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

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Question 574750: Four coins are tossed. In how many ways can they fall?
Click here to see answer by Alan3354(30983)

Question 574730: how many different arrangements or words can be formed from each of the following words , a. joy b. too c. theorem d. probability

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Question 574720: How many different four-letter radio station call letters can be formed if the first letter must be W or K?
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Question 575115: from a group of 6 men and 8 women a committee of 3 is to be selected at random find the probability that all 3 are men or all 3 woman
Click here to see answer by chana(69)

Question 575186: Suppose that a pool of 20 movies consist of 5 dramas, 7 comedies, and 8 action movies. In how many ways can a collection of 7 movies be chosen if the collection must consist of 1 drama, 4 comedies, and 2 action movies.
Click here to see answer by chana(69)

Question 575512: You are taking a 10 question multiple choice test. Each question has four possible answers. How many ways can you answer the test?
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Question 575997: In how many ways can a coach select 5 players from a team of 10 players?
Click here to see answer by stanbon(57246)

Question 575988: In how many ways can 3 books be selected from a self of 25 books?
Click here to see answer by jim_thompson5910(28504)

Question 576198: Each question on a multiple choice test has five equally likely answers. If Nikka guesses randomly on four questions, what is the probability that she will answer at least one correctly?

Click here to see answer by stanbon(57246)

Question 576262: Justin can invite 2 of his 6 friends to go to the football game with him. How many combinations of 2 friends can Justin take to the game?
Click here to see answer by chana(69)

Question 576163: Seven students applied for a position on the four-member student review board. In how many ways could four students have been selected for the board? please show me the steps.

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Question 576406: how many permutations are in the word human
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Question 576797: Five girls and five boys are getting together for a party.Suppose one of the boys has 2 sisters amoung the five girls, and he would not accept either of them as a partner.How many couples can be formed
Click here to see answer by chana(69)

Question 576795: Suppose a dice is tossed.What is the probabilitythat at most one 6 appears.
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Question 576127: Mia has four math books, three novels and two books of poetry. She wants to arrange them on her shelf so that all the math books are together on the left end of the shelf, all the novels are together in the middle, and the books of poetry are together on the right end. How many possible arrangements of the books are possible?

Click here to see answer by sudhanshu_kmr(1152)

Question 576841: number of ways in which 6 men and 5 women can dine at a round table if no 2 women are to sit together is given by?
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Question 577406: In how many ways can 7 students be assigned seats in a row containing 7 desks if two of the students must not be seated next to each other?
Click here to see answer by varun(12)

Question 577466: If the club is sending 3 members to a convention, how many different groups of 3 members are possible?

Click here to see answer by stanbon(57246)

Question 577791: Put down all the arrangement of 4 of 5 letters a,b,c,d,e which can be made with a standing first in each. how many are there
Click here to see answer by rakhileshnaidu(13)

Question 577886: How many different arrangements of the letters a, b, c, d, e, f, end with a? How many different arrangements end with a and with f?
Click here to see answer by jim_thompson5910(28504)

Question 577935: Question 1: In how many ways can a chairperson and a vice chairperson be selected from a committee of 28 senators? Can someone reply to this ASAP please. Last problem on an exam quiz. Thanks.
I came up with 378? Is that correct? If I am in correct please explain what I did wrong. Thanks.
Click here to see answer by jim_thompson5910(28504)

Question 577964: A student is asked to answer 7 out of 12 questions on an exam.
(a) Classify the problem as a permutation, a combination, or neither
Click here to see answer by dfrazzetto(277)

Question 578164: I am trying to figure out the combination on my safe that I forgot. I contacted a locksmith and my options are try to figure it out or as a last resort he has to drill the door. It is a 6 digit electronic lock. Gives you 2 tries then have to wait 5 minutes. I'm almost certain I used 581 which is part of a certain number of mine backwards. lol How can I figure out all the posible combinations to try? Thank you! My email is snowman800@lycos.com
Click here to see answer by dfrazzetto(277)

Question 578493: An exam consits of four true/false questions followed by five multiple choice questions each with 3 answers.
A) How many ways can a student answer the exam if they answer all of the questions?

B) How many ways can a student answer the exam if they can leave true/false questions blank?
C) How many ways can a student answer the exam if they can leave any of the questions blanks?

Click here to see answer by stanbon(57246)

Question 578866: How many different 7 digit telephone numbers contain three 8s, two 6s, one 5 and one 4?
I did 7! x 3! x 2! x 1! x 1!=60480
Is this correct?
Click here to see answer by richard1234(5390)

Question 579112: How many ways can a president and vice president be selected in a class of fifteen students?
Click here to see answer by edjones(7569)

Question 579306: How many ways can you order a pizza if you choose 1 vegatable, 1 meat, and 1 cheese.
Options are Vegatable= 8
Meat=7
Cheese=3
Click here to see answer by edjones(7569)

Question 579314: if a plate of a car consists of two letters and four digit number and one car is chosen at random then find the probability that car has the letter at the begining and at the end
Click here to see answer by edjones(7569)

Question 579315: If there are a total of 14 players to choose from, how many ways can you pick your players if each team picks one at a time? (order does not matter)
Click here to see answer by Theo(3458)

Question 579592: My sister and I are having problems with the process of elimination.
We have to solve the story problem given:
The football team has 45 members. There are twice as many juniors as seniors. How many of each are on the team?
Click here to see answer by scott8148(6628)

Question 579621: Thanks so much! :)
How many three-letter arrangements are possible using the letters of the word CANADA?
The problem for me is the 3-letter part. :/
Any help would be extremely amazing thanks!
Click here to see answer by Edwin McCravy(8882)

Question 580340: How many 4-number license plates can be made using the digits 0,1,2,3,4,5 if an even digit must come first and repititions are allowed? Not allowed?
Click here to see answer by dfrazzetto(277)

Question 580346: if 5 people want to be seated, in how many ways can 4 of them be seated on a bench that seats 4?

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Question 580374: Six students are to be chosen from a class of 18 to represent the class at a math contest. How many ways can the six students be chosen?
Click here to see answer by jim_thompson5910(28504)

Question 580420:
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Question 580466: five students go to the school library. the teacher has them form a single-line. in how many different ways can the students stand in line?
Click here to see answer by jim_thompson5910(28504)

Question 580519: How many different ways can a committee of 3 be selected from among the 55 staff members at a bank?
Click here to see answer by jim_thompson5910(28504)

Question 580258: Three men and ten women are to line up for a picture with the three men in the middle. How many ways can this be done? (Assume there are five women on each side of the group of men)
The answer is 21772800 but i have no idea how to attain it. Thanks!
Click here to see answer by sudhanshu_kmr(1152)

Question 580607: How many groups of 4 can you make from 11 people?

Click here to see answer by Edwin McCravy(8882)

Question 580623: How many different arrangements of the word “scissors” are there?
Click here to see answer by Edwin McCravy(8882)

Question 580622: How many different arrangements of the digits “2012” are there?
Click here to see answer by dfrazzetto(277)

Question 580727: There are 20 students in a fraternity. In how many ways can a committee of 11 students be selected?
Click here to see answer by stanbon(57246)

Question 580715: A restaurant offers 6 salads, 3 soups, 5 entrees, 4 desserts, and 6 beverages. if you choose one from each category, how many different meals can you order?

I'm not sure how you would do this,would you take 6x3x5x4x6 and just multiply them?

Click here to see answer by scott8148(6628)

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