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

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Question 973263: How many possibilities are there for arranging 5 cups and 5 glasses if all the glasses have to stay together? I can figure this out for the 10 possibilities for the cups and glasses, but the fact that the glasses have to stay together is throwing me off. Thanks
Click here to see answer by macston(5194) About Me 

Question 973318: The number of permutations of all the letters of the word 'Mississippi' is?
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Question 973398: A test include the following components 8 true- false questions; five multiple-choice questions, each with three choices and five multiple-choice questions, each with four choices. How many different list of answers are possible for this test
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Question 972587: A party of 6 is to be formed from 10 men and 7 women so as to include 3 men and 3 women. In how many ways the party can be formed if two particular women refuse to join it?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 973466: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 12 faculty members and 15 students eligible to serve on the committee?

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Question 973466: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 12 faculty members and 15 students eligible to serve on the committee?

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Question 973787: 1. Your English teacher has given you a list of 10 possible topics for essays. You need to pick four topics from the list to write about over the school year.
2. How many ways can six kids line up in a single row to have their picture taken?
3. Use the counting principle to determine the number of possible outfits that can be created using one item from each category.
7 shirts
6 pairs of pants
6 pairs of socks
4 hats

Click here to see answer by Boreal(15235) About Me 

Question 973864: a gym class is divided into 6 equal squads at the last gym class squad c had 2 members absent and 7 members present how many members are in the group altogether?
Click here to see answer by LinnW(1048) About Me 

Question 973968: 5 friends 3girls and 2boys! They have to go to market! One time 2girls and 1 boy is allowed n mandatory! How many such pattern can be obtained!
Click here to see answer by Boreal(15235) About Me 

Question 974227: A nursing student can be assigned to one of six different floors each day depending on staffing needs. How many different ways can she be assigned during a 4−day work week?
Click here to see answer by Alan3354(69443) About Me 

Question 974526: How many unique passwords can be created if every password must be five digits and can consist of either letters or numbers, without repeating passwords?
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Question 974527: Ten people qualify for a contest. Considering that there can be no ties, how many different ways could the gold, silver, and bronze medals be awarded for that event?
Click here to see answer by Fombitz(32388) About Me 

Question 974712: A team of seven is to be chosen from 10 men and 12 women. What is the probability the team has at least 1 man? Round to three decimal places?
Click here to see answer by clearyjohn225(6) About Me 

Question 974742: If the fifth term of a geometric progression is -2 and the seventh term is -8, what is the first term? thanks
Click here to see answer by josgarithmetic(39616) About Me 

Question 974798: Find a 4 digit number using the digits 0 to 9, which must include an 8 and be an even number with no repeated digits
Click here to see answer by Alan3354(69443) About Me 

Question 974879: tents hold 2,3,5,6, or 12 people. how many combinations are possible to sleep 18 if all tents are fully occupied and exactly one 12 person tent is being used?
there are _ possible combinations of tents

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Question 974910: How many permutation does the word PLANE has that ends with the letter P?
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Question 974633: How many numbers greater than 600 can be formed from the digits 2,3,4,6 if a. No digit is used twice
b. No such rule exists

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

Question 975064: In an engineering college committee, a president needs to be elected out of 15 eligible candidates. Of these 15 candidates, 7 are female candidates (3 in 3rd year, and rest in 4th year) and 8 are male candidates (5 in 3rd year, and rest in 4th year). What is the probability that the candidate elected is a female from 4th year?
Click here to see answer by stanbon(75887) About Me 

Question 975221: There are seven children to be lined up in a straight line for a photograph
A. How many different ways possible?
b. How many different ways are possible if Sally must be in the middle?
c.How many different ways are possible if Ahmed is on the far left?
d. How many different ways are possible if Hannah and Brian must be together?

Click here to see answer by Boreal(15235) About Me 

Question 975330: check whether 3 + 2x is a factor of 2xcube - 5x .

