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

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Question 607151: How many different 10-letter words (real or imaginary) can be formed from the letters in the word APPEARANCE?

Click here to see answer by ewatrrr(10682)

Question 607151: How many different 10-letter words (real or imaginary) can be formed from the letters in the word APPEARANCE?

Click here to see answer by MathLover1(6611)

Question 607074: We have 6 golfers, we are playing together over six days, split into 2 teams of 3
Larry
John
Peter
Brian
Trevor
Mike
What is best way to ensure that the team members are playing evenly with the other team members.
Click here to see answer by Edwin McCravy(8879)

Question 606545: At a local college, of the male students are smokers and are non-smokers. Of the female students, are smokers and are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are non-smokers?
Do not round your answer.
Thanks for your help!!
Click here to see answer by richard1234(5390)

Question 607305: You're are taking a multiple choice test that has five questions. Each of the questions has 3 answer choices, with 1 correct answer per question. If you guess for each one and leave nothing blank, in how many ways can you answer the questions? (and..) What is the probability that all of your answers will be INcorrect?
Click here to see answer by stanbon(57203)

Question 607304: In how many different ways can a chairperson and assistant chairperson be selected if there are seven scientists available?
Click here to see answer by ewatrrr(10682)

Question 607412: Find the number of ways to purchase 3 different kinds of drinks from a selection of 10 drinks
Click here to see answer by stanbon(57203)

Question 607661: How many ways can a committee of 2 boys and 2 girls and an alternate of either gender be chosen from 5 boys and 6 girls?
Click here to see answer by Edwin McCravy(8879)

Question 608170: How many different combinations of four flowers can you make from six different flowers?
You decide to put the pictures of six friends in a row on a bulletin board. In how many ways can you arrange the pictures?
Two of the four schools will perform the opening cheers. How many combinations of two schools are possible?
Click here to see answer by solver91311(16868)

Question 608480: At a local restaurant you have a choice of 5 appetizers, 12 entrees, and 3 desserts. How many different combinations can you make of one appetizer, one entrée, and one dessert?
Click here to see answer by stanbon(57203)

Question 608485: 10 math students are working on a course project and the professor says they may work in groups of 2 people and submit their projects together. How many different groups of 2 people can be made up from these students?
Click here to see answer by stanbon(57203)

Question 608489: 10 math students are working on a course project and the professor says they may work in groups of 2 people and submit their projects together. How many different groups of 2 people can be made up from these students?
Click here to see answer by flame8855(424)

Question 608494: A company with 3000 employees requires that computer passwords consist of 4 digits followed by 3 letters. Each password cannot repeat a letter or number, and no password can be repeated. Passwords must be changed, by the employees, at the beginning of each month. To the nearest year, how many years of passwords exist?

Click here to see answer by ewatrrr(10682)

Question 608437: HI,
i would really appreciated if you can help me with this word problem:
The Student Life Committee asks that 2 members from a service club attend the next committee meeting. The 2 students will be selected from one of the following service clubs: Alpha Club with 22 members; Beta Club, 19 members; Gamma Club 25 members: and Zeta Club, 14 members. In how many ways can the 2 students be selected.
~Thanks G.Q
Click here to see answer by lynnlo(4155)

Question 608516: There are 67 students in a chemistry class. The instructor selects a student at random.
Students in a Chemistry Class
Males Females
Freshmen 10 15
Sophomores 13 3
Juniors 3 5
Seniors 2 16
a) What is the probability that he chooses a sophomore or a female?

b) What is the probability that he chooses someone who is male and a junior?

c) If a female is selected at random what is the probability that she is a freshmen?

