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

Algebra ->  Permutations -> Questions on Algebra: Combinatorics and Permutations answered by real tutors!      Log On


   



Tutors Answer Your Questions about Permutations (FREE)


Question 400542: How many ways can two teams of 4 players be chosen from 10 people?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 400615: How many possibilities are there for a test with 15 true and false questions, if all of them must be answered?
Click here to see answer by josmiceli(19441) About Me 

Question 400616: determine how many 4-digit numbers can be formed that contains at least one 3.
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 400849: A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. If the committee must consist of at least 3 women and at least 2 men, how many different committees are possible?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 401116: Please help me with this,
There are 11 members on the schools fencing team, how many ways can you choose a 5 person team from them?

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 401376: A box contains 5 red, 4 blue and 3 white balls. In how many ways can we select 3 balls such that
a. They are of different colors?
b. They are all red?
c. Two are blue and one is white?
d. None is blue?













Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 401638: Please help........
Eight couples are participating in a game. Four persons are to be chosen randomly. In how many ways it have at least one couple?

Click here to see answer by micheal jacob(2) About Me 

Question 401660: if a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,
a, in how many different ways can a student check off one answer to each question?
b, in how many 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 401885: A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the class. How many possible ways can the team be formed which will include only one of the twin brothers?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 401993: Amy is trying to determine how many different outfits she can make. She has 4 bottoms, 7 tops, 2 belts, and 5 pairs of shoes. Assuming she wears one of each item, how many different outfits can she make?
Click here to see answer by robertb(5830) About Me 

Question 402016: How many ways are there to pick an even numbered card or a spade? (using permutation or combination, and the deck has 52 cards)
Click here to see answer by robertb(5830) About Me 

Question 401992: There are 8 students.the teacher wants to divide them into groups of two.how many combinations are there?
Click here to see answer by robertb(5830) About Me 
Question 401992: There are 8 students.the teacher wants to divide them into groups of two.how many combinations are there?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 402052: Three coins are selected from nine coins: 3 dimes, 5 nickels, and 1 quarter. In how many ways can the selection be made so that the value of the coins chosen is at least 25 cents?
I couldn't figure out how to use a combination

Click here to see answer by edjones(8007) About Me 

Question 402098: Mrs. Brokes had twice as many tendollar bills as five-dollar bills. She
had $675 in all. Which of the
following equations CANNOT be
used to figure out how many of
each bill she had?
A. 5 x + 10 ( 2 x ) = 675
B. 25 x = 675
C. x + 2x = 675
D. 5 x + 20 x = 675

Click here to see answer by mananth(16946) About Me 

Question 402843: In how many different ways can a starting lineup of 5 players be selected from a group of 12 basketball players?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 402845: A secratary has to create ten new customer files. In how many different orders can he do this?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 402856: Six applications apply for two jobs. How many different outcomes are possible? Is this question Permutation or Combination?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 402856: Six applications apply for two jobs. How many different outcomes are possible? Is this question Permutation or Combination?
Click here to see answer by rapaljer(4671) About Me 

Question 403215: A group of 7 women and 7 men must select a four-person committee. How many committees are possible if it must consist of the following?
two women and two men?
a majority of women?

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 403254: A committee of 5 is to be selected from a group of 21 people. How many different committees are possible, given the following conditions?

b. One person is the chair and the rest are general members.

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

Question 403381: I am having so much trouble figuring out these string problems.I am just wondering if I have this one right. How many 8 bit strings contain exactly 2 1's. If its not right can I get the answer plus the math to figure it out right. Thanks, Kim
Heres what I have:
C(8,2) 8!/8!2!
8*7*6/2*1*6
56/2
answer 18

Click here to see answer by sofiyac(983) About Me 

Question 403426: I am taking a finite math class and I'm stuck on my one problem, I was hoping you could help me. the problem states:
a group of 9 people is going to be formed into committes of 4, 3, and 2 people. how many committees can be formed if
a) a person can serve on any number of committees?
b) no person can serve on more than one committee
i have racked my brain an just can't seem to figure it out.
thank you for your help.

