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

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Question 843873: how many ways can you pick a president, vice president and secretary from a group of 6 boys and 5 girls? a) if there must be atleast one boy chosen. b) there must be only one girl chosen?
Click here to see answer by smith123(15) About Me 

Question 843930: digits:1,2,3,4,5,6,7,8,9
a)how many 5 digit numbers are there that exclude 0 and 7
b) How many of them start with an even number
c) how many of them start and end with and even number

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

Question 843931: In how many ways can the word 'boy' be rearranged
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Question 842974: We are to seat 10 boys and 7 girls in a circular arrangement. (no girl to sit next to a girl) if we the girls are adjacent and we must use all 10 boys. i mean at least 1 boy can be placed between any girl.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 842974: We are to seat 10 boys and 7 girls in a circular arrangement. (no girl to sit next to a girl) if we the girls are adjacent and we must use all 10 boys. i mean at least 1 boy can be placed between any girl.
Click here to see answer by AnlytcPhil(1806) About Me 

Question 843372: how many even numbers between 300 and 800 can be formed using the elements from the set {1,2,4,5,6,9} if no elements can be used more than once?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 842956: How many different words can be formed using all the letters of the word MISSISSIPPI? In how many of these permutations do the four ‘I’s not come together?
What do I do?

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

Question 843940: digits:1,2,3,4,5,6,7,8,9 No repetition is allowed
a)how many 5 digit numbers are there that exclude 0 and 7
b) How many of them start with an even number
c) how many of them start and end with and even number

Click here to see answer by Edwin McCravy(20054) About Me 
Question 843940: digits:1,2,3,4,5,6,7,8,9 No repetition is allowed
a)how many 5 digit numbers are there that exclude 0 and 7
b) How many of them start with an even number
c) how many of them start and end with and even number

Click here to see answer by AnlytcPhil(1806) About Me 

Question 844014: If there are 3 different types of apples in a dish, how many must be picked at random to ensure you will have two of the same kind?
Click here to see answer by stanbon(75887) About Me 

Question 844006: How many different four character passwords can be formed from the numerals 0-9 and the lowercase letters of the alphabet if repetition is allowed? How many can be formed if repetition is not allowed
Click here to see answer by Fombitz(32388) About Me 

Question 844068: how many ways 20 students can sit in a class of 30 chairs ?

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Question 844095: Hamilton Middle School assigns a four-digit identification number to each student. The number is made from the digits 1, 2, 3, and 4, and no digit is repeated. If assigned randomly, what is the probability that an ID number will end with a 3?
Click here to see answer by ewatrrr(24785) About Me 

Question 844102: How many different ways are there to arrange 5 cards?
Click here to see answer by Alan3354(69443) About Me 

Question 844393: I need help with this question on my homework. The answer I have gotten is 7/45. Please help me solve this word problem: If a committee of five is to be chosen from six males and eight females, what is the probability that the committee will be all male or all female?
Click here to see answer by stanbon(75887) About Me 

Question 844392: There are 12 videotapes arranged in a row on a shelf in a video shop. There are three identical copies of Gone with the wind, 4 of Tootsie and 5 of Gladiator. *
(i)How many different arrangements of videotapes are there? (Is it 12! ?)
(ii) How many different arrangements are there if videos with the same titles are grouped together?
(iii) The 12 videotapes are arranged at random in a ow of the shelf. Find the probability that the arrangement has a copy of Gone with the Wind, at the end of one row, and a copy of Gladiator at the other end.
Thanks!! :)

Click here to see answer by stanbon(75887) About Me 

Question 844564: If there are 15 entrees 11 sides and 4 beverages on a kids menu how many possible combinatioins are there?
Click here to see answer by stanbon(75887) About Me 

Question 844537: You are playing cards with a friend. How many 5 - card hands are possible that contain one king and one queen?
Click here to see answer by Alan3354(69443) About Me 

Question 844908: A class contains 8 boys and 14 girls. Two students are to be selected as student council representatives. What is the probability both are boys?
Click here to see answer by Theo(13342) About Me 

Question 844978: How many three-digit numbers may be formed using the elements from the set {1,2,3,4,5} if no elements may be used more than once in a number and both even and odd elements from the set must be used in each number?
Click here to see answer by ewatrrr(24785) About Me 

Question 844973: How many ways can first and second place be rewarded to 12 people?
Click here to see answer by ewatrrr(24785) About Me 

Question 845485: there are 4 gates in a college. in how many ways can a person enter the college by a gate and leave by a different gate?
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Question 845503: In how many different ways can 6 students be assigned to 6 seats that are arranged:
In a circle?

