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

Tutors Answer Your Questions about Permutations (FREE)

Question 674285: How many different committees can be formed from 6 teachers and 47 students if the committee consists of 4 teachers and 2 students?
Click here to see answer by ewatrrr(24785)

Question 674336: In a standard normal distribution what percentage of the data is within 2 standard deviations of the mean?
Click here to see answer by ewatrrr(24785)

Question 672505: How many ways are there to seat four of a group of ten people around a circular table where two sitting are considered the same when everyone has the same immediate left and immediate right neighbour?
Click here to see answer by chandrumail(4)

Question 675073: There are 24 students in a class which has 2 representatives to Student Council. How many different sets of two representatives can the class have?
Click here to see answer by lynnlo(4176)

Question 675138: how many ways can a sample of 4 chocolates be selected from a box of 12 chocolates?
Click here to see answer by ewatrrr(24785)

Question 675350: In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that two lions are together?
Click here to see answer by lynnlo(4176)

Question 675628: an exploration team of 2 women and 3 men is to be chosen from a candidate pool of 6 women and 7 men. how many different ways can this team of 5 be formed?
Click here to see answer by ewatrrr(24785)

Question 676718:
Click here to see answer by checkley79(3341)

Question 677159: if a restaurant has 8 appetizers, 12 entrees and 7 desserts, how many possible meal combinations could a guest order?

Click here to see answer by jpvn2015(54)

Question 677533: A card is selcted at random from a standard deck. Find the probabilty of randomly selecting a 9 or a face card
Click here to see answer by edjones(8007)

Question 678790: 1) If all permutations of the letters of the words AGAIN are arranged as in dictionary,then what is 49th word?
Click here to see answer by jim_thompson5910(35256)

Question 679166: A family of 6 is taking an extended vacation. Every day at lunch they stand in line at a cafeteria in a different order than ever before. On the last day, however, they can't help repeating a previous order. How long was their vacation?

Click here to see answer by solver91311(24713)

Question 679250: In a baseball league of 8 teams, how many games are needed to complete the schedule if each team plays 8 games with each other?
Click here to see answer by checkley79(3341)

Question 679670: Find the number of row in a theatre containing 30 seats if the first row has 14 seats and each row after that has 2 more seats than the previous row.
Click here to see answer by Believe(1)

Question 679681:
There were 52 questions on a test. there were three times as many true and false questions as multiple choice questions. solve a system to find the number of each type of questions.
Click here to see answer by checkley79(3341)

Question 681412: A password consists of two letters of the alphabet followed by three digits chosen from 0 to 9. Repeats are allowed. How many different possible passwords are there?
how to slove..?
Click here to see answer by MathMan88(14)

Question 681931: Calculate the following factorial and record your result in the answer box: 12!
Click here to see answer by Edwin McCravy(20054)

Question 681931: Calculate the following factorial and record your result in the answer box: 12!
Click here to see answer by saharacambron(1)

Question 681934: we want to form a 4 letter password using letters from A,B,C,D,E,F without repetition, what is the probability that the first letter of the password is A and the last letter is F??
Click here to see answer by MathLover1(20849)

Question 681951: How many ways can I pay out 10 $1 coins to 6 employees so that no employee
gets paid more than $2?
Click here to see answer by Edwin McCravy(20054)

Question 681973: how many outfits can be made with 10 different shirts, 4 different color pants, 3 different color pair of shoes, 12 ties and 8 different color pair of socks
Click here to see answer by stanbon(75887)

Question 682184: You are buying a new calculator and it comes in 4 models, with 9 colors, and 3 different operating systems. How many different calcualtors are available?
Click here to see answer by stanbon(75887)

Question 682330: Tom is leading a workshop for 22 people. He wants each person to meet every other person (shake hands once). How many handshakes occur?
Click here to see answer by lynnlo(4176)

Question 682825: if f(x)=ax^2+2a and f(3)-f(1)=60, what is the value of a?
Click here to see answer by jim_thompson5910(35256)

