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

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Question 277765: In how many ways can a 10-question multiple-choice test be answered if there are four choices for each question?
Click here to see answer by richwmiller(17219)

Question 277994: A set D is a subset of set C provided that
Answer
At least one element of c is not an element of D
At least one element of d is not an element of C
Every element of D is an element of C
Every element of c is an element of D

Click here to see answer by Edwin McCravy(20054)

Question 278002: how many sequences are possible for the last four digits of a social security number and the calculation for it?
Click here to see answer by edjones(8007)

Question 277993: An exam contains 5 multiple-choice questions, each having 4 possible answers. In how many different ways can the exam be completed?
Answer
C(5, 4)
5 square 4
4 square 5
5-4-3-2

Click here to see answer by edjones(8007)

Question 278532: A PIN code has 3 letters. How many different PIN codes are possible if 3 of the same letter are not allowed (like AAA), but two of the same are allowed (AAB,ABA and BAA)?
Click here to see answer by nyc_function(2741)

Question 278516: How many 3 letter arrangements are possible using the 26 letters of the alphabet if no letter can be used more than once?
Click here to see answer by checkley77(12844)

Question 278592: rewrite as a numeral. Three and twenty-five ten-thousandths
Click here to see answer by rfer(16322)

Question 278591: if an automobile license plate contains 3 numbers followed by 3 letters, how many different license plates are possible?
Click here to see answer by rfer(16322)

Question 278601: in a shipment of 11 CD players, two are defective. Find the probability that a sample of 2 CD players will not contain any that are defective.
Click here to see answer by edjones(8007)

Question 278890: How many different sandwiches can you make if you can choose exactly four items out of six?
Click here to see answer by Grinnell(63)

Question 278890: How many different sandwiches can you make if you can choose exactly four items out of six?
Click here to see answer by Alan3354(69443)

Question 278962: Complete the following:

(a) 1400 ft2 = _________ yd2
(b) 1/9 yd3 = _________ ft3
(c) 4.5 lb = _________ oz
(d) 32 �C = _________ �F

Click here to see answer by checkley77(12844)

Question 279948: How many four-letter codes can be formed using the letters A, B, C, D, E, and F? Repeated letters are allowed.
Click here to see answer by Alan3354(69443)

Question 280037: a box contains 7 large red marbles 5 large yellow marbles 3 small red marbles and 5 small yellow marbles. if a marble is drawn at random what is the probability that is yellow, given that it is one of the large marbles
Click here to see answer by checkley77(12844)

Question 280036: abelardo wants to create several different 7-charcater screen names. he wants to use arrangements of the first 3 letters of his first name (abe), followed by arrangements of 4 digints in 1984, the year of his birth. how many different screen names can he create in this way?
Click here to see answer by checkley77(12844)

Question 279464: you are choosing a computer password. The password has 3 lowercase letters followed by 2 digits....how many passwords are possible if there are no restrictions?
Click here to see answer by brucewill(101)

Question 281090: In how many different ways can a 10-digit number be arranged using five 5's and five 5's?
Click here to see answer by Alan3354(69443)

Question 281084: you are hosting a dinner party where there will be 14 persons. your main table seats 10 and 4 people will need to sit at an auxiliary table. how many possibilities do you have for selecting 4 people to sit at the auxiliary table?
Click here to see answer by checkley77(12844)

Question 281082: you are hosting a dinner party, where there will be 8 persons at a table that seats 8. how many different ways are there to seat the people? 8 persons at a table that seats 10?
Click here to see answer by edjones(8007)

Question 281269: an accounting manager wants to form a three person committee from the 16 employees in the department, how many ways can the manager do this?
thanks
Click here to see answer by Edwin McCravy(20054)

Question 281338: There is a class of 20 with 13 boys and 7 girls.
A) how many ways are there to form a committee of 3 boys and 3 girls?
B) A committee will be formed by randomly selecting 6 persons. what is the probability that the committee will have 3 boys and 3 girls
Click here to see answer by stanbon(75887)

Question 281343: how many 4 card hand can you make out of a deck of card
Click here to see answer by stanbon(75887)

Question 281343: how many 4 card hand can you make out of a deck of card
Click here to see answer by Edwin McCravy(20054)

Question 281378: If you have 4 bathing suits, 5 towels, and 2 bathing caps. How many different combinations of 1 of each can you make?
Click here to see answer by graphmatics(170)