Click here to see answer by richard1234(7193) About Me 

Question 845602: An oil-drilling company knows that it costs $25,000 to sink a test well. If oil is hit, the income for the drilling company will be $425,000. If only natural gas is hit, the income will be $130,000. If nothing is hit, there will be no income. If the probability of hitting oil is 1/40 and if the probability of hitting gas is 1/20, what is the expectation for the drilling company?
$
Should the company sink the test well?
Yes No

Click here to see answer by ewatrrr(24785) About Me 

Question 845625: A password for a computer account must contain five characters, and letters and digits may be used. Find the number of passwords possible if repetition is allowed.
Click here to see answer by Fombitz(32388) About Me 

Question 846056: Please help me solve this equation: (x^12 + y^2)^14
Click here to see answer by ewatrrr(24785) About Me 

Question 846062: Please help me solve this problem: What is the coefficient of x^7 in (3 + x)^12
Click here to see answer by Fombitz(32388) About Me 

Question 845593: How many ways can three items be selected from a group of six items? Use the letters A,B,C,D,E, and F to identify the items, and list each of the different combinations of three items.
I need help listing them. Thanks!

Click here to see answer by richard1234(7193) About Me 

Question 846176: There are 11 questions on an examination, and each student must answer 8 questions including at least 4 of the first 5 questions. How many different combinations of questions could a student choose to answer?
Click here to see answer by ewatrrr(24785) About Me 

Question 846262: Consider numbers of length 5 over the ten digits 0 to 9. Suppose repetition is allowed. The numbers may begin with 0.
a) How many of these numbers have no 0?
b) How many of there numbers have at least one 0?
c) How many of these numbers have exactly three 0s?

Click here to see answer by stanbon(75887) About Me 

Question 846450: The digits 5,6,7 and 9 can be arranged to make a even 5 digit numbers
How many different even numbers can be made

Click here to see answer by Fombitz(32388) About Me 

Question 846549: a group consists of 7 boys and 5 girls. find the number of ways in which a team of 5 members can be selected so as to have at least one boys and one girl.
Click here to see answer by ayman.nazeer(1) About Me 

Question 846269: a seven digit phone number consists of a three-digit prefix followed by four digits. How many different phone numbers are possible for a particular prefix?
Click here to see answer by Fombitz(32388) About Me 

Question 846662: The letters a,b,c,d are to be arranged in a row with each letter being used only once and once only. In how many ways can this be done?
Click here to see answer by stanbon(75887) About Me 

Question 846959: there are 18 men and 14 women, in how many ways can you choose 2 equal rank secretaries and 3 equal rank treasurers?
Click here to see answer by stanbon(75887) About Me 

Question 846745: how many five digit numbers can be made using the digits 1,2,3,4,5?

Click here to see answer by Fombitz(32388) About Me 

Question 847008: how many 3 digit numbers can be made using the digits 1,2,3,4,6,7 if no digits are repeated

Click here to see answer by ewatrrr(24785) About Me 

Question 847068: Susan's company has just won an important new contract. She will have to assign a project team of at least 4 of her 11 staff members to this contract in order to complete it on time. If no more than 5 staff members can be spared from other work, how many different project teams could Susan form for the new contract?
Click here to see answer by ewatrrr(24785) About Me 

Question 847067: A pizza place offers 7 meats and 12 vegetables as toppings. On Wednesdays, they offer a carry out deal: a large pizza with 2 meat and 2 veggies for $7. How many different arrangements of toppings can be made for the special?______What is the probability of a random customer choosing the toppings pepperoni, sliced sausage, mushrooms, and green peppers?______(to 4 decimal places)?
Click here to see answer by ewatrrr(24785) About Me 

Question 847062: John has collected 14 hockey cards. Use combinations to find the number of ways he could choose 5 to put on the cover of his album.
Click here to see answer by ewatrrr(24785) About Me 

Question 847114: There are 10 female board members and 20 male board members.
How many ways are there to make a committee of 17 board members if exactly 6 must be female?

Click here to see answer by ewatrrr(24785) About Me 

Question 847168: combine like terms -7(5+9y)
Click here to see answer by astevn816(5) About Me 

Question 847178: How many different groups of three can be formed with six items?
Click here to see answer by swincher4391(1107) About Me 

Question 748711: Can you please help me with this question?
Two dice are rolled. What is the probability the sum of the two dice will be a prime number?

Click here to see answer by JeeJa(1) About Me 

Question 370261: what are all of the possible combinations that can be made of 4 digits using numbers 0-9?
Click here to see answer by Year 11 kid(1) About Me 

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