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

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Question 773522: Nineteen identical ball bearings are to be randomly shared by two girls and three boys anyhow. In how many ways can the ball bearings be shared in such a way that the boys will receive one ball bearing each and the rest go to the girls?
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Question 773733: the sum of x+y=131. twice of one number is 5 less than other. find the number
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Question 773926: In how many ways can the letters of the word"PAYMENT" be arranged? How many of these arrangements begin with a P? How many will begin with a P and end with a T? How many of these have Y and M together?
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Question 773988: In how many ways can a committee size of 6 be formed from 17 people? Assume that, when people are chosen for a committee, the order of the choices does not matter.
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Question 774007: Given 12 women and 15 men, in how many ways can they be arranged in a queue with all women seated in front of men?
Please help
Thank you.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 774022: How to allot 40 people in 7 rooms ???? The no. Shld b in odd no
Only

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Question 774171: how can you arrange the numbers 2,6,10,11 to equal 24?

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Question 774249: A company has 700 employees.Explain why there must be two people with the same pair of initials?
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Question 774245: From a list of eight candidates, a personnel officer has to fill one position in the marketing department and one in the customer relations department of the company. How many possible ways can the position be filled?
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Question 774250: In a taste test, a costumer is given seven brands of beer and asked to rank them in order of preference. How many different rankings are possible?

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Question 774286: In how many different ways can a committee of 4 students be chosen from 6 students? Please help.
A. 120 ways
b. 30 ways
c.15 ways
d. 1 way

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Question 774575: how do you get the answer 17 using only exactly six ones
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Question 774680: A student takes a test consisting of 5 questions. For each question, she must choose either A, B or C.
(a) How many possible ways are there for her to complete the test?
(b) How many of these possibilities include the answer A at least twice?
(c) How many possible ways are there to complete the test without ever giving the same
answer to two consecutive questions?

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Question 774943: How can I work out how many ways the 26 letters of the English language can be arranged into 4 letter sets?
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Question 775313: How many words of 4 letters can be formed with the letter a,b,c,d,e,f,g and h. If e & f are always include, letters are not repeated.
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Question 775321: How many different ways are there of picking 2 cards one after the other, from the deck of 52 playing cards if the first is not returned to the deck?
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Question 775364: consider words of length 10 which only contain letters from the set {a,e,i,o,u,r,s,t,v,w}, suppose repetition of letters is not allowed.
1. how many different words of length 10 are there?
2. how many different words of length 10 are there if the consonants i.e. r,s,t,v,w and the vowels i,e, a,e,i ,o, u must alternate
3. how many different words of length 10 are there if all five vowels must be adjacent in each word?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 775270: How many 4 letter words (doesn’t matter if they are nonsense) can be made from the letters AABBCD?
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Question 775889: In how many ways can the letters of the word "ECONOMICS" be arranged if the letters O and C are identical
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Question 775939: Three vehicles (one blue, one green and one grey) with a carrying capacity of
12 passengers each are to be used to ferry 30 international tourists and 5 local
tourists (who are a family) from OR Tambo Airport to Soweto. If the logistics manager randomly assigns the tourists to the vehicles, in how many ways can the local tourists use the same vehicle?

Click here to see answer by psbhowmick(878) About Me 

Question 776063: How many ways can we form a squad of 3 from 6 men and 5 girls, if precisely two men are on the team, but two girls and a men can't be together.
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Question 776063: How many ways can we form a squad of 3 from 6 men and 5 girls, if precisely two men are on the team, but two girls and a men can't be together.
Click here to see answer by gohan112(1) About Me 

Question 776097: 1) There exists a 5 digit number N with distinct and non-zero digits such that it equals the sum of all distinct three digit numbers whose digits are all different and are all digits of 'N'. Then the sum of the digits of 'N' is a necessarily?
Answer options:
(a) Perfect Square (b) Cube (c) Even (d) None of these

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Question 776294: There are 7 points in a plane, no three of them being collinear. The number of triangles
formed by using these points are:

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Question 776250: From 6 boys and 4 girls, a committee of 5 is to be chosen so as to include 3 boys. In how many ways can this be done? Thank you in advance .
Click here to see answer by oscargut(2103) About Me 

Question 776329: In a party 15 people shake their hands with each other. How many times did the hand-shake take place?

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Question 776775: I have 15 zones and 15 auditors, each auditor must audit a zone each week until they audit all zones. But they can not audit their own zone. I need a table of what zone each auditor will audit each week.
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Question 776843: The maximum combinations for three girls and three boys
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Question 777074: In a group of 7 boys and 8 girls, two people are chosen at random.What is the probability that a girl is chosen first then another girl chosen second.
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Question 777249: how many distinct permutations can can be made from the letters of the word eternally?
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Question 777395: A group of 2 senators is chosen to be part of a committee, Is it selection, permutation or a combination of selection and permutation or neither ?
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Question 777739: a person planning her schedule for the day, has 5 places to go, in how many different orders can she arrange her schedule?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 777922: how many outcomes are there if five different cards are drawn from a standard deck of 52?
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Question 777926: every telephone number consists of 7 digits .how many telephone numbers are there which do not include any other digits but 2,3,5,7
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Question 778331: Given the normal distribution of children's ages in a preschool educational program where the mean is 4 years and the standard deviation is 1 year, what is the probability of randomly selecting an age between 4 and 5? what is the z standard score of an age 5? what is the percentage of ages 5 and over? what is the probability of randomly selecting an age 2 and under?

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Question 778451: six children have to form a queue. in how many ways can they be arranged?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 778414: In 2 945 214, the digit 9 stands for
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Question 778532: A person has 12 friends of whom 8 are relatives .In how many ways can he invite 7 guests such that 5 of them are relatives? Please kindly give me ur solution.
Thank you

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Question 778635: 1. How many 5-letter sequences(formed from the 26 letters in the alphabet, with repetition allowed contain exactly one A and exactly two Bs?
2. How many ways are there to pick a man and a women who are not husband and wife from a group of n married couples?

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Question 778735: 5 girls: Andrea,Betty,Joyce,Karen,and Paula are starters on their school basketball team. How many different groups of three can be chosen for a newspaper photo?
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Question 779228: A round table confrence is to be held between 20 delegates of 2 countries.in how many ways can they be seated if two particular delegates are:(a) always together (b) never together.
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Question 781299: how many ways can a class of 21 students select 2 of its members as class representative for student government
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Question 781370: Find the number of ways to fill up the positions of the mayor and vice mayor if there are four candidates for mayor and three candidates for vice mayor?
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Question 781389: OUT OF 8 LADIES AND 7 GENTS, 3 LADIES AND 4 GENTS ARE SELECTED FOR A COMMITTEE. PROVIDED THAT MRS. X WILL NOT JOIN COMMITTEE IF MR. X JOINS THE COMMITTEE.
THEN IN HOW MANY WAYS THE SELECTION IS POSSIBLE ???

Click here to see answer by edjones(8007) About Me 

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