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

Tutors Answer Your Questions about Permutations (FREE)

Question 1021027: n! (n squared + 3n + 2)
Click here to see answer by fractalier(6550)

Question 1020633: How to calculate permutation for 'ATLANTIC'?
Click here to see answer by fractalier(6550)

Question 1020633: How to calculate permutation for 'ATLANTIC'?
Click here to see answer by ryst14(1)

Question 1022111: Solve for x in the equation 6Cx =15 (6 choose x is equal to 15)
Click here to see answer by Edwin McCravy(20054)

Question 1022083: there are 11 people in an office with 3 different phone lines.
If all the lines begin to ring at once, how many groups of 3
people can answer these lines?
Click here to see answer by Edwin McCravy(20054)

Question 1021884: A company has 22 employees. Twelve of these
employees have masters degrees and fifteen
have at least one Microsoft Certification and
three have neither a Microsoft certification
nor a masters degree.
How many have both a Masters degree and a
certification?
Click here to see answer by Edwin McCravy(20054)

Question 1022124: Please help , add 2C1 + 2C2 + 3C2 expressing your answer as a single binomial coefficient.Thanks in advance.
Click here to see answer by Edwin McCravy(20054)

Question 1022124: Please help , add 2C1 + 2C2 + 3C2 expressing your answer as a single binomial coefficient.Thanks in advance.
Click here to see answer by ikleyn(52776)

Question 1022189: Determine the number of different groups of 4 questions a teacher could select from a set of 10 distinct questions
Click here to see answer by ikleyn(52776)

Question 1022268: A fair die is rolled twice. Calculate the probability that the sum of the two numbers resulting is 6.
Click here to see answer by engsaoudah(9)

Question 1022329: How will you know when to use permutation,combination, or probability in a problem? I am so confused. Can you help me?

Click here to see answer by solver91311(24713)

Question 1022437: A coin is flipped eight times in succession. In how many ways can at least five heads occur?

Click here to see answer by mathmate(429)

Question 1022435: In how many ways can a doubles game of tennis be arranged from eleven boys and seven girls if each side must have one boy and one girl?

Click here to see answer by mathmate(429)

Question 1022434: Find the number of full houses in a poker hand, that is, the number of poker hands with three of a kind and two of a kind.

Click here to see answer by mathmate(429)

Question 1022433: Eight prizes are to be given to eight different people in a group of ten. In how many ways can a first prize, a second prize, a third prize and five fourth prizes be given?

Click here to see answer by mathmate(429)

Question 1022548: Determine the number of derangements of {1,2,3,4} and {1,2,3,4,5} thank you!
Click here to see answer by Edwin McCravy(20054)

Question 1022266: Please help me with this problem!
A club has 43 members, 19 are age greater than or equal
to 30 years old and 24 are age less than 30 years old.
A slate of 6 officers will be elected including a
president, vice president, treasury, Sargent of arms
and press liaison.
How many slates of 6 officers are there in which the
president and vice president are not from the same age
group. (Helpful hint: One is age greater than equal to
30 years old and one is less than 30 years old)
Click here to see answer by Edwin McCravy(20054)

Question 1021025: 2n!
divided by
(n-3)!
= 84n

Click here to see answer by Edwin McCravy(20054)

Question 1022190: If the club is sending 3 members to a convention, how many different groups of 3 members are possible? club has 10 members
Click here to see answer by FrankM(1040)

Question 1022521: A company has 6 warehouses and 15 retail stores. In how many ways can a merchandize be shipped from one of the warehouses to one of the retail stores?
Click here to see answer by Edwin McCravy(20054)

Question 1022916: Ten distinguishable balls are distributed into 4 distant boxes such that a specified box contains exactly 2 balls.Find number of such distribution ?
A.3 power 8 B. 3 power 10
C.3 power 6. D.45*3 power 8

Click here to see answer by robertb(5830)

Question 1023146: Suppose we draw a four card hand from a standard 52 card deck.
A) how many different hands contain 3 cards of the same value?
B) how many different hands contain 4 cards of the same value?
Click here to see answer by mathmate(429)

