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

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Question 584053: In how many ways can you select 4 essay questions out of 10? I just need a basic formula to begin this problem! Thanks....
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Question 584072: (a+3)(a-6)
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Question 584791: A student planning her curriculum for the upcoming year must select one of three business courses, one of five mathematics courses, two of seven elective courses, and either one of four history courses or one of three social science courses. How many different curricula are available for her consideration?
Click here to see answer by Theo(13342) About Me 

Question 584822: A company car that has a seating capacity of seven is to be used by seven employees who have formed a car pool. If only four of these employees can drive, how many possible seating arrangements are there for the group?
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Question 585050: Here is a word problem:
In order to guarantee all emergency phone calls are received, the phone company wants all phone numbers with a 9 followed by two 1's to be routed to the 9-1-1 emergency help center. This will ensure that any real emergency victims will still get the help they require regardless of whether or not they accidentally hit extra keys. The digits 9-1-1 do not need to be consecutive but they do need to be in that order (e.g. 197-8141 and 009-1211) would get routed to 9-1-1, but 514-9313 would not, since the 9 is only followed by a single one. How many 7-digit phone numbers would not be able to be used since they would be routed to the 9-1-1 emergency center? Assume all 7-digit phone numbers are available from 000-0000 to 999-9999.

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Question 585130: If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight.
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Question 585468: You wish to select a committee of president, vice president and secretary from a pool of 55 people. In how many ways can this committee be chosen?
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Question 585674: how many different arrangements are there of the letters p,m,s,a
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Question 585718: how many 3 card poker hands can be dealt from a standard deck of 53 playing cards?
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Question 585723: Suppose you flip a coin 3 times, and record the sequence of heads and tails that appear. You win $3, if three heads appear, $2 if two heads appear, and $1 if one head appears, but lose $10 if no heads appear. Is this game fair? why or why not, and what is the expected value?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 585884: The digits of the locker combination consist of 3 one digit numbers, 1-9. If the digits are not repeated, what is the probabiliity of the combination being 1, 2, 3?
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Question 585884: The digits of the locker combination consist of 3 one digit numbers, 1-9. If the digits are not repeated, what is the probabiliity of the combination being 1, 2, 3?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 586156: 9. You have a collection of six numbered balls; 1 through 3 are blue and 4 through 6 are green. How many different arrangements of these balls in a line are possible?
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Question 586353: how many 2 person committees can be chosen from a group of 5 people?
Click here to see answer by richwmiller(17219) About Me 

Question 586397: . In how many ways can the three letters A, B, and C be arranged?

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Question 586698: how many different license plates are possible with 2 letters followed by 2 digits (1-9) followed by 3 letters
Click here to see answer by ad_alta(240) About Me 

Question 586888: If a bank has 10 tellers, 1 hispanic, 2 Asian, and 7 Caucasians how many combinations of 3 can be created for a conference?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 587984: I have five fields (first name, last name, number, location and age) which can be used to search for a person in a database. Any number of these parameters can be used in any combination, i.e a person can be searched for by only first name or by a combination of first name, location and age and so on (although 0 parameters are not allowed). How many different combinations are there a user could search for?
Am I correct thinking that there is 5 ways to search, either 1 or 2 or 3 or 4 or 5 parameters are specified. If only 1 parameter is given, there is 5 ways this parameter could be specified. If 2 parameters are given there are 10 ways of doing this, if three parameters are given they can be chosen in 10 different ways, if 4 parameters they can be chosen in 5 different ways, if 5 parameters only one possibility exist. This leads to a total number of combinations of (5*10*10*5*1)=5^6?

Click here to see answer by scott8148(6628) About Me 

Question 588108: Using the letters from the word EQUATION, how many five-letter patterns can be formed in which Q is immediately followed by U?
please show all work! Thanks!

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Question 588171: A four-digit number is to be formed using the digits 2,3,4,5,6,7, and 8 with no
digit used more than once in a number. What is the probability that the number
so formed with be even or more than 7000?