Click here to see answer by ewatrrr(10682)

Question 608537: there are 7 players. Can more teams of 2 different people or 5 different people be formed?
Click here to see answer by stanbon(57203)

Question 608599: Six female students and five male students are nominated for scholarships. Only 3 scholarships will be awarded. If all 11 students are equally qualified what is the probability that all the scholarships are given to females? You may assume each candidate can receive a maximum of one scholarship.
Click here to see answer by ewatrrr(10682)

Question 609003: If A, B, C, D, E, F, and G are letters, how many different 4-letter words can be formed if repitition is allowed?
Click here to see answer by flame8855(424)

Question 609021: I divide my class into 2 equal-sized groups alphabetically by last name. What is the likelihood that Richard Dirksing and Bill Peterson will be in the same group?
Click here to see answer by lynnlo(4155)

Question 609065: How many different ID cards can be made if there are 6 digits on a card and no digit can be used more than once?
Click here to see answer by flame8855(424)

Question 609067: An investigative agency has 7 cases and 5 agents. How many different ways can the cases be assigned if only one case is assigned to each agent?
Click here to see answer by richwmiller(9132)

Question 609330: what is the value of nCr when n-r=1
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Question 609327: what is the value of nCr when r=n
Click here to see answer by math-vortex(472)

Question 609573: In how many ways can a president,vice president, an secretary be arranged from a club of 27 people?
Click here to see answer by ewatrrr(10682)

Question 609719: on the following dartboard, the radius of the bulls-eye (areaA) is 4 inches. the radius of each concentric circle is 4 inches more than the circle inside it. if a person throws randomly onto the dartboard, what is the probability that the dart will hit in area b?
Click here to see answer by Earlsdon(6287)

Question 609767: how many 6-digit numbers contain no 1's or 2's?
Click here to see answer by richwmiller(9132)

Question 609892: Please help me on this problem! : There are 3 girls and 5 boys. how many possible ways are there when 3 girls go first and the rest of people can go which ever order they want?
Click here to see answer by stanbon(57203)

Question 609904: how many ways are there to form a group of 5 students out of a class of 25?
Click here to see answer by jim_thompson5910(28476)

Question 609905: How many 5 letter codes can be made with the letters in the word "market" if the letters can repeat within a code, and the first letter must be a vowel.
Click here to see answer by jim_thompson5910(28476)

Question 610198: Student ID codes consist of uppercase letters as well as the digits 0 through 9.
How many 2-character ID codes are possible if at least one of the digits must be a number?
Click here to see answer by Alan3354(30925)

Question 610242: please simplify the the expression completely (n!n^2-n!)/((n-1)(n+1))
I tried to simplify it, and all I could get was n(n-2)!n^2-n(n+2)!
Click here to see answer by jim_thompson5910(28476)

Question 610590:
Find the number of ways to purchase 5 different kinds of drinks from a selection of 13 drinks
Click here to see answer by jim_thompson5910(28476)

Question 610605: 10 people are to be divided into 3 committees, in such a way that every committee must have at least one member. and no person can serve on all three committees. In how many ways can this be done.
Click here to see answer by AnlytcPhil(1276)

Question 610904: Choose one of the letters A,B,C, or D and one of 5 numbers.
Click here to see answer by solver91311(16868)

Question 610992: How many different committees of 5 people can be formed from a group of 12 volunteers? Is that a permutation or combination?
Click here to see answer by ashipm01(26)

Question 611073: There are 5 students sitting around a table. How many different pairs of students could be formed from those students? I think it is 10
Click here to see answer by scott8148(6628)

Question 611213: how many cards must be selected from a standard deck to be sure of getting at least one red card?
Click here to see answer by htmentor(788)

Question 611256: You have four different colored pencils. You give them away to four different people. How many possible combinations can there be?
Click here to see answer by jim_thompson5910(28476)

Question 611286: I'm really confused about permutations, and especially this problem!
"Flags of 6 countries are to be displayed in a row. The flags of two countries, A and B, must be next to each other.
a) In how many ways can this be done if the flag of country A must be to the left of the flag of country B?
(The answer key says 120, but I don't understand how)
b) In how many orders can the flags be displayed if the 2 flags can be in either order?
(The answer key says 240 but I don't understand how)"
Thank you so much!
Click here to see answer by jim_thompson5910(28476)

Question 611432: How many teams of two can I make from six kids
Click here to see answer by stanbon(57203)

Question 611430: How many 3person teams can be formed from6 people
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Question 611769: If you choose one boy out of 9 boys and one girl out of 16 girls, how many ways can this be done?
Click here to see answer by Alan3354(30925)

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