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

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Question 1078757: A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the following probability. (Enter your probability as a fraction.)
The number on the upward face is not 12.

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Question 1078756: Assume that it is equally likely for a child to be born a boy or a girl, and that the Lin family is planning on having three children.
List the elements of the event that the Lins have at least one girl. (Use B to represent boy, and G to represent girl. For example, if there are three girls born, it would be represented as GGG. Enter your answers as a comma-separated list.)

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Question 1078754: A committee of 6 people is chosen from 7 women and 7 men. How many different committees are possible that consist of 3 women and 3 men?
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Question 1078755: Evaluate the expression.
If
P(n, 5) = 2520, find n.

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Question 1078622: One of Shakespeare's sonnets has a verb in 13 of its 19 lines, an adjective in 12 lines, and both in 9 lines.
How many lines have a verb but no adjective?

How many lines have an adjective but no verb?

How many have neither an adjective nor a verb?

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Question 1078802: A catering service offers 7 appetizers, 9 main courses, and 11 desserts. A banquet chairperson is to select 2appetizers, 2 main courses, and 9desserts for a banquet. In how many ways can this be done?
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Question 1078797: n! * (n+2)! = (2n)!
Find n=??

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Question 1078752: Evaluate the expression.
P(7, 2) · P(4, 3)

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Question 1078752: Evaluate the expression.
P(7, 2) · P(4, 3)

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Question 1078801: There are 25 students in a class. Of these, 14 speak Spanish, 12 speak French, 6 speak French and
Spanish, 5 speak German and Spanish, 2 speak all three languages. Each of the 6 who speak German
speaks another one of these languages as well.
(a) How many speak both French and German?
(b) How many speak none of these three languages?

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

Question 1078590: You and your best friend are two of the eight players on the varsity golf team your coach randomly pairs up the players to play a practice round of golf what is the probability that you and your best friend are paired up
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Question 1078954: a lunch menu consists of 6 different kinds of sandwiches, 3 different kinds of soup, and 6 different drinks. how many choices are there for ordering a sandwich, a bowl of soup, and a drink?
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Question 1079029: 1.If a couple wants to have three or four children, including exactly two girls, what is the probability that their wish will come true?
The solution is 3/4 but Im not getting that please help
shonhardy@yahoo.com

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Question 1079029: 1.If a couple wants to have three or four children, including exactly two girls, what is the probability that their wish will come true?
The solution is 3/4 but Im not getting that please help
shonhardy@yahoo.com

Click here to see answer by natolino_2017(77) About Me 

Question 1079075: In how many ways can a committee consisting of 3
faculty members and 5
students be formed if there are 9
faculty members and 14
students eligible to serve on the committee?

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Question 1078928: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain exactly two 4s and two 6s.
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Question 1079007: there are 10 toys available for purchase and they are all different. How many distinguisable ways are there for Diane to buy 3 toys if she is sending them to 3 different nephews living in 3 different households?
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Question 1079203: how many different flags can be prepared from 6 colours if each flag consists 3 colour
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Question 1079331: There are fifteen girls and three boys in a dance class. If a leader is chosen at random, what is the probability a boy is chosen?
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Question 1079308: A catering service offers 12 appetizers, 7 main courses, and 3 desserts. A banquet chairperson is to select 6 appetizers, 2 main courses, and 2 desserts for a banquet. In how many ways can this be done?
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Question 1079343: Santa's elves are creating treat bags containing a selection of Kit Kats, Reese's cups and Almond Joys.
(A) How many different types of bags can they make containing 15 chocolate bars.
(B) How many different types of bags can they make containing 15 chocolate bars if Santa wants to have at least 1 Kit Kat(s), 2 Reese's cup(s) and 2 Almond Joy(s) in the bag.

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Question 1079418: I need an example of finding the value of each expression for 2!

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Question 1079650: A catering service offes 9 appetizers, 12 main courses, and 7 desserts. A banquet chairperson is to select 6 appetizers, 5 main courses, and 2 desserts for a banquet. In how many ways can this be done?

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Question 1079692: how many different outfit combinations do you have with 3 shirts 4 pants and 2 sweatshirts
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Question 1079701: There are 15 students in a math class. Three students will be selected to present their term projects today. In how many different orders can three students be selected?
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Question 1079699: there are six flavors of ice cream and three different types of cones. how many different arrangements can you have?
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Question 1079700: you are purchasing a car, there are two different model, five different colors, and three different models. draw a tree diagram to illustrate the different options.
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Question 1079899: An employer interviews 10 people for 6 management positions in a company, and
5 of the 10 people are men. If all 10 are qualified, in how many ways can the employer fill the management positions if exactly 3 are men?

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Question 1080015: You can answer any 20 questions from the 24 questions on an exam. In how many different ways can you choose the 20 questions, assuming that the order in which you choose the questions is irrelevant?
(If necessary, consult a list of formulas.)

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Question 1079990:
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Question 1080020: catering service offers 3 appetizers,12 main courses, and 11 desserts. A banquet chairperson is to select2 appetizers, 9 main courses, and 9desserts for a banquet. In how many ways can this be done?
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Question 1080502: Betty is three times older than her oldest child the two children are three years apart in that sums to 52
Click here to see answer by josgarithmetic(39617) About Me 

Question 1080477: Wanting to see problem broke down, so I can learn the process.
Mega Millions is the lottery currently played in Illinois. Mega Millions uses a 5/69 (white balls) +1/26 (powerballs) matrix from which winning numbers are chosen. In other words you choose 5 white numbers (1-69) and 1 powerball (1-26). How many possible lottery combinations are there?

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Question 1080476: Suppose Elaine has forgotten her person PIN number to her on-line checking account that contains five numbers or letters and they can repeat. If she types in a different arrangement every 12 seconds, how long will it take her to try all the possible arrangements, to the nearest second?
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Question 1080475: Suppose Danny has forgotten his locker combination. There are three numbers in the combination and he knows they can repeat. The numbers go from 0-39. If he tries one combination every 8 seconds, how long will it take him to try every possible combination?
Thanks, looking to see the problem worked out.

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Question 1080474: Hi, I am looking to see how this problem is solved. Thanks!
Suppose Mark has forgotten the password to his on-line account that contains six letters or numbers, and they don't repeat. If he types in a different arrangement every 10 seconds, how long will it take him to try all the possible arrangements?

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Question 1080673: How many words can be fromed of the letters in the word COSTING, the vowel being not separated?
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Question 1080715: from 5 statisticians and 6 mathematicians a committee consists of 3 statistician and 2 mathematicians is to be formed . how many different committees can be formed if:
a. there is no restriction
b. 2 particular statisticians must be in the committee
c. one particular mathematician can not be in the committee

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Question 1080711: if 4 Americans, 3 French men and 3 Ethiopians are to be seated in a row , how many seating arrangements are possible when people of the same nationality must sit next to each other ?
Click here to see answer by josmiceli(19441) About Me 

Question 1080697: a manager wants to assign 20 workers to 4 district construction job. these jobs require 6,4, 3 and 7 workers respectively. in how many different ways can the manager assign the worker ?
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Question 1080978: The limit of x^4 + 3x^2 + 7 as x approaches -3

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Question 1081006: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 11 faculty members and 15 students eligible to serve on the committee?
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Question 1080977: nc1+2nc2+3nc3+...+nncn
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Question 1081021: 1 3 6 9
6 8 7 3
2 4 ? 6
6 4 7 2

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Question 1081022: 1 3 6 9
6 8 7 3
2 4 ? 6
6 4 7 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