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

Question 975402: A particular new car model is available with five choices of color, three choices of transmission, four types of interior, and two types of engines. How many different variations of this model care are possible?
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Question 975511: How many permutations are there in the letters
of the word COCKROACH

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Question 973681: How many ways can the letter in the word OPTIMISM be rearranged?
What I did:
2 Is, 2 Ms, 1 O, 1 P, 1 T, 1 S = (8,2)(6,2)(4,1)(3,1)(2,1)(1,1)

which I got +%288%21%2F%284%2A5%21%29%29+
Did I do that correctly?

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

Question 951423: Solve this: _+_+_=30 Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15) U can also repeat the numbers.
Click here to see answer by Hanssilver(1) About Me 

Question 975951: how many signals can be given with three different flags when any number of them may be used?
Click here to see answer by Fombitz(32388) About Me 

Question 975741: seven white balls and three black balls are randomly placed in a row. find the probability that no two black balls r placed together.

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

Question 975714: in how many ways can a batch of 5 teachers be selected out of 10 teachers so that the eldest is included and the youngest is excluded?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 975587: A restaurant is open 7 days a week. 3 employees get to select 1 day off next week randomly. What is the probability that all three select the same day, given that all three select a day beginning with the same letter?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 976201: Spelling Bee Five finalists remains in a high school spelling bee. Two will receive $50 each two will receive $100 each and one will receive $500. How many different arrangements of prizes are possible?
Only 1 right?

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Question 976270: What is the greatest four-digit even number with no repeated digit?
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Question 976269: What is the least four-digit number with no repeated digit?
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Question 976269: What is the least four-digit number with no repeated digit?
Click here to see answer by Alan3354(69443) About Me 

Question 976392: A business employs 125 staff, each of whom has a number from 1 to 125 assigned to them. Three are chosen to participate in a survey. A calculator generates the following three random numbers:
0.051
0.847
0.219
Find the employee numbers of the people who will be chosen to participate in the survey.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 976410: Inverse of the permutations f =( 1,4,2 ) is?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 976400: When the mean of all possible sample means is taken, the result will be:
a- equal to the population mean
b- less than the population mean
c- greater than the population mean
d- impossible to determine

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

Question 976611: Four married couples have brought 8 seats in a row for a concert. In how many different ways can they be seated
a. with no restrictions?
b. if each couple is to sit together?
c. if all men sit together to the right of all women?

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

Question 976610: If a multiple-choice test consists of 5 questions each with 4 possible answers of which only 1 is correct,
(a) In how many different ways can a student check off one answer to each question?
(b) In how many different ways can a student check off one answer to each question and get all the answers wrong?

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

Question 976619: Which of the following pairs of events are mutually exclusive?
A. A golfer scoring the lowest 18-hole round in a 72-hole tournament and losing the tournament.
B. A poker player getting a flush and 3 of a kind on the same 5-card hand.
C. A mother giving birth to a baby child and a set of twin daughters on the same day.
D. A chess player losing the last game and winning the match.

Click here to see answer by FrankM(1040) About Me 

Question 976947: How many four letter words can be formed by using the letters of the word LINGAA ??
Click here to see answer by t0hierry(194) About Me 

Question 976961: Please help me solve this equation
Find the distance between the given points. (2, 3) and (5, 7)

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Question 976961: Please help me solve this equation
Find the distance between the given points. (2, 3) and (5, 7)

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

Question 976727: Given the stem and leaf plot shown below, which shows the scores made on an English test, find (a) mean, (b) mode, (c) median, (d) range, (e) the variance (c) the standard deviation of the scores?
(Left side | right side of stem and leaf plot)
10 | 0
9 | 2, 4,5
8 | 1,2,7,9
7 | 1,1,3
6 | 1,2,8
5 | 1,5


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Question 976916: how many permutations can be gotten from a block size of 30 with 3 groups
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Question 977121: 1,3,5,7,9,11,13,15
USE ABOVE NUMBER ANSWER SHOULD BE 30

Click here to see answer by Alan3354(69443) 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