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

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Question 811076: Seven people are preparing to play basketball using a three member team. How many different three person teams can be put together. Hint: Combination of 7 taking 3 at a time.
Click here to see answer by natenator(1) About Me 

Question 811436: Hey all,
For some stupid reason I am drawing a blank on how to answer this question: The license plates in a province consist of three letters followed by three single-digit numbers. If Edward’s initials are EAM, What is the probability that his license plate will have his initials in the correct order?
I believe the answer is 1/17,576,000
1/26 * 1/26 * 1/26 * 1/10 * 1/10 * 1/10
Am I correct on how to solve this?
Thank you!

Click here to see answer by richwmiller(17219) About Me 

Question 811794: Radio station call letters consist of four upper case letters. If the first letter must be a W or a K, how many different combinations are possible? Assume that letters may be repeated.
Click here to see answer by TimothyLamb(4379) About Me 

Question 811793: How many ways can a manufacturer choose 2 warehouses from 20 choices?
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Question 811791: How many 4-digit even numbers >4000 can be formed by using the digits 0-9, if the digits may be repeated?
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Question 811784: A manufacturer has 8 motors and 5 switches. In how many ways can you select 2 motors and 2 switches to build a project?
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Question 811853: in how many ways a committe of five can be formed from out of 5 men and 3 women so as to include at least one women
Click here to see answer by Edwin McCravy(20054) About Me 

Question 812036: During a graduation barbecue, students can choose up to five condiments for their burgers.
- ketchup
-mustard
-relish
-barbecue sauce
-steak sauce
How many different ways can students put condiments on their burgers?

Click here to see answer by richwmiller(17219) About Me 

Question 812322: The call letters of the radio station must have four letters and the first two must be K or W how many different call letters can be made if no letters are repeated and if letters can be repeated
Click here to see answer by richwmiller(17219) About Me 

Question 812901: How many ways can you arrange the nine letters a,a,a,a,b,b,b,c, and c?
Click here to see answer by ewatrrr(24785) About Me 

Question 812909: If a quiz has five questions, and you are asked to rate your response to each question on a scale of 1 to 5 (1 being not likely at all, and 5 being very likely) and then total your score for all five questions, how many different total scores are possible?
Click here to see answer by jsmallt9(3758) About Me 

Question 813120: 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 1 is a man?
Click here to see answer by stanbon(75887) About Me 

Question 813291: Towns A, B, C, and D are located in such a way that there are five roads from A to B, three roads from B to C, and three roads from C to D. How many routes are there from town A to town D via towns B and C?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 813328: What is the probability that 6 favorite songs will be played together out of 30 songs, if all 30 are listened to?
Click here to see answer by stanbon(75887) About Me 

Question 813565: From a class of 12 boys and 8 girl 8 student tobechosen forcompetitionat least including 4 boys and 4 girl. The 2 girl who is prizes last yeat should include in how many way can selection made.
Click here to see answer by richwmiller(17219) About Me 

Question 814903: In what ratio must a peanut costing $5.71 per kg be mixed with a peanut costing
$ 8.5 per kg so that a profit of 20% is made by selling the mixture at $9 per kg?

Click here to see answer by josgarithmetic(39616) About Me 

Question 814901: How many ways can 3 men and 4 women be seated on a bench if the women are to be together?
Click here to see answer by ewatrrr(24785) About Me 

Question 814949: a mathematics quiz consist of 15 true-false question how many different ways can a student answers
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Question 814991: Find the number of ways two picture cards can be selected from twelve picture cards in a deck.
Click here to see answer by ewatrrr(24785) About Me 

Question 814984: Part I of the exam has a seven question multiple-choice questions. If each question has five possible answers only one of which is correct: In how many ways can a student answer all the questions correctly?
Click here to see answer by TimothyLamb(4379) About Me 

Question 815276: On a shelf there are four Mathematics books and eight English books. How many ways can the books be arranged? What is the probability that all the Mathematics books will not be arranged together?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 815307: In how many ways can a group of 12 policemen group into 3 groups of 7, 3 and 2

Click here to see answer by KMST(5328) About Me 

Question 815338: List all possible four-letter words that can be formed from the word MEDITERRANEAN such that the first letter is E and the last letter is R.
How many of such four-letter words are possible?

