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

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Question 549964: How many different numbers of five digits can be formed from the digits 2, 3, 0, 7, 9, 5 when repetition of digits is not allowed?
Click here to see answer by mathstutor458(57)

Question 549963: How many four digit numbers greater than 5000 can be formed by using the digits 3, 4,5,6,7, 8?
Click here to see answer by mathstutor458(57)

Question 549962: How many three digit numbers greater than 700 can be formed by using the digits 4,5,6,7,8,9?

Click here to see answer by mathstutor458(57)

Question 550170: a two digits number is formed using digits 3,4,5,6 and 7 without replacement .what is the probability that the number is a multiple of 3.
Click here to see answer by MathLover1(20849)

Question 549499: Boomboom joined Scout Jamboree. Every scout was said to handshake with
each other. Some of them did not do. The total number of handshakes was 7.
Find the minimum number of handshakes which were not done?
Click here to see answer by sudhanshu_kmr(1152)

Question 550274: Vice Presidents The board of a pharmaceutical company has nine members. One board member will be selected as vice president of marketing, and a different board member will be selected as vice president of research. How many different arrangements of the two vice presidents are possible?
I get 72. 9*8 =72
Click here to see answer by oberobic(2304)

Question 550439: What is the value of C
30 2?
a. 59
b. 60
c. 435
d. 870

Click here to see answer by richard1234(7193)

Question 550439: What is the value of C
30 2?
a. 59
b. 60
c. 435
d. 870

Click here to see answer by jim_thompson5910(35256)

Question 550727: We call a time on a digital clock a palindrome if it is read the same way in either direction. For example, 5:45 is a palindrome. From noon to midnight, how many palindromes appear on a digital clock?
I'm not sure how to begin this, please offer me step by step explanation! Thanks :)
Click here to see answer by jim_thompson5910(35256)

Question 550823: how many different four digit pin numbers can be made from the digits 2,3,4,5
A=if the number is less than 3000
B=if the number must be divisable by 5
C=if the number must be even
Click here to see answer by Edwin McCravy(20054)

Question 550826: seven women and three men on a committee. Committee is to consist of four. how many different ways can the committee be selected if:
A= there are no restrictions.
B= A particular person must be on the committee.
C= A particular person must not be on the committee.
D= the committee must consist of one woman and three men.
E= the committee must have more woman than men

Click here to see answer by sudhanshu_kmr(1152)

Question 550853: Ryan puts 2 nickels, 2 dimes, and 1 quarter in a bag. He then picks one coin. What is the expected value, in cents, of each pick in his experiment?
a.13 cents
b.11 cents
c.10 cents
d.9 cents

Click here to see answer by Edwin McCravy(20054)

Question 550964: how many different 4 number combinations of 1 to 6 and what are they
Click here to see answer by stanbon(75887)

Question 550988: We have 4,4,4,4 the answer is 20,we can put minus,plus,divide and multiply,how it is possible?
Click here to see answer by TutorDelphia(193)

Question 551002: A class consists of 6 girls and 10 boys. If a committee of 3 is chosen at random from the class,
find the probability that (i) 3 boys are selected, (ii) exactly 2 boys are selected, (iii) at least one
boy is selected, (iv) exactly 2 girls are selected.
I want to know the answer to subsection (ii) and how it is different from subsection (i)

Click here to see answer by sudhanshu_kmr(1152)

Question 550645: **THERE are 14 boys and 16 girls in Mr. Heath's class. The name of each student in the class was written on a slip of paper. Mr. Heath will draw a name from the bag, and WITHOUT replacing it, draw a second name. What is the probability that he will pick a boy followed by a girl?
a.1/124
b.112/435
c.2/3
d.435/443
Click here to see answer by sudhanshu_kmr(1152)

Question 551210: in how many ways can six people in line get on a bus if three person insist to follow each other?

Click here to see answer by fcabanski(1391)

Question 551307: How many different lineups are possible with 9 players?
Click here to see answer by jim_thompson5910(35256)

Question 552395: How many combinations of president and vice president can be made in a class of 21?
Klreddick@AOL.com
Click here to see answer by jim_thompson5910(35256)

Question 552455: There are 4 different blood types, A, B, BA, and O. Blood can also? be Rh+ andRh-. Finally, a donor canbe male or female. How many different ways can a donor have his or her blood labeled?
Click here to see answer by neatmath(302)

Question 552593: if i have a five number password and only 4 numbers what are all the possibilities?