Question 683965: You selected 10 songs for a playlist on your MP3 player. The MP3 player is set to play the songs at random. The player will playall 10 songs without repeating any one song. What is the probability that the songs will be played in the exact order that they are listed in the playlist?
Click here to see answer by Edwin McCravy(20054)

Question 683987: QUESTIONS:
How many different 5 place even numbers can be formed with the digits 1,2,3,4,5,6.
(a)Repetitions are allowed? (b)Repetitions are NOT allowed?
ans.
(a) 360
(b) 3888
Click here to see answer by Edwin McCravy(20054)

Question 683986: QUESTION: PERMUTATION / COMBINATION
Three boy's A,B, and C rode a minibus that has seven vacant seats on each side. How many ways can they be seated if B insisted on sitting on the left side.
Ans. 1092 ( help me pls. with the solution)
Click here to see answer by Edwin McCravy(20054)

Question 684450: In how many ways can 15 students be lined up?
Click here to see answer by Alan3354(69443)

Question 684488: how many three-digit numbers greater than 600 can be performed by using the digits 4,5,6,7,8
Click here to see answer by Edwin McCravy(20054)

Question 685350: I have a Problem of the Week to do (yes, I know it's Monday), and this is the problem: *How many different ways can you make change for a 50 cent piece without using pennies? (Use the four-step problem solving plan to solve.)* The four- step problem solving plan is: Explore (tell what you know and what you need to determine in the problem), Plan, Solve, and Examine (tell how you know your answer is correct). I did every part of the four-step problem solving plan except for the Examine. I can't figure out how to check my work. I would appreciate it if you would help me with this because my teacher has to teach us a lot of things, so he rarely has any time to answer questions. Again, I would be very happy if someone were to help me out!
Click here to see answer by MathTherapy(10551)

Question 685884: find the number of ways in which 6 teachers can be assigned to 4 sections of an introductory psychology cource if no teacher is assigned to more than one section?
Click here to see answer by stanbon(75887)

Question 686400: A committee of 8 people are to choose a president, vice president, and a treasurer. If each officer is to be held by one person and no person is to hold more than one office, in how many ways can this committee be selected?
Click here to see answer by Edwin McCravy(20054)

Question 686605: what is the less than sign

Click here to see answer by rfer(16322)

Question 687085: The sum of the first n positive odd integers is 576. What is n?
Click here to see answer by jim_thompson5910(35256)

Question 687086: If x + y = 4
what is the perimeter of a square with side length 2x^2 + 4xy + 2y^2?
Click here to see answer by jim_thompson5910(35256)

Question 687977: im trying to solve this problem showing step by step; nP6=5(nP5)it is alegebra 2
Click here to see answer by jim_thompson5910(35256)

Question 689112: Determine the size of the sample space for the experiment described below.
Ten coins are tossed and the results of "Heads or Tails" from each coin is recorded. What is the sample space of this experiment?
Click here to see answer by stanbon(75887)

Question 689113: You are forming a 10-person committee from 9 women and 12 men. The committee must consist of 5 women and 5 men. How many different 10 member committees are possible.
Click here to see answer by stanbon(75887)

Question 689089: How many four digit passwords are possible if repetition of digits is allowed?
Click here to see answer by Alan3354(69443)

Question 689877: How many different combinations are there for numbers 1-13 to be lined up 4 on a line. No double numbers and lowest number always first. No repeat perms.
Click here to see answer by Edwin McCravy(20054)

Question 689979: A baseball manager has 12 players of the same ability. How many different 9 player startinng lineups can he create?
Click here to see answer by monica35(6)

Question 690434: Out of a pool of 7 secretaries, only 3 can be chosen to work with a manager. How many ways can this happen?
Click here to see answer by farah(18)

Question 691107:
How many ways can a president, vice-president, and secretary be chosen from a committee of 7 people?
Click here to see answer by checkley79(3341)

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