Click here to see answer by Edwin McCravy(20054) About Me 
Question 815338: List all possible four-letter words that can be formed from the word MEDITERRANEAN such that the first letter is E and the last letter is R.
How many of such four-letter words are possible?

Click here to see answer by richwmiller(17219) About Me 

Question 815305: 1)number of ways selecting 6 correct answers from 25 multiple choice questions having 4 options each.(with skipping and without skipping of questions)
2)probability of answering 5 or more than 5 correct answers from 6 questions having 4 options.





























































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Question 815285: There are four roads going from town A to town B.In how many ways can a person go by one road and return by a different road?
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Question 812171: How many 3 digit numbers can be formed using the digits 0 and 1?
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Question 812171: How many 3 digit numbers can be formed using the digits 0 and 1?
Click here to see answer by Alan3354(69443) About Me 

Question 812170: A man has 5 shirts and 3 ties. How many different shirt and tie arrangements can he wear?
Click here to see answer by faiz19(4) About Me 

Question 816250: How many 4 digit numbers can be formed if repetition is not allowed from the digits 0 to 9 ?
What's wrong with my answer: 6*8*9*10(10 for units, 9 for tens, 8 for hundreds,6 for thousand if zero was not taken)+ 7*8*9*10 (10 for units, 9 for tens ,8 for hundreds, 7 for thousand if zero was taken) =9360

Click here to see answer by richwmiller(17219) About Me 
Question 816250: How many 4 digit numbers can be formed if repetition is not allowed from the digits 0 to 9 ?
What's wrong with my answer: 6*8*9*10(10 for units, 9 for tens, 8 for hundreds,6 for thousand if zero was not taken)+ 7*8*9*10 (10 for units, 9 for tens ,8 for hundreds, 7 for thousand if zero was taken) =9360

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

Question 816930: How many unique ways are there to arrange the letters in the word TIGER?
Click here to see answer by TimothyLamb(4379) About Me 

Question 817044: A marching band in one school has 40 members. They can march single file, in a row of 2, or any other arrangement in which all rows have the same number of people. How many marching arrangements are possible for the band?
Click here to see answer by stanbon(75887) About Me 

Question 816557: How many different letter arrangements are possible using all the letters in the word "evaluate"?
I thought I had to do something like
8 / 2!2! = 8 / 4 = 2
But on my test I got it wrong and I knew it couldn't be the right answer. This subject really confuses me!

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

Question 817460: A committee of 3 is to be selected from a group comprising 8 women and 5 men. In how many ways can the committee be formed, irrespective of gender differences?
Click here to see answer by TimothyLamb(4379) About Me 
Question 817460: A committee of 3 is to be selected from a group comprising 8 women and 5 men. In how many ways can the committee be formed, irrespective of gender differences?
Click here to see answer by ewatrrr(24785) About Me 

Question 817904: Which of the following is not a combination?



The number of 2 person subcommittees that can be chosen from a 10 person committee.
The number of 2 person teams that can be picked form 10 people
The number of ways a President and Vice President can be chosen from a group of 10 people.

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

Question 813523: a team of 4 is to be choosen at random from 5 women and 6 men.in how many ways can this be done if
a. there are no restrictions.
b. there must be more men than women.

Click here to see answer by tommyt3rd(5050) About Me 

Question 814540: prove that : n! (n+2) = n! + (n+1)!
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Question 818823: combination that can form from 1 to 40 using 6 numbers only without repeating

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

Question 819711: an employer has 5 female and 7 male qualified for 5 vacant positions. In how many ways can he hire 2 males and 3 females?
Click here to see answer by stanbon(75887) About Me 

Question 819905: From a group of 7 men and 5 women, a committee of 5 people is to be chosen. If each possible committee is equally likely, what is the probability the committee chosen will have a majority of women?
Click here to see answer by ewatrrr(24785) About Me 

Question 819898: How many ways can a 10 question multiple choice test be answered if each question has 5 choices?
Click here to see answer by ewatrrr(24785) About Me 

Question 819935: 17C5=

Click here to see answer by ewatrrr(24785) About Me 

Question 819999: [ From a group of 10 people, 4 will win $500 each. How many different winning groups are possible? ]
Click here to see answer by TimothyLamb(4379) 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