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

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Question 967549: A diving team has 9 memebers. How many different ways are there that the coach can pick the line up
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Question 967549: A diving team has 9 memebers. How many different ways are there that the coach can pick the line up
Click here to see answer by ikleyn(52780) About Me 

Question 967809: Can you please help me solve this question. 2) There are 80 athletes at a meeting. They each give a Valentines Day card to everyone else. How many Cards were givin?
Click here to see answer by rothauserc(4718) About Me 

Question 967810: Can you help me solve this problem please? You are setting the combination on a five-digit lock. You want to use the numbers 1,2,3,4,5 but don't care what oder they are in.
Click here to see answer by checkley77(12844) About Me 

Question 967817: I want to put a tennis schedule together. There will be 12 players or six double teams. I need a schedule that in 11 matches no one plays anyone twice.
Click here to see answer by Theo(13342) About Me 

Question 967895: Jeanone baker makes floral arrangements she has 14 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are possible
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968139: How many ways can you line up 7 cards?

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Question 968390: how many ways can four finalists for a job be selected from ten interviews?
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Question 968390: how many ways can four finalists for a job be selected from ten interviews?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968384: If you were to draw a 5-card hand from a standard deck of 52 cards, what is the probability that it will have 3 face cards (from the 4 jacks, 4 queens, and 4 kings)?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968144: Please help me solve this question:Five people are to be arranged in a row for a photograph.How many arrangements are there if a married couple in the group insists on sitting next to each other?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968531: On a test, a student is to select 11 out of 13 questions. In how many ways can this be done?
Click here to see answer by Alan3354(69443) About Me 

Question 968305: A security code consists of 3 digits (0–9), and a digit may not be used more than once. How many possible security codes are there?

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Question 968913: How many ways can a president, vice president, and secretary be elected from a group of 8 people
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968851: A design requires six distinct interchangeable blocks named A,B,C,D,E and F. In how many ways this design can be assembled. If blocks DEF are together.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968636: From a group of 6 women and 5 men, a committee of 4 is to be selected at random. Find P(4 women).
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968850: A design requires six distinct interchangeable blocks named A,B,C,D,E and F. In how many ways can this design can be assembled?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 969221: Problem 8. In a television studio there are 3 directors, 4 sound engineers, 5 operators, 7 correspondents and 2 music editors. In how many ways can you make a film crew consisting of one director, two operators, one engineer and two correspondents?

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Question 969222: It is needed to select the monitor and three members of student committee of the group of 25 people. In how many ways this can be done?

Click here to see answer by amarjeeth123(569) About Me 

Question 969100: _+_+_=30
Fill the blanks using
(1,3,5,7,9,11,13,15)
You can also repeat the number

Click here to see answer by Fombitz(32388) About Me 

Question 969133: There are 100 students in the senior class. How many ways can 6 students be chosen to decorate for prom?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 969256: A restaurant menu offers 8 different sandwiches and 5 side dishes. How many lunch combinations can you order?
Click here to see answer by stanbon(75887) About Me 

Question 969224: 9 people are standing in the queue to the cash-desk (three men, four women and two children). What is the probability that two children and one woman will be standing between some two men?

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

Question 969214: Joint meeting of the company elects the president, chairman and 10 members of the Board of Directors from 50 employees. In how many ways can this be done?

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Question 968735: there are 20 different stations on a single railway line, in how many ways a single ticket can be made so that a person can go from one station to another?

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

Question 969131: A multiple choice test has 10 questions. Each question has four answer choices.
a. What is the probability a student randomly guesses the answers and gets exactly six questions correct?
b. Is getting exactly 10 questions correct the same probability as getting exactly zero correct? Explain.
c. Describe the steps needed to calculate the probability of getting at least six questions correct if the student randomly guesses. You do not need to calculate this probability!
It would be greatly appreciated if you could show work as to how to solve these, thanks!

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

Question 969316: determine the number of three letter arrangements that are possible with the letters in the word phone if each arrangement must begin and end with a different vowel and have consonants in the middle.
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Question 969733: If Ax + By = Cz, where A, B, C, x, y and z are positive integers and x, y and z
are all greater than 2, then A, B and C must have a common prime factor. Can you
write a rock-solid mathematical proof that it's always true?

