triple � scooper of ice cream is three scoops, each of
different flavours, served in a dish. How many different triples
could you get at ice castles if ice castles serve 31 different
flavours of ice cream?
Click here to see answer by solver91311(24713)

Question 631374: How many three different letter combinations can be formed in the English alphabet?
Click here to see answer by 303795(602)

Question 631390: A club with 10 members wants to choose a president and vice president. How many different possibilities are there?
I am stuck trying to figure this one out. Thank you for your help in advance.
Click here to see answer by tutor_paul(519)

Question 631511: find the number of ways eight people can be seated in an eight passenger van
Click here to see answer by Tatiana_Stebko(1539)

Question 631516: find the probability of rolling a die three times and rolling a 2 each time
Click here to see answer by jim_thompson5910(35256)

Question 631516: find the probability of rolling a die three times and rolling a 2 each time
Click here to see answer by dfrazzetto(283)

Question 631520: suppose that you are drawing cards from a set of 6 cards, the colours of which are red , blue, orange,yellow, pink, and green. What is the probability of drawing a red card followed by a blue card without replacement?
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Question 631526: find the number of ways 4 bikes be placed on a bike rack with 12 spots
Click here to see answer by Tatiana_Stebko(1539)

Question 631246: How many different ways can class officers be selected if
there are three candidates for President, four candidates for
Vice President, and seven candidates for Secretary?
Click here to see answer by KMST(5328)

Question 631247: A company is considering bids submitted by seven
different firms for three different contracts. In how many ways
can the contracts be awarded among the firms if no firm is to
receive more than two contracts?
Click here to see answer by KMST(5328)

Question 631862: a meal at a certain restaurant consist of 3 entrees chosen from group of 15 possible entrees. Find the number of possible meal combinations
Click here to see answer by graphmatics(170)

Question 631871: how many ways can you order a hamburger if you can order it with or without cheese, lettuce, tomatoes, pickles or onions?
Click here to see answer by Edwin McCravy(20054)

Question 632060: A person can purchase a condominium with a choice of five kinds of carpeting, with or without a pool, with or without a porch, and with one, two, or three bedrooms. How many different options are there for the condominium?
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Question 632220: How many different student body governments are possible if there are 4 seniors, 5 juniors, and 3 sophomores running for the student body offices of senior class president, junior class president, and sophomore class president?
Click here to see answer by stanbon(75887)

Question 632221: Find the number of 7 digit phone numbers that can be formed if the first three digits come from the numbers 1 to 3 and the last four digits come from the numbers 1 to 9
Click here to see answer by graphmatics(170)

Question 632277: at a local resaturant a new dinner menu is available that offers 4 courses an appetizer a salad a main dish and a dessert all for one price there are 7 appetizers 2 salads 4 main dishes and 4 desserts how many dinner outcomes are possible
Click here to see answer by rapaljer(4671)

Question 632578: A student taking an examination is required to answer exactly 10 out of 15 questions.

a. In how many ways can the 10 questions be selected?
b. In how many ways can the 10 questions be selected if exactly 2 of the first 3 questions must be answered?

Click here to see answer by reviewermath(1029)

Question 632814: how many even numbers of four different digits each can be formed from the digits 3,5,6,7,9
Click here to see answer by josmiceli(19441)

Question 632886: In how many ways can 3 boys and 5 girls be arranged in a row so that all the 3 boys are together
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Question 632962: In how many ways can five couples be seated in a row of 10 chairs if no couple is seperated?
Click here to see answer by stanbon(75887)

Question 633024: an ice cream store sells 23 flavors of ice cream, determine the number of 4 dip sundaes. how many are possible if order is not considered and no flavor is repeated?
Click here to see answer by graphmatics(170)

Question 633398: how many ways can we arrange four girls and three boys in a row if the girls are to seat side by side?
Click here to see answer by ewatrrr(24785)

Question 633397: how many ways can we arrange four girls and three boys in a row if the girls are to seat side by side?
Click here to see answer by ewatrrr(24785)

Question 633541: Assume a class has 26 members. How many committees of 12 can be chosen?
Click here to see answer by Edwin McCravy(20054)

Question 633751: MicroCorp will hold its annual company picnic next week and will assign 3 planning duties to its employees.One person selected will reserve a venue,another will arrange catering,and a third will plan activities.There are 10 employees eligible to fulfill these duties,and no employees can be assigned more than one duty.How many different ways are there for duties to be assigned to employees?
Click here to see answer by jsmallt9(3758)

Question 634032: How many 6 digit numbers can be made from 2 different digits (e.g. 3 and 7 = 333777, 373737 etc).
Also, is there a simple way to work this out?
Thank you
Caitlan Smith
Click here to see answer by Alan3354(69443)

Question 634493: how many 4 person committes can be made wih 18 people
Click here to see answer by stanbon(75887)

Question 634501: pls show how is (n)!.(n+2)=(n)!+(n+1)!
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