Click here to see answer by stanbon(75887)

Question 552588: There are 13 basketball players. All the players sit in a row on a bench. Determine the number of ways to arrange them such that the two youngest players sit together.
I got 958003200 ways. Is this correct ? :S so confusing.
Click here to see answer by AnlytcPhil(1806)

Question 553092: A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters?
Click here to see answer by jim_thompson5910(35256)

Question 553100: In a certain country, the car number plate is formed by 4 digits from the digits 1,2,3,4,5,6,7,8 and 9 followed by 3 letters from the alphabet. How many number plates can be formed?
Click here to see answer by jim_thompson5910(35256)

Question 553219: An 18-member club is choosing its president,vice president,secretary,and treasurer. In how many ways can these four officers be chosen?
Click here to see answer by jim_thompson5910(35256)

Question 552457: In a club with 17 members, how many ways can the club elect a president and a treasurer?
Click here to see answer by jim_thompson5910(35256)

Question 553392: What is the number of possible 9 digit social security numbers if the digits may be repeated?

Click here to see answer by Alan3354(69443)

Question 553588: Determine if the problem is a combination or permutation and then find the answer.
How many ways can a group of 5 people be chosen from a class of 20?
Click here to see answer by AnlytcPhil(1806)

Question 553694: Find the volume of a segment of a sphere,the radius of the base being 10.2 cms and the radius of sphere 12 cms
Click here to see answer by Theo(13342)

Question 554178: Kerri, Lara, Maddie, Nadine, and Petra are trying out for the tennis singles team. The coach is going to pick 3 members of the team randomly. If the order does not matter, in how many different ways can she pick 3 girls to make the team? Use the girls' initials and make an organized list.
Click here to see answer by richard1234(7193)

Question 554718: How many ways can 5 friends line up for lunch in the cafeteria
Click here to see answer by jim_thompson5910(35256)

Question 555038: How many 5-letter code symbols can be formed with the letters, S,T,U,V if a letter can occur more than once?
Click here to see answer by edjones(8007)

Question 555087: if you roll a single fair die and count the number of dots on top, what is the probability of getting an even number or a 5 on a single throw?
Click here to see answer by Edwin McCravy(20054)

Question 555238: how many ways to arrange 7 books on a shelf when there are only 5 places on it?
Click here to see answer by jim_thompson5910(35256)

Question 555541: A newspaper advertises five different movies, three plays, and two baseball games. If a couple selects three activities at random, find the probability they will, attend two plays and one movie.
Click here to see answer by edjones(8007)

Question 555547: When a die is rolled, find the probability of getting: a. A 5, b. A 6, c. A number less than 5
Click here to see answer by edjones(8007)

Question 555554: I feel as though i know the answer. i have followed the formula but i dont think i understand. please help... A group of 5 candidates are running for 2 different class offices. In how many ways can the offices be filled by these candidates? .... i was wondering if it was 20 ways because i know the formula is nPr= n! over r!(n-r)! .... so i just was wondering if i was right.
Click here to see answer by edjones(8007)

Question 555629: I am trying to figure out what formula to use on this question and also how to proceed with the formula.
A password to a computer is to consist of 2 lower case letters followed by three digits. How many different passwords are possible if repetition of letters and numbers is not permitted?
Click here to see answer by Alan3354(69443)

Question 555825: what is the meaning of14P3 the notation of
Click here to see answer by solver91311(24713)

Question 556146: how many 5-letter arrangements are possible by selecting 5 different letters from the alphabet ?
Click here to see answer by fcabanski(1391)

Question 556823: what is the maximum number of diagonals can be drawn in a n-sided polygon?

Click here to see answer by Edwin McCravy(20054)

Question 556831: A class consists of 40 girls and 60 boys.in how many ways can a president,treasurer and secretary be chosen if the treasurer must be a girl,the secretary must be a boy and a student may not hold more than one office?
Click here to see answer by stanbon(75887)

Question 556932: you and two friends each randomlypick a movie from 7 choices. what is the probibility that you will all pick the same movie?
Click here to see answer by stanbon(75887)

Question 556801: there is a game I play There are 6 soccer games. each game has a win draw win result. So it can be either a win for team a draw or win for team b.
Now with 6 games and 3 possibilities in each game, how many combinations is possible for all 6 games
Click here to see answer by sudhanshu_kmr(1152)

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