Tutors Answer Your Questions about Permutations (FREE)
Question 490536: 8 guests have to be seated 4 on each side of a long rectangular table. 2 particular guests desire to sit on one side of the table and 3 on the other side. The number of ways in which the sitting arrangements can be made is?
Click here to see answer by stanbon(75887)  |
Question 492026: A DNA molecule is shown on the following picture. A nucleotide is represented by one of the letters {a, t, c, g}. A codon is defined to be a triplet of nucleotides. The order of the nucleotides in a codon is significant, and the nucleotides can be repeated. These codons are important in determining how DNA is transformed into protein. How many different codons are possible?
____ codons
Click here to see answer by chessace(471)  |
Question 491622: a computer system uses passwords that consist of five letters followed by a single digit. how many passwords consist of three a's and two b's and end in an even digit?
if you forget your password but remember that it has three a's and two b's and ends in an even digit, what is the probability that you will guess the password correctly on the first attempt
Click here to see answer by sudhanshu_kmr(1152)  |
Question 491266: 6 cards are to be drawn (or dealt), without replacement, from a deck of 52 cards. In how many ways can this be done if
a) all of the cards drawn are to be spades?
b) all are to be kings?
c) none are to be diamonds?
d) all are to be clubs or all are to be kings?
Any help is so appreciated!
Click here to see answer by sudhanshu_kmr(1152) |
Question 492769: Suppose that there is a large group of people, consisting of exactly 2N women and 2N men. The group is split in half at random. What is the probability that each half contains exactly N women and N men?
And the second part asks for a given N, set up Stirling's Formula so you can calculate the approx value for a given N.
I am having trouble thinking how to set up this problem. I know as N gets bigger, the possible combinations increase....I'm thinking 2^n.
I also know that the order does not matter, but with each selection you are taking removing someone from the pool of 4N people.
Click here to see answer by stanbon(75887) |
Question 492772: The dean of an Engineering School invites all 9 chairpersons and their spouses to his house for a Winter Solstice party. If each department chair may attend without a spouse, but the spouse may not attend without the department chair, how many different sets of attendees are possible?
[b] Think of another way to count the possible sets of attendees. If you can, also write the two approaches as a combinatorial identity.
Again I'm lost as to how to begin setting this problem up.
Click here to see answer by sudhanshu_kmr(1152) |
Question 494233: given d=5, c=3, b=2, and a=1 what algebraic expression will equal 19
each variable may only be used once. exponents may be used but must be one of the variables listed. the expression can be addition, subtraction, multiplication or division and any combination of these.
Click here to see answer by chessace(471) |
Question 494704: How many SSN are able to be used if the following numbers will never be used:
1) nubers with all zeros in any digit group (000-xx-xxxx, xxx-00-xxxx, xxx-xx-0000.
2) numbers with the first set of 666
3) numbers 987-65-4320 through 987-65-4329
Obviously there are 1,000,000,000 possibilities minus 10 for number 3 above but I don't know how many more to subtract for numbers 1 and 2 above.
Thank you.
Click here to see answer by stanbon(75887) |
Question 494401: Dear Sir/Madam I wish to know. The alphabeth got 26 letters. If you use nine (9)letters of the alphabet in a combination, how many combination are there. Which combination is likely to appear. your help will highly appreciated. Best regards. Henri
Click here to see answer by sudhanshu_kmr(1152) |
Question 494788: Congratulations! You have just won 25 video game tokens to use on these three challenging arcade gamse: Mighty Mediecal Monsters, Radical Racing Robots and Adventures Around the Amazon. All you have to do to collect your prize is answer this question: How many different ways are there to spend your 25 tokens on these three games provided that you play each game at least once?
Click here to see answer by sudhanshu_kmr(1152) |
Question 495196: Consider the word “DIGITALCIRCUITS”. How many arrangements are possible such that vowels and consonants occur in alphabetical order independently ? (Example: For the word “APPLE these are some of the possibilities “ALEPP” “ALPEP” and “LAPEP”)
Click here to see answer by richard1234(7193)  |
Question 496122: 1.How many ways can a club consisting of 30 people elect a president, vice president, secretary, and treasurer?
2. Jennifer is asked to complete 5 of the 7 essay questions on her literature esam. How many choices does she have?
Click here to see answer by stanbon(75887) |
Question 496853: A certain math class has 21 people and each must work a problem out on the board. Determine the number of different orders that are possible.
I understand Permutations and Combinations but this is the only question that stumps me, if you could help me out. Thanks
Click here to see answer by josmiceli(19441)  |
Question 499018: In IR license plates consists of just 2 letters(capital letters) and 3 digits (0-9). How many such plates could be produced if there can be NO REPEATS of the digits on each plate (but repeats of letters is OK).
Click here to see answer by chessace(471) |
Question 499080: for college debate competition, Daniel must select one topic of six topics to speak at the first level .he must also select a different topic from the same list to speak at the second level of the competition .How many ways can he choose the topics for the two levels?
Click here to see answer by chessace(471) |
Question 499087: In a library ,one copy of each of 40 new books has been added to its reference section .In addition , The contents of the books have been uploaded to the online to the library database .There are 4 LAN terminals in the reference section of the library .Therefore,each of the new books can be referred to in the form of its hard copy as well as soft at 4 computers .How many ways can a member choose a new book and its form to refer?
Click here to see answer by chessace(471) |
Question 499070: there are 16 girls and 20 boys in a class .A team of 2 students is to be selected for preparing a science project from this class .How many ways a pair of a boy and a girl can be selected from this class?
Click here to see answer by chessace(471) |
Question 499070: there are 16 girls and 20 boys in a class .A team of 2 students is to be selected for preparing a science project from this class .How many ways a pair of a boy and a girl can be selected from this class?
Click here to see answer by suren(2)  |
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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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