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

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Question 948072: If you have eight individuals available, how many ways are there to choose four individuals from the eight individuals.
A. When the order is not important?
B. When the order is important?

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Question 948177: A student is asked to answer 12 out of 14 questions on an exam. In how many ways can she select the questions to be answered?
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Question 948177: A student is asked to answer 12 out of 14 questions on an exam. In how many ways can she select the questions to be answered?
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Question 948184: how many 3-digit area codes are there for a telephone company if the first digit must not be 0 or 1 and the second digit must be 0 or 1?
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Question 948306: In how many ways can 14 students be seated in a row of 14 chairs if Jaime insists on sitting in the first chair?
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Question 948305: Missing no. - 4,18,?,100,180,294
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Question 948476: Tarot cards are used for telling fortunes, and in a reading, the arrangement of the cards is as important as the cards themselves. How many different readings are possible if three cards are selected from a set of seven Tarot cards?

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Question 948489: how many permutations are there of the following word? COMBINATORICS
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Question 948430: Determine the number of ways in which a manufacturer can choose 2 of 15 locations for a new warehouse.
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Question 948338: Hw many four and five digit numbers can be formed using the digit 5000? (If no repetition allowed) (ii) how many will be less than 5000
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Question 948704: Brad and Janet are getting married. They have a wedding party of 5, with 3 bridesmaids and 2 groomsmen.
In how many different ways can 4 of the 5 members of the wedding party line up do a Photo?
I have done 4! And got 24 ways, but I am not sure if this is right. Could you please help?

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Question 948783: In how many ways can 14 students be seated in a row of 14 chairs if Tevin insists on sitting in the first chair?
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Question 948906: -+-+-=30 fill the boxes using (1,3,5,7,9,11,13,15) u can also repeat the numbers
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Question 948943: How many ways can 3 cards from a deck of 52 cards be laid out in a row face up?

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Question 948947: from a list of 12 books, how many groups of 5 can be selected?
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Question 949060: a student is asked to answer 9 out of 12 questions on an exam.In how many ways can she select the questions to be answered

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Question 949160: these are no1,3,5,7,9,11,13,15 any type add becomes a answer 30 in five boxes.

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Question 949166: license plate begins with 3 letters. If the possible letters are A, B, C, D, E, and F, how many of these letters can be made if no letter is used more than once?!
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Question 948972: Is there a difference in number of combinations for the two passwords:
PASSWORD A
8 characters, at least one character out of each of the 4 groups
a-z, A-Z, 0-9 and !"§$%&/
PASSWORD B
8 characters, at least one character out of three out of the same 4 groups

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Question 949180: -+-+-=30 (1,3,5,7,9,11,13,15) we can use repeat numbers.
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Question 949395: How many different letter arrangments can be made from the leters in the word
PROBABILITY?

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Question 949376: Find how many different odd 4-digit numbers less than 4000 can be made from the digits
1, 2, 3, 4, 5, 6, 7 if no digit may be repeated.

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Question 949131: A group of nine women and six men must select a four-person committee. How many committees are possible if it must consist of the following?
(a) two women and two men

(b) any mixture of men and women

(c) a majority of women

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Question 949017: If A and B are independent events, P(A) = 0.35, and P(B) = 0.35, find the probabilities below. (Enter your answers to four decimal places.)
(a) P(A ᑎ B)

(b) P(A ᑌ B)

(c) P(A | B)

(d) P(Ac ᑌ Bc)

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Question 949424: The personal identification number for a mobile phone consists of a four-digit number which is formed from the digits 0 to 9 inclusive.
How many PIN numbers are possible?

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Question 949467: HOW MANY FOUR DEGIT NUMBERS CREATED USING 0 - 9?
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Question 949682: A book club offers a choice of 3 books from a list of 30. How many different selections of 3 different books each can be made from this list?
I TRIED 30*29*28= 24360 THEN DIVIDED THAT BY 3 AND GOT 8120
BUT IT WAS STILL WRONG.

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Question 948073: There are 13 indistinguishable math books and 5 indistinguishable physics books
that are to be placed on a bookshelf so that between any two physics books there
must be at least 2 math books. In how many different ways this can be done

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Question 949746: 7 freshmen, 6 sophomores, 7 juniors, and 4 seniors are eligible to be on a committee.
In how many ways can a dance committee of 18 students be chosen if it is to consist of at least 1 freshmen, 1 sophomore, 2 juniors, 2 seniors, and the rest can be of any grade?

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Question 950000: How many odd three numbers can form from 1,3,5,7,9 and the digits can repeat
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Question 950211: you have a deck of 26 cards, each labeled with one of the 26 letters of the alphabet.(each letter appears once)Suppose you choose 3 cards at random, one at a time. What is the probability that you choose ur cards in alphabetical order? (Choosing G, then R, and then X not S, A, and P) Give an exact answer not an approximation and explain how u came to ur conclusion.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 950045: Three men and four women are to line up for a picture with the three men in the middle. How many ways can this be done? (Assume there are two women on each side of the group of men)
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Question 949889: How many 3 number combinations can be made with these 6 numbers 242200.
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Question 950645: in how many ways can 6 people apply for 2 different jobs?
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Question 950643: _+_+_=30 (1, 3, 5, 7, 9, 11, 13, 15) you can repeat the number
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Question 950621: please help me solve the combination.
6 freshmen, 7 sophomores, 4 juniors, and 6 seniors are eligible to be on a committee.
In how many ways can a dance committee of 18 students be chosen if it is to consist of at least 1 freshmen, 1 sophomore, 2 juniors, 2 seniors, and the rest can be of any grade?
Email- AMY2168935@maricopa.edu

Click here to see answer by Theo(13342) About Me 

Question 950954: in how many ways cold the letters in the word "storage" be arranged if the vowels must remain in
a)even positions?
b)odd positions?
c)even or odd positions?

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Question 950549: 1. A password must be 6, 7, or 8 characters long, and may include capital letters, lower-case letters, or digits. In how many ways could this be done

a. with no restriction?

b. with no repetition permitted?

c. if at least one of the characters in part a) must be a digit?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 950980: A 5k run has 50 people participate in it. The race directors give out medals to the athletes that place 1st, 2nd, or 3rd. How many different combinations of 3 runners could make up the top 3 out of the 50 runners total?
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Question 951079: Bills of Four Denominations Duc Tran’s wallet contains 8 bills of the following denominations: four $5 bills, two $10 bills, one $20 bill, and one $50 bill. If Duc selects two bills at random, determine the probability that he selects two $5 bills.
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Question 951139: In a class, 3/4 likes basketball but 7 children don't. How many are in the class.
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Question 951139: In a class, 3/4 likes basketball but 7 children don't. How many are in the class.
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Question 951423: Solve this: _+_+_=30 Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15) U can also repeat the numbers.
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Question 951634: On a 7 by 7 chessboard, two of the squares are colored orange and the remaining squares
are colored blue. Under these conditions, how many distinct colorings are possible?
(Do not count two colorings as distinct if one can be obtained from the other by rotating
the chessboard.)

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Question 413523: Four-Digit Number. How many four-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if the first digit cannot be 0? Repeated digits are allowed.

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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