Question 1023167: Evaluate 8-12
Click here to see answer by ikleyn(52776)

Question 1023167: Evaluate 8-12
Click here to see answer by fractalier(6550)

Question 1023242: An exam consits of four true/false questions followed by five multiple choice questions each with 4 answers.
A) How many ways can a student answer the exam if they answer all of the questions? I know that this answer is 16384
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 robertb(5830)

Question 1023293: Please help me !!!
Use an equiprobable sample space to commute the probability of getting exactly 3 heads in 6 tosses of a fair coin.
Click here to see answer by richard1234(7193)

Question 1023243: A state makes license plates with two letters followed by five digits.
How many license plates have no repetition of letters or digits and begin with a vowel?
Click here to see answer by Fombitz(32388)

Question 1023425: There are two families attending a concert together. Each family consists of 1 male and 2 females. In how many ways can they be seated in a row of six seats if
(a) There are no restrictions?
(b) Each family is seated together?

(c) The members of each gender are seated together?

Click here to see answer by mathmate(429)

Question 1023309: An algebra class has 8 students and 8 desks. For the sake of variety, students change the seating arrangement each day. How many days must pass before the class must repeat a seating arrangement?
Suppose the desks are arranged in rows of 4. How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?
What is the probability that Larry, Moe, Curly and Shemp are sitting in the front seats?

Click here to see answer by Edwin McCravy(20054)

Question 1023652: In how many different ways can a girl-boy couple be formed if there are 6 girls and 7 boys
Click here to see answer by josmiceli(19441)

Question 1023652: In how many different ways can a girl-boy couple be formed if there are 6 girls and 7 boys
Click here to see answer by mathmate(429)

Question 1023651: If 20 premier league are present and five of the team represent one company the find the number of ways pair of team representing different companies can play a game
Click here to see answer by mathmate(429)

Question 1023716: A box contains 5 red, 4 blue and 3 white balls. In how many ways can we select 4 balls such that at least 2 are red?
Click here to see answer by Edwin McCravy(20054)

Question 1024007: Twenty board members are sitting around a circular conference table. In
how many ways can they sit so that the chairman sits between the secretary
and the treasurer?
Click here to see answer by robertb(5830)

Question 1024008: Use binomial theorem to expand (x-2)^10 in ascending powers of x up to the
terms containing x^3
Click here to see answer by Edwin McCravy(20054)

Question 1024291: We are going to the ball game. There are 12 different gates from the outside. Then there are 14 different stairways into the stadium. How many different ways can we go into the stadium?

Click here to see answer by mathmate(429)

Question 1024289: If you have 3 hats and 4 jackets, how many different combinations of a hat and a jacket can you wear?

Click here to see answer by Fombitz(32388)

Question 1024289: If you have 3 hats and 4 jackets, how many different combinations of a hat and a jacket can you wear?

Click here to see answer by stanbon(75887)

Question 1024290: I need 45 cents worth of stamps to send a letter to my pen pal. I looked at the stamps my mother has, and they are all 15-cent, 10-cent, and 5-cent stamps. How many different combinations of stamps can I put on my letter?
Click here to see answer by Edwin McCravy(20054)

Question 1024006: How many words consisting of four consonants and 2 vowels can be
formed?
Click here to see answer by Edwin McCravy(20054)

Question 1024234: There are
5
students in a small class. To make a team, the names of
3
of them will be drawn from a hat. How many different teams of
3
students are possible?

Click here to see answer by fractalier(6550)

Question 1024478: There are 8 blue balls, 8 yellow balls and 8 red balls of the same type inside a sack. How many balls must be pulled out to ensure that we get a pair of yellow balls?
Click here to see answer by ikleyn(52776)

Question 1024475: Determine the number of ways to arrange 24 people around 3 circular tables where one table must accommodate exactly 9 people, the second exactly 8 people and the last table exactly 7 people.
My solution :
[C(24,9)*8!]*[C(15,8)*7!]*[C(7,7)*6!]=1.23*10^21
Is this the correct way to solve the question?

Click here to see answer by robertb(5830)

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