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

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Question 649974: In how many ways can the names of six candidates for political office be listed on a ballot?
Click here to see answer by lynnlo(4155)

Question 650085: A class has 8 boys and 4 girls. A committee of 3 has to be chosen. In how many ways can at least 1 girl be chosen to the committee? Please explain how to get the answer..
Click here to see answer by ewatrrr(10682)

Question 650098: Twelve computer monitors are stored in a warehouse. The manager knows that three are defective, but has lost the list. He selects five monitors at random to begin testing.
a. How many different choices of five monitors does he have? 792 is the answer using 12C5 for combinations
b. In how many ways could he happen to select the five monitors that include the defective ones? _________________????
Click here to see answer by ewatrrr(10682)

Question 650095: Placing the 6 digits (1 to 6) in six different boxes (maTked a, b, c, d , e and f) manytimes provided that no digit occupies the same box more than once... How many times this can happen?
Click here to see answer by ewatrrr(10682)

Question 650082: A class has 8 boys and 4 girls. A committee of 3 has to be chosen. In how many ways can at least 1 girl be chosen to the committee?
Click here to see answer by ewatrrr(10682)

Question 649970: How many three-digit numbers can be formed by using the numerals in the set {3,2,7,9} if repetition is not allowed?
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Question 650145: A student must answer 3 questions from a choice of 4 questions in an exam. How many different groupings of questions can the student answer?
Click here to see answer by sheldonbbtrocks(53)

Question 650163: A six by six board has the digits 1, 2, 3, 4, 5 and 6 in each row and in each column. None of these digits appears more than once in each row and in each column.
How many different such combinations are there?
Click here to see answer by lynnlo(4155)

Question 650801: write down all the permutations of the set of 4 letters A,B,C,D Taking at a time 2 letters?
Click here to see answer by Edwin McCravy(8882)

Question 650931: How many different sets of 4 marbles can you package if you have blue, white, yellow and pink marbles? The answer is 35 but I keep getting 24 using 4!. I have also tried 4C4 and 4P4 using combinations and permutation. but can't figure out how to get 35.
Click here to see answer by ewatrrr(10682)

Question 651307: I need help with this equation; 1/4n-2<10
i have summised that you need to multiply each factor by 4 to give n=1 which leaves n-8<40
is this correct and how do i progress from here?
regards
graeme woodward
Click here to see answer by MathTherapy(1421)

Question 651332: twelve people are to travel by three different cars,each of which holds four.Find the number of ways in which the party may be divided if two people refuse to travel in the same car;
(1)Assume the antagonists travel in the same car;
(2)Solve by actually placing the two in different cars.
finally,compare your answers in (1)and (2).

(PLEASE I REALLY NEED THE SOLUTION BEFORE NEXT SATURDAY BECAUSE I'LL BE GOING BACK TO SCHOOL.THANK YOU VERY VERY MUCH.)
Click here to see answer by Edwin McCravy(8882)

Question 651477: In how many ways can a student answer 14 true or false questions on a test?
Click here to see answer by MathLover1(6623)

Question 651594: In how many ways can two men and two women be seated in a car that has two front and two rear seat? (No Restrictions)
Then also with the restriction that the two women must sit next to each other.

Click here to see answer by lynnlo(4155)

Question 651595: A teacher wishes to pick a hall monitor and an assistant hall monitor from her class of 34 students. In how many different ways can the selection be made?
Click here to see answer by lynnlo(4155)

Question 651790: This question has two parts. Given a list of 6 students (i.e. Mary, Sue, Anna, Bob, Sam, John) how many different ways can they be arranged in order first to last with no repeats? I figured out that there would be 720 possible arrangements 6*5*4*3*2*1=720 different combinations. But I don't know how to figure out the second part of the question which is, "What are the number of times Anna will be listed first out of the six names?
Click here to see answer by jim_thompson5910(28504)

Question 652196: a four-letter identification code can be formed from the letters A, B, C, D, and E. assume letters can be repeated. How many codes can be formed?
Click here to see answer by jim_thompson5910(28504)

Question 652681: what is the largest three-digit number that u can make using these number tiles 6, 5, 1, 2, 8, 0
Click here to see answer by Edwin McCravy(8882)

Question 653104: 3 ladies and 3 gents can be seated at a around table so that any two and only two of the ladies sit together.the number of ways is?
Click here to see answer by ewatrrr(10682)