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

Question 403494: How many arrangements can be made using three letters from the word DOLPHIN if no letters are repeated?
Click here to see answer by Alan3354(69443) About Me 

Question 403530: I need help to solve this world problem. Please help me, I need the formula.
There are 14 people running for President, Vice President and Secretary. How many different arrangments can be made?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 403530: I need help to solve this world problem. Please help me, I need the formula.
There are 14 people running for President, Vice President and Secretary. How many different arrangments can be made?

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 403546: To win the lottery you ,must pick six numbers from 49 balls numbered 1-49. The order in which you pick the balls doesn’t matter. How many different combinations can you pick?
Click here to see answer by stanbon(75887) About Me 
Question 403546: To win the lottery you ,must pick six numbers from 49 balls numbered 1-49. The order in which you pick the balls doesn’t matter. How many different combinations can you pick?
Click here to see answer by Alan3354(69443) About Me 

Question 403528: In how many ways can you answer a 20 question true-false test if you must answer exactly ten questions with "true"?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 404033: Find the number of ways in which a committee of 5 can be selected from a group of 8 people.
Click here to see answer by robertb(5830) About Me 

Question 404119: given f(x)=20x+7 and g(x) =2x^2-4x+13, find (f-g)(x) then evaluate the difference when x=10.
Click here to see answer by stanbon(75887) About Me 

Question 404201: How do you solve this permutation question?: n_P_4
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 404301: If a multiple-choice test consists of 5 questions each with 4 possible answers of which only 1 is correct.
In how many ways can a student check off one answer to each question and get all the
answers right?

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

Question 404382: how many possibilities are there to select a team of three members from six players?
Click here to see answer by stanbon(75887) About Me 

Question 404417: How do you answer 26! It seems the bigger the number we get a scientific notation. What is an easy way to answer n! if n is a big number?
Click here to see answer by robertb(5830) About Me 
Question 404417: How do you answer 26! It seems the bigger the number we get a scientific notation. What is an easy way to answer n! if n is a big number?
Click here to see answer by richard1234(7193) About Me 

Question 404316: If a multiple-choice test consists of 5 questions each with 4 possible answers of which only 1 is correct,
In how many ways can a student check off one answer to each question and get only the
answer to the first question right?

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 404572: 1. A drawer contains 10 pairs of loose, unpaired socks. Three pairs are black, 4 are gray, and 3
are brown. If you remove 2 of the socks, what is the probability that they will match?

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 404758: Suppose you have a group of six men and three women; you want to line them up so that no two women are standing next to each other. In how many ways can this be done?
I know there has to be an easier way to figure this out than to just write M/F in combination until all of the combination's are exhausted (which is the method my classmates have done, and they have answers ranging from 12 to 30 ways) - we just have not gone over the actual formulas for this, and I can't figure it out from the textbook.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 404520: In how many ways can we form three groups of people from 5 people, with each of the two groups consisting of 2 people, and the last group with only one person?

In how many ways can we form 4 groups of people from 11 people, where one group consists of 4 people, another group has 3 people, and each of the two remaining groups consisting of 2 people?
The order of the grouping doesn't matter.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 405166: A typical social security number is 413-22-9802. If a social security number is chosen at random, what is the probability that all the digits will be the same? (social security number may begin with 0).
The answer is supposed to be 1/10^8
Thanks.

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

Question 405233: How many five-digit numbers can be formed using the elements from the set {2,3,4,7,8} if elements may be used more than once in a number?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 406031: Assume a telephone number consists of 8 digits, and the first and last digits cannot be 0.
(a) If repetitions are allowed, how many telephone numbers are possible if
(i) there is no restriction;
(ii) they are odd and start with 2?
(b) If repetitions are not allowed, how many telephone numbers are possible if
(i) there is no restriction;
(ii) they are divisible by 3 and the first digit is less than 5.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 406547: XYZ- how many different ways to express these letters?

Click here to see answer by richard1234(7193) About Me 

Question 407243: a disc jockey wants to select four songs from a new cd of 12 songs. How many ways can the disc jockey choose four songs?
12 X 11 X 10 X 9 = 11880
He can choose any of 12 songs for his 1st song, then anyone of the remaining 11 for the 2nd, and so on.

Click here to see answer by unit(6) 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