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

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Question 791041: A group of 11 students selected at random secured the grade points: 1.5, 2.2, 0.9, 1.3, 2.0, 1.6, 1.8, 1.5, 2.0, 1.2 and 1.7 (out of 3). Use the sign test to test the hypothesis that intelligence is a random function (with a median of 1.8) at 5% level of significance.
1 solutions

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Question 791206: A committee consists of ten women and eight men. Two committee members will be chosen as officers.
How many different choices are possible?

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Question 791214: A tee ball team for 5 year olds has half as many girls as boys. If there are 15 children on the team, how many are boys and how many are girls?
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Question 791237: A license plate is denoted by LLNNN, where L is a letter and N is a
digit. It is required that the first digit be greater than zero. Find probability
of a license plate with two vowels (a,e,i,o,u) and three identical
digits

Click here to see answer by stanbon(75887) About Me 
Question 791237: A license plate is denoted by LLNNN, where L is a letter and N is a
digit. It is required that the first digit be greater than zero. Find probability
of a license plate with two vowels (a,e,i,o,u) and three identical
digits

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

Question 791553: In how many ways can 16 students be grouped into pairs for a field trip?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 791716: How many ways can you arrange the letters a e l p t in alphabetical order
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Question 795369: A secret code for a bank vault consists of 4 letters, then 4 digits and then 4 more letters.
Question: How many codes are possible if repeats are not allowed and the second letter must be 'G' and the first digit must be '0'?

I have tried this (26*1*24*23*1*9*8*7*22*21*20*19) but when I submit it the answer comes back incorrect. I would appreciate any help thanks.

Click here to see answer by Alan3354(69443) About Me 
Question 795369: A secret code for a bank vault consists of 4 letters, then 4 digits and then 4 more letters.
Question: How many codes are possible if repeats are not allowed and the second letter must be 'G' and the first digit must be '0'?

I have tried this (26*1*24*23*1*9*8*7*22*21*20*19) but when I submit it the answer comes back incorrect. I would appreciate any help thanks.

Click here to see answer by josmiceli(19441) About Me 

Question 795377: i recently changed my password and i know its 4 numbers 2107 but i cant get in on that which im sure i used what other combinations are there and i know i started with 2
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 795723: 10 flavors of ice cream 7 kinds of toppings how many different selections of one flavor of ice cream and one kind of topping are possible
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Question 795811: "Jeremy decided to read the first five books of the Old Testament. If he read one book at a time, how many different ways could he read the books?"

Click here to see answer by Alan3354(69443) About Me 

Question 795812: Messages are sent from Jesus to seven different churches. In how many different orders could the churches have received the messages?
I originally did the permutation formula, but it gave me the answer "7" which just doesnt sound right to me... Help?
Thanks.

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Question 795810: Any help would be appreciated!
While at a restaurant offering a special for three course combinations, Josh could order three sections off a ten item menu. Josh, however, decided he only wanted to be served one course at a time. How many different ways could Josh have ordered his meal?
(I originally thought I should use the combination formula, but then it says he decided to only get one meal at a time, so I didnt know if I should use the permutation formula instead?)
Thanks!

Click here to see answer by Alan3354(69443) About Me 

Question 796259: How many distinct arrangements can be made with the letters in the word SATELLITE?
A) 90,720
B) 45,360
C) 42,920
D) 234

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

Question 796313: A combination dial lock has thirty numbers on it. If the combinations has three numbers to it, how many different combinations could it have? A number can be repeated.
Click here to see answer by Alan3354(69443) About Me 

Question 796324: how many permutations can be formed from five types of trees each of which is composed of two trees? without repeating
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Question 796533: A committee of 3 juniors and 3 seniors is to be formed from the members of a club having 18 juniors and 15 seniors. How many different committees are possible?
Click here to see answer by stanbon(75887) About Me 

Question 796720: how many group of seven numbers are there in 1 to 50

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Question 798300: how to find out in a question that there is a permutation or combination
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Question 798304: I have two baskets. one with n apples and one with m oranges.
How many ways can the fruits be ordered?

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Question 798283: Suppose we have ten rooms and want to assign five of them to five programmers as offices and use the
remaining five rooms for computer terminals. Explain in how many ways this can be done.