Question 281377: If you have 4 bathing suits, 5 towels, and 2 bathing caps. How many different combinations of 1 of each can you make?
Click here to see answer by subudear(62)

Question 281379: If you have 4 bathing suits, 5 towels, and 2 bathing caps. How many different combinations of 1 bathing suit, 1 towel, and 1 bathing cap can you create?
Click here to see answer by edjones(8007)

Question 281322: suppose a license plate consists of five different letters.
a) How many five-letter license plates are possible?
b) In how many ways can a five-letter license plate be made with the letters from APRIL if none of the letters are repeated?
c) suppose a license plate is assigned randomly. What is the probability that it will contain the letters from APRIL?
Click here to see answer by edjones(8007)

Question 281485: You flip a coin 10 times.What is the P(8H)?What is the P(>8H)?
Please answer this question.
Click here to see answer by stanbon(75887)

Question 281485: You flip a coin 10 times.What is the P(8H)?What is the P(>8H)?
Please answer this question.
Click here to see answer by solver91311(24713)

Question 281626: What is the number of possible license plates that do not contain a �B� or a �D�?
Click here to see answer by richwmiller(17219)

Question 281958: P(x) = x^3-6x^2+11x-6, 3 is a zero, find all zeros
Click here to see answer by richwmiller(17219)

Question 282023: HOW many ways can 4 textbooks be chosen from 8 textbooks in a locker?
Click here to see answer by Edwin McCravy(20054)

Question 282452: How many sets of four numbers can be chosen from a collection of ten, without regard to order? For example, if I have a set of integers 1 through 10, a subset of four might be 1,2,3,and 4. If I count that as one possible subset, then I do not count 4,3,2,and 1, since I am not concerned with order. Thanks.
Click here to see answer by user_dude2008(1862)

Question 282563: How many different license plates can be formed by one letter followed by 2 numerals? The two numerals may be the same.
Click here to see answer by user_dude2008(1862)

Question 282559: a student has 2 small books, five medium sized books, and three large ones. If all the books are different, how many ways can they be arranged on a shelf so that all books of the same size are together.
Click here to see answer by checkley77(12844)

Question 282948: Evaluate each expression.
(55) (7)
23 and 5
Click here to see answer by richwmiller(17219)

Question 283249: please help me solve this equation. what is the slope of line ((8x+12y+5=0 is))
Click here to see answer by richwmiller(17219)

Question 283251: please help me solve this equation. find the zero of ((y=2x^2+x-6))
Click here to see answer by vleith(2983)

Question 283307: Hi I've done these questions 3 times and still getting them wrong could someone please help. A board game involves guessing which 1 of 6 characters commited mrder in 1 of 9 rooms with 1 of 6 possible weapons.
a) How many different guesses can be made if 1 character, 1 room, and 1 weapon must be guessed?
b) You are dealt 6 cards that allow you to eliminate 2 characters and 4 rooms. How many different guesses remain if 1 character, 1 room, and 1 weapon must be chosen?
Click here to see answer by Alan3354(69443)

Question 283392: I am having trouble figuring this problem out.
What is the probability of getting a license plate that has a repeated letter or digit if the sequence is 6 letters followed by 2 numerals, followed by 1 letter (rounded to the nearest 10th. The answer I am coming up with is 76.9%, which is apparently not right. This is how I was figuring it up.
(25/26)(24/25)(23/24)(22/23)(21/22)(20/21)+(9/10)(8/9)+(19/20)
Click here to see answer by Edwin McCravy(20054)

Question 283804: in how many ways can you choose 2 side dishes out of 8?
Click here to see answer by solver91311(24713)

Question 284009: How many different ways are there for a business to select a group of 5 employees for a committee to plan a party from a group of 17 staffers?
Not sure whether yo use Permutation or Combination
Click here to see answer by solver91311(24713)

Question 284028: How many ways are there to select 3 books from a shelf of 20 books?
Click here to see answer by jim_thompson5910(35256)

Question 284028: How many ways are there to select 3 books from a shelf of 20 books?
Click here to see answer by solver91311(24713)

Question 284257: A teacher gives a quick quiz that has 4 true/false questions and 2 multiple choice questions, each of which has 5 answer choices. In how many ways can the quiz be answered if one answer is given for each question?
Click here to see answer by solver91311(24713)

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