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

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 335036: H0w many different ways can a classroom of 10 students elect a president, vice president and treasurer? Click here to see answer by stanbon(57347)

 Question 335891: I know this is a combinatorial type of question, however, I am still baffled, your help on answering this question would be greatly appreciated. In how many different sequences can we list 4 novels followed by 6 biographies if there are 8 novels and 10 biographies from which to choose? Click here to see answer by jrfrunner(365)
 Question 335891: I know this is a combinatorial type of question, however, I am still baffled, your help on answering this question would be greatly appreciated. In how many different sequences can we list 4 novels followed by 6 biographies if there are 8 novels and 10 biographies from which to choose? Click here to see answer by scott8148(6628)

 Question 336158: when you round 19.36 what do you get Click here to see answer by stanbon(57347)
 Question 336158: when you round 19.36 what do you get Click here to see answer by ChocoMooMoo(2)

 Question 336569: Five students are to be photographed for the school paper. They are to be arranged standing side by side in a single row with the tallest student in the center and the two shortest students on the ends. If no two students are the same height, how many different arrangements are possible? (A) Two (B) Four (C) Five (D) Six (E) Ten Click here to see answer by edjones(7569)

 Question 336662: In how many different ways can 5 people arrange themselves in the 5 seats of a car for a trip if only 2 of the people can drive? (A) 12 (B) 15 (C) 26 (D) 48 (E) 120 Click here to see answer by jim_thompson5910(28595)

 Question 337091: A teacher is to be assigned to teach 5 different courses in 5 different class periods on Mondays. If exactly one course meets each period, how many different assignments of courses to these class periods are possible for Mondays? Click here to see answer by stanbon(57347)

 Question 337608: Luis can select one or more of the following 3 topping for his ice cream: nuts, whipped cream, cherries. If he selects one or more, how many different combinations of toppings are possible? (Assume that the order of the toppings does not matter.) Click here to see answer by nyc_function(2733)

 Question 337734: a true false quiz has 10 questions. how many different sets of answers are possible Click here to see answer by Fombitz(13828)

 Question 338207: Use induction to show 1+2n_<3^n for n_>1 I'm really having a hard time understanding this process . I think if I see some examples it will help me solve it on my own Click here to see answer by stanbon(57347)

 Question 338155: I do not understand inverse permutations. For example, the permutation of (1 2 3 4 5), has an inverse of (1 5 4 3 2). How do we know this is true rather than some other permutation. Is there a valid, relatively simple equation to find the inverse of any permutation and does this imply that all permutations have an inverse? Thank you, Robert Click here to see answer by jim_thompson5910(28595)

 Question 338230: without expanding completely find the 6th term (3/c+c^2/4)^7 the book sais 189/1024c^8 I was getting 2835/64c^2 Click here to see answer by jim_thompson5910(28595)

 Question 338940: The problem is about color arrangements . I solved it but don't know if the answer is right . If someone could review my work I would be very grateful. Each of six adjacent squares in a strip is to be filled with anyone of ten possible colors. How many ways are there of coloring the strip so that no two adjacent squares have the same color? in my solution I perceived that there each square beside the first one could be filled with any nine of the ten colors. and that the first square could be filled with any of the ten colors.With six squares that amounted of 9+9+9+9+9+10=55 , 55 possible positions , that would be my n. and 6 would be r. I used the Factorial Form for P(n,r): P(n,r)=n!/(n-r)! 55!/(55-6)!=55!/49!=55*54*53*52*51*50=aprox 2.087*10^10 Did I do it right or am I way off? Click here to see answer by stanbon(57347)

 Question 339158: An algebra class has 17 boys and 16 girls. One student is chosen at random from the class. What is the probability of a girl being chosen? Click here to see answer by jim_thompson5910(28595)

 Question 339880: each of the six squares shown in the figure is to be filled with any one of the ten possible colors. how many ways are there of coloring the strip shown in the figure so that no two adjacent squares have the same color? their is a purple box, a yellow box, a red box , a green box, a blue box and and an orange box lined up next to each other. Click here to see answer by Edwin McCravy(8909)

 Question 340047: If there are four students and four chairs, how many different seating arrangements are available? Click here to see answer by edjones(7569)

 Question 340280: The school community service clud has 45 members. Of these 45 memders, 3\5 are boys. How many boys ar members of the Community ServiceClud? Click here to see answer by texttutoring(324)

 Question 340319: How many ways can you arrange A,B,C,D,E so that you begin and end with a consonant? Click here to see answer by stanbon(57347)