Question 653377: Question: In how many ways can a group of 2 boys and 3 girls be made out of a total of 6 boys and 4 girls?
Attempt: I started off by looking at the boys seperately, so 6 boys, two spots in the group should be 6P5= 30. Same thing for girls, 4P3=24. My final step was multiplying them together, 30x24 to achieve 720, operating on the principle of fundamental counting. However, I was told this answer of 720 was incorrect.
Would someone please show me how to do this question?
Click here to see answer by solver91311(16868)

Question 653822: How many 4 letter code words can be made using letters in the word pencil if repetitions are permitted? If repetitions are not permitted?
Click here to see answer by lynnlo(4155)

Question 654330: How many different teams of 3 can be chosen from 4 people?
Click here to see answer by leopardg(1)

Question 654404: I have a group of 8 people who play bridge every month. There are 4 people per table so 2 tables per month
I need to develop a list of who plays with each other. I want to arrange it so that everybody gets to play with each other as equal as possible over the course of a year
I feel that there has to be a simple mathmatical way of doing this instead of just trying to be random.
Thanks for your help!
Ann
AnnMarion123@hotmail.com
Click here to see answer by ewatrrr(10682)

Question 655011: Three person have 4 coats, 5 waistcoats ,6 hats. Find in how many ways can they put on the clothes ?
Click here to see answer by ewatrrr(10682)

Question 655278: How many different 20 persons committee can be formed each containing at least 2 professors and atleast 3 associate professors from a set of 10 professors and 42 associate professors.

Click here to see answer by ewatrrr(10682)

Question 655997:
A teacher has 6 students. They pose for a picture by standing in a single line. If the teacher stands on either end of the line, how many different arrangements of the 7 people are possible?
Click here to see answer by DrBeeee(378)

Question 656980: In how many ways can 5 different contracts be distributed among 11 different firms, if no two contracts are awarded to the same firm?
Click here to see answer by stanbon(57247)

Question 657302: There are 17 street lamps along a straight street. In order to save electricity and not affect the regular use at the same time, we can shut down 5 of these lamps, but we cannot turn off a lamp at either end of the street, and we cannot turn off a lamp adjacent to a lamp that is already off. Under such conditions, in how many ways can we turn off 5 lamps?
Click here to see answer by stanbon(57247)

Question 657361: how many groups of 3 toys can child choose to take on vacation from a toy box containing 11 toys

Click here to see answer by kevwill(135)

Question 657361: how many groups of 3 toys can child choose to take on vacation from a toy box containing 11 toys

Click here to see answer by Edwin McCravy(8882)

Question 658540: the number of ways in which four letters of the word 'MATHEMATICS'can be arranged .answer is 2454 pls solve this

Click here to see answer by MathLover1(6623)

Question 658665:
If each post office has its own five-digit zip code in which the last digit must be a 0, how many offices can there be?
Click here to see answer by jim_thompson5910(28504)

Question 658665:
If each post office has its own five-digit zip code in which the last digit must be a 0, how many offices can there be?
Click here to see answer by lynnlo(4155)

Question 658665:
If each post office has its own five-digit zip code in which the last digit must be a 0, how many offices can there be?
Click here to see answer by Alan3354(30983)

Question 658654: find the number of ways of selecting four letters from the word 'EXAMINATION'.ANSWER IS 136 PLS SOLVE THIS THANK U
Click here to see answer by MathLover1(6623)

Question 658654: find the number of ways of selecting four letters from the word 'EXAMINATION'.ANSWER IS 136 PLS SOLVE THIS THANK U
Click here to see answer by kevwill(135)

Question 658824: five bulbs of which three are defective are to be tried in two bulb points in a dark room. number of trials the room shall be lighted is? answer is 7 pls solve this thank u
Click here to see answer by Theo(3458)

Question 658857: How to make 26 using 1,2,3,4?

Click here to see answer by MathLover1(6623)

Question 658817: the number of ways in which 12 mangoes can be equally divided among 3 student
Click here to see answer by math-vortex(472)

Question 658947: A pollster selected 4 of 10 available people. How many different groups of 4 are possible?
Click here to see answer by jim_thompson5910(28504)

Question 658958: If the letter 'Daughter' are to be arranged so that vowels occupy odd places, then number of different word are
Click here to see answer by Edwin Parker(36)

Question 660218: A secretary has to create ten new customers files in how many different orders can he do this ?
Click here to see answer by stanbon(57247)

Question 661184: In a jar, you have 13 marbles: 6 blue, 4 green and 3 red. What is the problababilty that if you select 3 marbles, they're all green? Use permutation method, not conditional probabilty.
Click here to see answer by Theo(3458)

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