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

Question 588172: A security code consists of four different letters chosen from the 26 in alphabet, order being important. For example, QCDK. Given that the code does not contain any vowels what is the probability that it will contain an X?
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Question 588370: You have 25 students in your class. How many outcomes are possible if one person is chosen as president and one is chosen as vice-president for your class?
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Question 588541: Each switch in a system of six switches can be either on or off. A power surge randomly resets the six switches. What is the probability that this random setting for the system is one in which the first two switches are both in the on position?
Click here to see answer by Theo(13342) About Me 

Question 588548: To make a two letter code the first letter is chosen from the set of vowels and the second letter is chosen from the 26 letters of the alphabet.How many of this codes, (a)end with D. (b)start with an E and end with a D. (c)start with an E or end with a D. (d)start and end with the same letter.
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 588640: the odds are 3:5 that it will snow tomorrow. what is the probability that it will not snow tomorrow?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 588845: How many premutations of three items can be selected from a group of six? Use the letters A, B, C, D, E, and F to identify the items, and list each of the permutations of items B, D, and F.
Click here to see answer by edjones(8007) About Me 

Question 589622: How many combination of three numbers there are in 1-20 numbers?

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Question 589615: Question 1. Joyce is picking out material for her new quilt; she needs 11 different fabrics. At the fabric store, there are 7 solids, 6 striped prints, 4 plaids, and 4 floral prints that she can choose from. How many different ways can she choose the fabrics if she wants all 7 solids?
Question 2. Raul wants to custom order 4 collars for his 4 unique dogs. A custom ordered is tailor fitted to a pet and comes in a choice of 5 different colors.
How many selections of collars for the 4 dogs are possible if repetitions of colors are allowed?
How many selections of collars are possible if repetitions of colors are not allowed?

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

Question 590489: jenna picks 30 cds to play from a collection of 35 how many different combinations of the 30 cds are there

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Question 590488: In how many ways can a 10-Question true/false test be answered?
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Question 590510: You are allowed to omit two out of 12 questions on a quiz. How many ways can you select the questions to omit? Can you please show the break down of the work so I can figure out the formula
Click here to see answer by scott8148(6628) About Me 

Question 590617: These 3 problems are causing me stress as I can barely understand the elimination and substitution methods for working these.
For the systems of linear equations
Determine how many solutions exist
Use either elimination or substitution to find the solutions (if any)
Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
y = 2x + 3 and y = -x - 4
2x + 3y = 8 and 3x + 2y = 7
I have more questions like these, but I think if I could please receive some help I could get a better idea of how to work the rest of them. Even if no one answers this thanks for reading, sincerely me

Click here to see answer by Theo(13342) About Me 

Question 590870: how many ways can the letters in 'Alaska' be arranged?
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Question 590973: you are taking a multiple choice test that has 7 questions.Each of the questions have 5 answer choices, with one correct answer per question. If you select one choice for each question and leave nothing blank, in how many ways can you answer the question?
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Question 591710: A student's PID is a sequence of six digits. How many different PID numbers are possible? The answer is 1,000,000 but how do I get the answer?

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Question 592067: two cards are drawn at random from a standard deck of 52 cards, without replacement. what is the probability of drawing a 7 and a king in that order?
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Question 592357: (2x^2+3x-5)/(2x-2)
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Question 592783: If there are seven junior students and ten senior students, how many combinations of students can form a committee of six students if at least one student is a senior student.
I thought it was 10C1 x 16C5 , but apparently that's wrong?
Please help me!

Click here to see answer by scott8148(6628) About Me 
Question 592783: If there are seven junior students and ten senior students, how many combinations of students can form a committee of six students if at least one student is a senior student.
I thought it was 10C1 x 16C5 , but apparently that's wrong?
Please help me!

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

Question 592779: what does n equal when n-2/3=5 1/6
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Question 592845: there are 4 teams in a league. How many different ways can they end the season in 1, 2, 3, 4 place? You may want to use A, B, C, D to represent the four teams. You must make a list showing all the different ways.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 592850: How many ways can three people be selected from a group of seven? Is that a combination or permutation?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 592874: A telemarketing firm has 35 applicants for 8 identical entry-level positions. How many ways can the firm choose 8 employees? Is it a permintation or a combination?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 593309: Will you please show me the steps for getting from a = 500 - (n-1)a/2 to a = 1000/n+1?
Click here to see answer by scott8148(6628) About Me 

Question 593937: How to find the number of ways 12 students can be divided into 2 groups of 8 students and 4 students
Click here to see answer by sudhanshu_kmr(1152) 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