 Question 340521: if you are taking a multiple choice test (a,b,c,&d) consisting of 10 questions, how many different arrangements of answers are there? Click here to see answer by solver91311(16885)

 Question 340884: How many ways can you seat 3 men and 3 women at a table if 2 particular women can't sit together? Click here to see answer by stanbon(57347)

 Question 341710: A certain lottery has 26 numbers. In how many different ways can 5 of the numbers be selcted? (assume that order of selection is not important) 26! 26x25x24x23x22x21 ____ -----------------= 1,578,720 (26-5)!5! 105 THANK YOU FOR YOUR HELP!!! Click here to see answer by jim_thompson5910(28595)

 Question 342369: ten people, 5 men and 5 women, are to be seated in a row of 10 chairs. What is the probability that the men and women end up in alternate chairs? Click here to see answer by Edwin McCravy(8909)

 Question 342723: Each event can occur in the given number of ways. Find the number of ways all of the events can occur. Event 1: 3 ways; Event 2: 7 ways This question is in my Algebra 2 workbook for practice on Permutation. Click here to see answer by nyc_function(2733)

 Question 342821: 12 individuals are part of a group of trustees of a particular company. There are 5 positions that need to be filled on the board. How many different ways can the board positions be filled? Click here to see answer by nyc_function(2733)

 Question 343177: How many three letter combinations can be made fro the letters in the word MATH? Click here to see answer by nyc_function(2733)

 Question 343304: in a poker hand consisting of 5 cards,find the probability of holding. (a) 3 aces, (b) 4 hearts and 1 club Click here to see answer by Fombitz(13828)

 Question 343800: How many numbers less than 1000 can be made from the eight digits 0,1,2,3,4,5,6,7? Click here to see answer by solver91311(16885)

 Question 344851: We are to seat 5 boys, 5 girls, and 1 parent in a circular arrangement. In how many ways can this be done if no boy is to sit next to a boy and no girl is to sit next to a girl? What if there are 2 parents? I really just don't know where to start. I've drawn it up, but if you count symmetries and assume the boys and girls to be indistinguishable its weird.. i'm honestly just not good at this haha. thanks for all your help though Click here to see answer by scott8148(6628)

 Question 345203: how many different teams of 5 players can be made from a roster with 12 players? Click here to see answer by checkley77(12569)
 Question 345203: how many different teams of 5 players can be made from a roster with 12 players? Click here to see answer by solver91311(16885)

 Question 345770: I'm trying to figure out how this answer was derived from this problem. I understand how to do the Permutation problems but not the combinatorics C (17, 4) the answer given was 35. Click here to see answer by stanbon(57347)

 Question 345914: How many combinations can be made from 3 letters followed by 2 digits? How to solve for this? Click here to see answer by Alan3354(30993)

 Question 345963: A certain compact disk player randomly plays each of 10 songs on a cd. Once a song is played, it is not repeated until all the songs on the cd have been played In how many ways different ways can the cd player play the 10 songs. Click here to see answer by stanbon(57347)

 Question 345932: A bookshelf holds twelve books in a row. How many ways are there to choose five books, so that no two adjacent books are chosen? Click here to see answer by AnlytcPhil(1277)
 Question 345932: A bookshelf holds twelve books in a row. How many ways are there to choose five books, so that no two adjacent books are chosen? Click here to see answer by Edwin McCravy(8909)

 Question 345979: Suppose that a shipment of 120 electronic components contains 4 defective components to determine whether the shipment should be accepted, a quality control engineer randomly selects 4 of the components and test them. If 1 or more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected? Click here to see answer by Fombitz(13828)

 Question 346114: A committee consists of 6 teachers, one each from schools A, B, C, D, E, F. What is the probability that a reporter visiting the committee will be able to correctly guess which teacher belongs to which school (with no hints or identifying information provided)? Click here to see answer by edjones(7569)

 Question 346405: Four wires (red, green, blue, and yellow) need to be attaches to a circuit board. a robotic device will attach the wires. the wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Determine the number of all the posible sequences of assembly that must be tested. Click here to see answer by edjones(7569)

 Question 346589: how many numbers consisting of 2 digits can be formed with the help of digits 1,2,3,4 such that each number contains 1 Click here to see answer by Edwin McCravy(8909)

 Question 346641: A Petro is made up of Chili, Corn Chips, Tomatoes, Green Onions, Sour Cream, Jalapenos and Black Olives. there are two types of Chili available (original and vegegarian) You can substitute pasta for the corn chips. You can substitute fat free cheese and fat free sour cream for the cheese and sour cream. how many different ways can you order a Petro? Click here to see answer by Fombitz(13828)

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