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

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Question 481554: A student is asked to answer 9 out of 13 questions on an exam, In how many ways can she select the questions to be answered?

Click here to see answer by Alan3354(69443) About Me 

Question 481932: 1. How many 6-digit numbers containing 3,2 & 1 (repitition allowed)?
2. How many 6-digit numbers containing two 0, two 1 & two 2 can be constructed(number must not begin with 0)
3. How many 4-digit numbers in terbary numeral system containing two 0, can be constructed? (number must not start with zero.)

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Question 482206: What is the sum of the first 2,000 consecutive odd numbers? Tell whether it illustrates inductive or deductive reasoning.
Click here to see answer by Alan3354(69443) About Me 

Question 482207: A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below. How many are not using any of the three?
36 said they drove alone.
30 rode in a carpool.
32 rode public transportation.
6 used both carpool and public transportation.
4 used both a carpool and sometimes their own cars.
8 used buses as well as their own cars.
3 used all three methods.
I don't have a clue as to how to solve this. Please help!!

Click here to see answer by Edwin McCravy(20055) About Me 

Question 482473: Using the letters in the word MATH, how many 4 letter combinations can you make?
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Question 482573: A combination lock is set up in the office. The keypad is set up with numbers 0-9 and you know the combination is a 4 digit combo. You also know that numbers are not repeated in the combination. How many different combinations of 4 can be created?


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Question 482597: Jenny is making a necklace. In how many ways can 5 beads chosen from 8 be threaded on a string?
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Question 482649: . In a town I am looking to move to I found the total number of crimes was 256 and of those crimes 34 were murders. What is the percentage of murders and how did you get the answer
Click here to see answer by cleomenius(959) About Me 

Question 482651: There is a living room suit for $999.99 and I get 20% off. After taking discount I must pay 7% sales tax, what is the total cost for the living room suit with discount and tax and how did you get the answer
Click here to see answer by cleomenius(959) About Me 

Question 482650: If I get 33% off of $90, how much do I pay for the $90 worth of clothes I buy and how did you get the answer
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Question 482648: If there are 12 guys and 19 girls what is the percentage are girls in the class and how did you get the answer??

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Question 482666: Translate into an algebraic expression: Find the area of a rectangle with length of 3x and width of 2x.

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Question 482736: How many possible outcomes can come out from a 4 digit code that has 10 possible digits and can repeat. And what are the outcomes as a list?
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Question 482920: A SKYDIVING CLUB HAS 30 MEMBERS.THE CLUB MEMBERS JUMP IN PAIRS.HOW MANY DIFFERENT PAIRS OF SKYDIVERS ARE POSSIBLE.
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Question 482825: 5 digits
100 digit is 2 more then my tens digit, my ones digit is 4 more then my thousands, the sum of my number is 8

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Question 483173: 1.I make 5,000 more then 2 times Jack? How do I make this a algabraic equation?
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Question 483194: Hi, here's the question, "how many ways can 3 student representatives be chosen from 100.
Here's my work: 100C3 = 100•99•98•97! / 3! 97! But the answer didn't come out right

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

Question 483116: I have two questions
the first questions is
there are three highways from city A to city B, two highways from city B to C, and four highways from city C to D. How many different highway routes are there from city A to city D?
the second question is
In how may distinct ways can the letters of the word SCIENCE be arranged?

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

Question 483314: Please show me step by step solution, every way I try to do it, it comes out wrong. I'm going crazy now!!! ANYBODY! THANK YOU
evaluate the expression
(10) (5) (4)
(5) (4) (1)

Click here to see answer by Alan3354(69443) About Me 

Question 483360: Question:
A club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people?

Comment:
I think this is a matter of a permutation (the election of the positions) and a combination (the election of the committee), but I don't know how to solve them together. Can you help?

Click here to see answer by jorel1380(3719) About Me 

Question 483548: there are 10 alphabets a, b, c, d, e, f, g, h, i, j. How many arrangements are there where in 'a' precedes 'b' and 'c' precedes 'd'.
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 483058: I am running a league of 40 players in groups of 5
I need combinations of 5 that do not repeat so all players play against
each other once.
using 8 days over 2 weeks i will get through 40 players.
so 1 round= 2 weeks
i think i will need 9.75 rounds to complete this league
780 matches in total.
i am very week at mathmatics so any help would be appreciated

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 483850: A shipment of 11 printers contains 2 that are defective. Find the probability that a
sample of 4 printers, drawn from the 11, will not contain a defective printer.

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Question 483874: 10 kids are arranging themselves in 3 different seats(in order). How many ways can they arrange themselves?
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Question 484084: you have a total 27 members, 7 more of them are male. how many males do you have?
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Question 484245: In a shipment of 11 CD players, two are defective. Find the probability that a sample of 3 CD players will contain no more than one defective one.
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Question 484752: 1) how many 6 digits telephone numbers are there that begin with 21 and that contain 4 or 3?

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Question 484735: a class of 15 students 5 of them are female. How many ways can you select a group of 4 males
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Question 484302: How many possible eight character passwords can be created using only uppercase letters and numbers?
Since there's 26 different upper case letters and 10 different numbers, I think I should take 8 to the power of 260 (which is 26 times 10) but I'm not sure.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 484339: 1) A telephone number consists of seven digits. How many different telephone numbers exist if each digit appears only one time in the number? How would I solve this type of problem?

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Question 485788: if i have 8 creatures and some have 4 legs and others have 6 legs and all the legs add up to 36. how many of each kind of creature can i have?
solving two ways

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Question 485831: How many committees of 5 students can be selected from a class of 25?
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Question 485886: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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Question 486053: A class containing 25 students 12 of them are female in how many ways can we select a group of 6 males
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Question 486038: a student is asked to answer 9 out of 13 questions on exam how many way can she select the question
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 486137: What is the sum of the first 80 comsecutive odd numbers? Tell whether it illustrates inductive or deductive reasoning,
Click here to see answer by chessace(471) About Me 

Question 486201: Ms. Hariel's class has 21 students, how many combinations of 4 students can be made from the class?
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Question 486771: Some One please help to solve this
The total cost curve of the number of copies photograph is linear. The total cost of 5 and 18 copies of photographs are Rs.80 and 116 respectively . Then the total cost for 10 copies of the photographs is
Answer is 93.85
I don’t know how to do ???? please Explain



Click here to see answer by chessace(471) About Me 

Question 486757: Respected Sir,
Please help me to simplify this question :
At an election there are 5 candidate and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote is
The answer given Is : 25

Please help me to simplify
Thank You

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 486760: Some One please help to solve this
There are 12 points in a plane of which 5 are collinear. The number of triangle is
The answer Is 210
I don’t know how to do ???? please Explain


Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 486759: Some One please help to solve this
The number of straight lines obtained by joining 16 points on a plane, no twice of them being on the same line is
The answer Is 120
I don’t know how to do ???? please Explain


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Question 487719: What is the probability of obtaining exacty seven heads in eight flips of a coin, given that at least one is a head.
Click here to see answer by Edwin McCravy(20055) About Me 

Question 487939: How many different ways can you arrange 36 cans?
Click here to see answer by chessace(471) 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