Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 531044: how many three digit numbers can be formed from 1,2,3,4,5,6,7,8,9 if repetition of digits are not allowed?
a) 60
b) 343
c) 504
d) 729
e) none of the choices.
Click here to see answer by Edwin McCravy(20054)

Question 531258: A box can hold 4 books. How many books can 5 boxes hold?
Click here to see answer by algebrahouse.com(1659)

Question 531430: Working separately, 5 students make 10 models in 2 days. How many models can 10 students make in 4 days?
Email: crewsin1@comcast.net
Click here to see answer by htmentor(1343)

Question 531425: How many distinguishable arrangements are there of the letters in "arrangement" that do not have the two "r"s adjacent?
Click here to see answer by Edwin McCravy(20054)

Question 531828: no. of ways a lawn tennis mixed doubles can be made up from 7 married couples if no husband and wife play in same set
Click here to see answer by josmiceli(19441)

Question 531832: how many 5 digit even numbers are there?
Click here to see answer by ankor@dixie-net.com(22740)

Question 532611: Hello, can you help my figure of this question. If one person selects two vehicles at random, what is the probability that the person selects 2 SUV's. The totat number of suv's are 45, the total number of cars are 83 and the car and suv total is 128.
Click here to see answer by htmentor(1343)

Question 532645: A committee of 3 people is to be selected from a group of 10 people so that there is one president, one treasurer, and one senator. In how many ways is this done?

Click here to see answer by Edwin McCravy(20054)

Question 533128: A pianist plans to play 8 pieces at a recital. In how many ways can she arrange these pieces in the program?
Click here to see answer by solver91311(24713)

Question 533340: How many different ways can four people be seated on a bench that seats four?
Click here to see answer by scott8148(6628)

Question 533390: How many five-digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,&9 if the first digit cannot be 0 or 1? Repeated digits are allowed
Click here to see answer by josmiceli(19441)

Question 533454: You have nine people. Each day these nine people must break up into 3 groups of three. How many days can they meet without the same three people meeting again in any group of three? Hope that was clear enough and help will be greatly appreciated.
-D
Click here to see answer by scott8148(6628)

Question 534033: 8b+4<52
Click here to see answer by unlockmath(1688)

Question 534031: -14d-6=-3(d+2)-11d
Click here to see answer by boilpoil(127)

Question 534029: 3(n+7)=3-3(n-8)
Click here to see answer by boilpoil(127)

Question 534160: A license plate has 9 digits. You cannot repeat a digit.How many combination?
Click here to see answer by Alan3354(69443)

Question 534160: A license plate has 9 digits. You cannot repeat a digit.How many combination?
Click here to see answer by oberobic(2304)

Question 533998: Page Turner loves discrete mathematics. She has 7 "graph theory" books, 8 books about combinatorics, and 7 "set theory" books. How many ways can she place her discrete mathematics books on the same shelf in a row if:
a) there are no restrictions.
b) graph theory books are next to each other but the others could be anywhere on the shelf.

c) books are organized by their topic (same kinds are next to each other).

Click here to see answer by sudhanshu_kmr(1152)

Question 534398: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?

Click here to see answer by oberobic(2304)

Question 534417: A student is asked to answer 9 out of 14 questions on an exam.
(a) Classify the problem as a permutation, a combination, or neither.
In how many ways can she select the questions to be answered?

Click here to see answer by solver91311(24713)

Question 534827: A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the 14 notes in her vocal range. How many different sequences of 3 notes are possible?
Click here to see answer by josmiceli(19441)

Question 534973: how many 5 digit odd numbers can you make and no digit is repeated?
Click here to see answer by Edwin McCravy(20054)

Question 535615: Please help me to solve this question :
How many different numbers can be formed by taking one, two, three and four digits from the digits 1, 2, 7 and 8, if repetition are not allowed?
can I do it this way :
4P1 x 4P2 x 4P3 x 4P4
= 4 x 12 x 24 x 24
= 27648

Click here to see answer by richard1234(7193)

Question 535802: If nPr = 336 and nCr = 56, determine what n and r are.
Click here to see answer by fcabanski(1391)

Question 536053: A class has 7 students. Two of the students, Rachel and Jonathan cannot stop bugging each other. How many line-ups are possible in which Jonathan and Rachel are not beside each other?
Click here to see answer by Edwin McCravy(20054)

Question 535772: In how many ways can 5 women and 5 men be arranged in order if men and women must alternate?
Click here to see answer by sudhanshu_kmr(1152)

Question 536465: Using only the numbers 1, 2, and 3 without repeating, how many three digit number can be made?

Click here to see answer by Edwin McCravy(20054)

Question 536391: In how many can 3 men and 2 women be chosen from 7 men and 5 women
Click here to see answer by Alan3354(69443)

Question 536476: in how many way can a committee of 6 women and 4 men be chosen from 8 women and 7 men.
Click here to see answer by Edwin McCravy(20054)

Question 536622: A student is asked to answer 9 out of 13 questions on an exam.
(a) Classify the problem as a permutation, a combination, or neither.

(a)permutation
(b)combination
(c)neither

Click here to see answer by jim_thompson5910(35256)

Question 536638: A student is asked to answer 9 out of 13 questions on an exam.
(a) Classify the problem as a permutation, a combination, or neither.
(a)permutation
(b)combination
(c)neither

(b) In how many ways can she select the questions to be answered?

Click here to see answer by jim_thompson5910(35256)

Question 536918: A license plate is to consist of two letters followed by 3 digits. How many different license plates are possible if you can repeat letters and digits
Click here to see answer by fcabanski(1391)

Question 537685: if mC2=n , then find the value of (m+1)C4
Click here to see answer by stanbon(75887)

Question 539897: Solve for 'r'in the following equation: 8!/(8-r)! = 336.
Click here to see answer by Alan3354(69443)

Question 540291: How many distinguishable "words" can be formed from the letter of the word COLLEGES? (all 8 letters must be used)
Click here to see answer by stanbon(75887)

Question 540762: How many ways can you organize a class of 20 students into groups of four?
Click here to see answer by Alan3354(69443)

Question 540818: how many number can be formed from the digit 1,2,3,9, if repetition of digit is not allowed

Click here to see answer by AnlytcPhil(1806)

Question 541021: if i have ten digits (0-9) how many 4 digit codes can i make?
Click here to see answer by jpg7n16(66)

Question 541020: distinguish permutation of the word decreed
Click here to see answer by AnlytcPhil(1806)

Question 540987: A credit card number has 5 digits (between 1 to 9). The first two digits
are 12 in that order, the third digit is bigger than 6, and the fourth digit
is 3 times the 5th digit. How many different credit card combinations are
possible?
Click here to see answer by AnlytcPhil(1806)

Question 541219: How many different license plates can be made if the plates are to be letter (a-z), number (0-9), number (0-9), letter (a-z), letter (a-z)
Click here to see answer by stanbon(75887)

Question 541520: A computer is programmed to randomly print two capital letters in a row without repeating a letter. What is the probability that the first combination printed is the word "DO" ?
Click here to see answer by oberobic(2304)

Question 541632: How many groups of 3 students can be selected from 8 students?
On my calculator, I tried 8 times 3 second level percent button, then the permutation button and I keep getting 24. And I know it's not right!
Please help, thank you so much! :)
Click here to see answer by scott8148(6628)

Question 541762: Two cards are drawn in succession in a desk w/o replacement. What is the probability that both cards are greater than 2 and less than 8?
Click here to see answer by htmentor(1343)

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