Tutors Answer Your Questions about Permutations (FREE)
Question 584791: A student planning her curriculum for the upcoming year must select one of three business courses, one of five mathematics courses, two of seven elective courses, and either one of four history courses or one of three social science courses. How many different curricula are available for her consideration?
Click here to see answer by Theo(13342)  |
Question 585050: Here is a word problem:
In order to guarantee all emergency phone calls are received, the phone company wants all phone numbers with a 9 followed by two 1's to be routed to the 9-1-1 emergency help center. This will ensure that any real emergency victims will still get the help they require regardless of whether or not they accidentally hit extra keys. The digits 9-1-1 do not need to be consecutive but they do need to be in that order (e.g. 197-8141 and 009-1211) would get routed to 9-1-1, but 514-9313 would not, since the 9 is only followed by a single one. How many 7-digit phone numbers would not be able to be used since they would be routed to the 9-1-1 emergency center? Assume all 7-digit phone numbers are available from 000-0000 to 999-9999.
Click here to see answer by richwmiller(17219)  |
Question 585723: Suppose you flip a coin 3 times, and record the sequence of heads and tails that appear. You win $3, if three heads appear, $2 if two heads appear, and $1 if one head appears, but lose $10 if no heads appear. Is this game fair? why or why not, and what is the expected value?
Click here to see answer by Edwin McCravy(20054)  |
Question 587984: I have five fields (first name, last name, number, location and age) which can be used to search for a person in a database. Any number of these parameters can be used in any combination, i.e a person can be searched for by only first name or by a combination of first name, location and age and so on (although 0 parameters are not allowed). How many different combinations are there a user could search for?
Am I correct thinking that there is 5 ways to search, either 1 or 2 or 3 or 4 or 5 parameters are specified. If only 1 parameter is given, there is 5 ways this parameter could be specified. If 2 parameters are given there are 10 ways of doing this, if three parameters are given they can be chosen in 10 different ways, if 4 parameters they can be chosen in 5 different ways, if 5 parameters only one possibility exist. This leads to a total number of combinations of (5*10*10*5*1)=5^6?
Click here to see answer by scott8148(6628)  |
Question 588172: A security code consists of four different letters chosen from the 26 in alphabet, order being important. For example, QCDK. Given that the code does not contain any vowels what is the probability that it will contain an X?
Click here to see answer by KMST(5328)  |
Question 588541: Each switch in a system of six switches can be either on or off. A power surge randomly resets the six switches. What is the probability that this random setting for the system is one in which the first two switches are both in the on position?
Click here to see answer by Theo(13342)  |
Question 588548: To make a two letter code the first letter is chosen from the set of vowels and the second letter is chosen from the 26 letters of the alphabet.How many of this codes, (a)end with D. (b)start with an E and end with a D. (c)start with an E or end with a D. (d)start and end with the same letter.
Click here to see answer by sudhanshu_kmr(1152)  |
Question 589615: Question 1. Joyce is picking out material for her new quilt; she needs 11 different fabrics. At the fabric store, there are 7 solids, 6 striped prints, 4 plaids, and 4 floral prints that she can choose from. How many different ways can she choose the fabrics if she wants all 7 solids?
Question 2. Raul wants to custom order 4 collars for his 4 unique dogs. A custom ordered is tailor fitted to a pet and comes in a choice of 5 different colors.
How many selections of collars for the 4 dogs are possible if repetitions of colors are allowed?
How many selections of collars are possible if repetitions of colors are not allowed?
Click here to see answer by edjones(8007)  |
Question 590617: These 3 problems are causing me stress as I can barely understand the elimination and substitution methods for working these.
For the systems of linear equations
Determine how many solutions exist
Use either elimination or substitution to find the solutions (if any)
Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
y = 2x + 3 and y = -x - 4
2x + 3y = 8 and 3x + 2y = 7
I have more questions like these, but I think if I could please receive some help I could get a better idea of how to work the rest of them. Even if no one answers this thanks for reading, sincerely me
Click here to see answer by Theo(13342)  |
Question 590973: you are taking a multiple choice test that has 7 questions.Each of the questions have 5 answer choices, with one correct answer per question. If you select one choice for each question and leave nothing blank, in how many ways can you answer the question?
Click here to see answer by ad_alta(240)  |
Question 592783: If there are seven junior students and ten senior students, how many combinations of students can form a committee of six students if at least one student is a senior student.
I thought it was 10C1 x 16C5 , but apparently that's wrong?
Please help me!
Click here to see answer by scott8148(6628)  |
Question 592783: If there are seven junior students and ten senior students, how many combinations of students can form a committee of six students if at least one student is a senior student.
I thought it was 10C1 x 16C5 , but apparently that's wrong?
Please help me!
Click here to see answer by jim_thompson5910(35256) |
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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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