Tutors Answer Your Questions about Permutations (FREE)
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(35256)  |
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(75887) |
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(20054)  |
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(75887) |
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(32388)  |
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(8007)  |
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(8007) |
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(32388) |
Question 348509: A student planning her curriculum for the upcoming year must select one of four business courses, one of four mathematics courses, two of six elective courses, and either one of five history courses or one of two social science courses. How many different curricula are available for her consideration?
The fact that she has to choose between either the history or the social science courses is why I cant figure it out
Click here to see answer by edjones(8007) |
Question 348524: From a shipment of 60 transistors, 4 of which are defective, a sample of 4 transistors is selected at random.
(b) How many samples contain exactly 3 defective transistors?
(c) How many samples do not contain any defective transistors?
Click here to see answer by edjones(8007) |
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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, 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
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