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

Question 969697: 5 persons are sitting in a round table in such way that tallest person is always
on the right side of shortest person,the no of such arrangements is

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Question 968635: From a group of 6 men and 4 women, a committee of 4 is to be selected at random. Find P(4 women).
Click here to see answer by Edwin McCravy(20054) About Me 

Question 968562: A team of 4 students is to be selected for a competition. There are 8 boys and 12 girls to choose from. If the team is to include atleast 1 girl and 1 boy, how many ways can a team be selected?

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

Question 969829: If there are 20 people waiting on the bus stop and you are driving your car, you stop and take with you 3 out of 20 on the bus stop (3 different people). But, it matters who sits on the front seat, and for the 2 other people who will seat on the back, ordering doesn't matter. How many combinations can be ?!
Click here to see answer by AnlytcPhil(1806) About Me 

Question 969909: What is the solution to: P(n,n-1)
So far I'm at n!/(n-(n-1))!

Click here to see answer by MathLover1(20849) About Me 

Question 970097: An employer interviews
10
people for
5
management positions in a company, and
5
of the
10
people are men. If all
10
are qualified, in how many ways can the employer fill the management positions if exactly
2
are men?

Click here to see answer by Boreal(15235) About Me 

Question 970012: 3 names will be picked from a jar to be on a team. There are a total of 9 names in the jar. How many different combinations of names can be pick?
Click here to see answer by KMST(5328) About Me 

Question 970210: Hi,
Please can you tell me how many different combinations there are to the following question:
Write all the four-digit even numbers greater than 5000 that can be made using these digits. You may only use each digit once in a number.
2 4 6 5 8
My friend found 12 combinations, my daughter 24 and so far I'm up to 27!!
Please help...
Thanks
Kirsty

Click here to see answer by AnlytcPhil(1806) About Me 
Question 970210: Hi,
Please can you tell me how many different combinations there are to the following question:
Write all the four-digit even numbers greater than 5000 that can be made using these digits. You may only use each digit once in a number.
2 4 6 5 8
My friend found 12 combinations, my daughter 24 and so far I'm up to 27!!
Please help...
Thanks
Kirsty

Click here to see answer by josmiceli(19441) About Me 

Question 970020: a letter is selected at random from the word HOLLYWOOD
a)What is the sample space for the experiment
b) Describe the event the letter chosen is a vowel as a subset of the sample space.
I'm really at a loss :(

Click here to see answer by AnlytcPhil(1806) About Me 

Question 970303: A five password is to contain three digits and two capital letters with no characters repeated e.g 7A3B5,234DE,E178F but not 7A3A5,7231B........How many passwords are there?
Click here to see answer by Fombitz(32388) About Me 

Question 970351: Show that C(n,r)= C(n-1,r-1)+C(n-1,r)

NOTE: Professor said that you can start in either left side or right side

Click here to see answer by jim_thompson5910(35256) About Me 

Question 970746: In how many ways can a committee consisting of

2
faculty members and

4
students be formed if there are

7
faculty members and

8
students eligible to serve on the committee?

Click here to see answer by Boreal(15235) About Me 

Question 970745: In how many ways can a committee consisting of

2
faculty members and

4
students be formed if there are

7
faculty members and

8
students eligible to serve on the committee?

Click here to see answer by stanbon(75887) About Me 

Question 970789: A gamming website requires that the gamers create a pin to access their account. The pin must be 2 letters followed by 2 numbers. How many unique pins are there?
Click here to see answer by Alan3354(69443) About Me 

Question 970793: Tims goal is to run one marathon in each of the 50 states. To determine the order in which he will run the marathons, he will write the name of each state on a slip of paper and place the slips of paper in a bowl. He will then draw the names of the state's one at a time from the bowl until all the slips of paper have been drawn.
If there are 26 states east of Mississippi River and 24 states west of the Mississippi River what is the probability that the tire state drawn will be east of the mississippi, GIVEN THAT the first one drawn was east of the Mississippi and the second one drawn was west of the mississippi?

Click here to see answer by Boreal(15235) About Me 

Question 970797: Julian is looking at 6-digit locks for his football locker. How many diffrent codes are possible if no digit can repeat?
Click here to see answer by AnlytcPhil(1806) 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