Tutors Answer Your Questions about Permutations (FREE)
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 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 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 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 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 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 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 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 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 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) |
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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
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