Tutors Answer Your Questions about Permutations (FREE)
Question 945739: Stoney Creek is running out of phone numbers. They need a new area code for the city. How many options do they have if they cannot use 0 as the first number or the last number in the three digit area code? (remember that they also cannot use 905 or 289 as they are already full)
Click here to see answer by Edwin McCravy(20054)  |
Question 945842: The alphabet contains 26 letters, 5 of them are vowel. How many codes consisting of 5 letters, 3 consonants and 2 vowels can be formed? From this amount, how many are there that
a) contain the letter b?
b) contain both the letters b and c?
c) contain the letter b and end with c?
Click here to see answer by Edwin McCravy(20054)  |
Question 945892: The student council are running a guess the combo contest to win a locker full of candy. If the lock has 30 numbers on it how many four number combinations are possible if two numbers cannot appear consecutively?
Click here to see answer by Alan3354(69443)  |
Question 945890: Here is the final question for the assignment.
A quality control inspector samples 4 computer chips from a box containing 12 computer chips. If the box contains 2 defective chips, in how many ways can he select a sample so that both defective chips are selected?
We haven't done anything to this extent in class and we're expected to just know it. Please and thank you.
Click here to see answer by Edwin McCravy(20054)  |
Question 945889: Hello, this is the second question that I have from the assignment.
Five cards are drawn from a standard deck of 52 cards. How many hands of five cards have at least one red card?
This seems like it would be too easy and I think I'm just overthinking it.
Thank you in advance whoever you are.
Click here to see answer by Edwin McCravy(20054)  |
Question 945887: Hello, I'm doing some homework problems and I've gotten 17 of the 20 correct so far. There's just a few that I need help on, here is one of them.
A group of 9 males and 9 females volunteer for a medical study. Three volunteers are selected.
How many ways can the three subjects be selected from the 18 volunteers? (I found that this is 816 by doing C(18,3)
How many selections contain at least two females?
How many selections contain at most one female?
Click here to see answer by Edwin McCravy(20054)  |
Question 945839: A new area code is needed for the city. How many options do they have if they cannot use 0 as the first number or the last number in the three digit area
code? (remember that they also cannot use 905 or 289 as they are already full)
Click here to see answer by Edwin McCravy(20054)  |
Question 945959: The student council are running a guess the combo contest to win a locker full of candy. If the lock has 30 numbers on it how many four number combinations are possible if two numbers cannot appear consecutively? Why is it 30 then 29 three times?
Click here to see answer by richard1234(7193)  |
Question 946087: With solution please
1.) In how many ways can 6 men be arranged in a row for a show if just 4 men are capable of acting as end men?
2.) The captain of a basketball team assign himself to the 4th place in the shooting order. In howmany ways can he assign the remaining to his 4 teammates, if just 3 men are considered eligible for the first position?
3.) A college freshman must take Mathematics, an English and a Social Science subjects. If he may select 3 Mathematics subjects, and any of English subjects and any of 5 Social Science subjects, in how many ways can he arrange his program?
4.) Each license plate in a certain state consists of three letters followed by two numbers with repetition allowed. How many different license plates are possible in this state?
Click here to see answer by Edwin McCravy(20054)  |
Question 945755: A system designer is asked to design an inventory system for a hardware manufacturer. The manufacturer produces 57,826 different kinds of hardware. The system designer must decide on a way to identify the different kinds of hardware. Each id# is to begin with two letters of the alphabet. Any letter can be used except I,O,Z. The rest of the id# is to consist of digits. How many digits must the designer include in the id# format to ensure that each kind of hardware has a unique id#s?
Click here to see answer by Edwin McCravy(20054)  |
Question 947191: Show that the way in which the entries in Pascal's triangle are formedby adding "above left" and "above right' is consistent with the following statement;
nCr-1 +nCr =n+1Cr
Use the fact that nCr = n!/(n-r)!r! to show that the above statement is true.
Click here to see answer by Edwin McCravy(20054)  |
Question 946748: How many five-letter words are there in which no letter appears 3 or more times in a row?
a. compute the answer by using an indirect counting method
b. check your answer to part a by using a direct counting method to find the answer.
Click here to see answer by Edwin McCravy(20054)  |
Question 946642: 2) At a local kennel there are 800 dogs staying over the March Break. Of these dogs, 518 are male, 212 are brown and 375 are puppies. 247 are male puppies, 143 are brown puppies and 107 are brown males. 68 are brown male puppies. How many of the dogs are Females who are older and not brown? Plus, Show a Venn Diagram showing this situation.
Click here to see answer by Edwin McCravy(20054)  |
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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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