Click here to see answer by richwmiller(17219) About Me 

Question 798435: A company that makes crayons is trying to decide which 5 colors to include in a promotional mini-box of 5 crayons. The company can choose the 5 mini-box colors from its collection of 65 colors. How many mini-boxes are possible?
Click here to see answer by FrankieVlad(2) About Me 

Question 798645: Aaron is painting three rooms in his house. He has narrowed his paint choices down to eight. If he can choose the same color for more than one room, how many paint combinations does Aaron have?
Click here to see answer by Finavon(81) About Me 
Question 798645: Aaron is painting three rooms in his house. He has narrowed his paint choices down to eight. If he can choose the same color for more than one room, how many paint combinations does Aaron have?
Click here to see answer by sundararajchinnasamy(2) About Me 

Question 798685: in how many ways may the position of president and vice president be given to 6 nominees??
Click here to see answer by Finavon(81) About Me 

Question 798821: number of ways of selecting 4 men from the row of 10 men such that no two are adjacent to each other
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Question 798226: 30 members in the club, with 18 men and 12 women. What is the smallest committee size that guarantees having at least three female members?
Click here to see answer by tommyt3rd(5050) About Me 
Question 798226: 30 members in the club, with 18 men and 12 women. What is the smallest committee size that guarantees having at least three female members?
Click here to see answer by thepelster(3) About Me 

Question 799018: From a group of 4 males and 4 females a committee of 5 is to formed. One president, one vice president and three secretaries. What is the number of ways if at least 3 women need to be selected such that at least one women is president or vice president.
Click here to see answer by Finavon(81) About Me 

Question 799181: If there is 16 side dishes and you have to choose 3, how many different options are there?
Click here to see answer by Alan3354(69443) About Me 

Question 799232: how many numbers consisting of the digits from 3,5,7,9 can be made if (a)each digit is to be used only once (b) repetition is allowed.
Click here to see answer by thejackal(72) About Me 
Question 799232: how many numbers consisting of the digits from 3,5,7,9 can be made if (a)each digit is to be used only once (b) repetition is allowed.
Click here to see answer by solver91311(24713) About Me 

Question 800022: there are 4 large trains and 5 small trains. the large trains have 12 more seats per train than the small trains. the sum of all their seats is 336. How many seats are on the large trains?....I need to know how to write out an equation for this so I can solve it
Click here to see answer by mananth(16946) About Me 

Question 800236: math club with five members wants to select a president and a vice president. In how many ways can this be done?

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

Question 800828: From a group of 8 men and 7 women a committee consisting of 4 men and 3 women is to be formed.How many different committees. is possible if :
a) 2 of the men refuse to serve together?
b) 2 of the women refuse to serve together?
c) 1 man and 1 woman refuse. to serve together?

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

Question 800954: using the digits 0,1,2,2,3 how many numbers greater than 20000 can be made ?

Click here to see answer by tommyt3rd(5050) About Me 

Question 801712: Question 1: If four colors are used to shade in a map of the 50 US states, show that at least 13 of them are shaded using the same color.
Question 2: 35,001 people attended a game. Is it a certainty that at least two of those people share the same three-lettered set of initials?

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Question 802069: Use the counting techniques from the last chapter. A bag contains two red marbles, four green ones, one fluorescent pink one, two yellow ones, and two orange ones. Suzan grabs three at random. Find the probability of the indicated event.
She gets all the red ones, given that she gets the fluorescent pink one.
I don't understand how to set up this problem!

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

Question 257465: . A single card is drawn at random from a deck of 52 cards. Jack, Queen, and King are considered the only picture cards. Find the probability that the card will be a picture card.
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Question 802616: What are all the 5-digit numbers that can be made using only the numbers 1 2 3 4 ?
Click here to see answer by josmiceli(19441) About Me 

Question 802922: two hundred people apply for three jobs. eighty applicants are women. what is the probability that all of them are women?
I am curious if I am on the right track this is what I got for my answer
80C1*120C2/200C3

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

Question 788727: The Students Union council will elect a new Executive Committee, including one president, two vice presidents, three secretaries from 15 candidates. How many arrangements are possible?
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Question 803304: If given the digits 1,3,4,6,7,9, how many 4-digit numbers can be formed if the number must be even and no repetition of digits is allowed? Thank you

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

Question 803314: A committee of six is to be chosen from the 25 members of the student council(inculding the executive) to organize sprit week activities. In how many ways can this be done if;
a) There are no restrictions
b) There are 14 junior council members and 11 senior members; the committee must include four junior members and 2 seniors.
c) the social director and student council vice-president must be on the committee.
d) there must be at least two of the six executive members on the committee.
I only need help on part c) but i thought who ever responded would like all the information.
thank you

Click here to see answer by stanbon(75887) 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