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

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Question 251518: 5(3^P2)
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Question 250520: 2x^2-9x-18 / x-6
Click here to see answer by padmameesala(42) About Me 

Question 251722: how many ways can someone arrange 5 people in 7 seats
Click here to see answer by edjones(8007) About Me 

Question 251970: How many ways can you put 1,2,3,4,5,6,7,8,9,0, in a group of four?

Click here to see answer by nyc_function(2741) About Me 

Question 252150: Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 252210: I have 4 stock charts a Daily,a 4 hourly,a 1 hourly and a 10 minute which form 8 specific positions at various times, how many different variations of patterns are possible? And how can i get the formula to work in excel?
Thanks in advance!
Dudley

Click here to see answer by nyc_function(2741) About Me 

Question 251860: Six men are to play FIVE ROUNDS OF GOLF The men will be split into two teams of three. The teams will then play against each other over the five rounds. Is there any combination of players, making up the teams, that will allow each golfer to play with with all the other golfers as near as possible on an equal number of times. I have tried and can get near but always seem to end up with one playing with one of the group once and others three times!!
Click here to see answer by nyc_function(2741) About Me 

Question 251091: 5 people (A,B,C,D,E)sit together in a theater. How many ways can they be arranged if personB is seated to the right of, but not necessarily next to, personC???
How would you figure this out????

Click here to see answer by palanisamy(496) About Me 

Question 252348: to find a 5 digit number divisible by 3 from digits {0,1,2,3,4,5,6} used with repitition
Click here to see answer by checkley77(12844) About Me 

Question 251079: A family has five children. Assume that the probability of having a boy is 0.5. write the term in the expansion of (b+g)^5 for each outcome described. then evaluate each probability.
a. exactly 3 boys
b. exactly 4 boys
c. exactly 4 girls

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

Question 252674: how many five letter words can be made from the letters of the word MANAGEMENT such that if any two alike letters are there then they are always together???
Click here to see answer by palanisamy(496) About Me 

Question 250519: 14p^2-9p-8 / 2p+1
Click here to see answer by drk(1908) About Me 

Question 250517: 32c^2-2 / 4c+1
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Question 253297: 1) There are 10 students participating in a spelling bee. In how many ways can the students who go first and secon in the bee be chosen?
Click here to see answer by Alan3354(69443) About Me 

Question 253731: how many different groups of two can be made out of twelve students, and how can i chart it.
Click here to see answer by richwmiller(17219) About Me 

Question 253879: Could you please help me with the following question?
Show that if n > 1, then P(n,2)=n²-n

Click here to see answer by jim_thompson5910(35256) About Me 

Question 253885: Could you please help me with the following question?
A doctor visits 5 people by bus once a day. He can use either of two buses, but once he starts out he visits all 5 people in the .
same order before returning home. How many possibilities are there?

Thank you

Click here to see answer by jim_thompson5910(35256) About Me 
Question 253885: Could you please help me with the following question?
A doctor visits 5 people by bus once a day. He can use either of two buses, but once he starts out he visits all 5 people in the .
same order before returning home. How many possibilities are there?

Thank you

Click here to see answer by richwmiller(17219) About Me 

Question 253884: Could you please help me with the following question?
A doctor visits 5 people by bus once a day. He can use either of two buses, but once he starts out he visits all 5 people in the same order before returning home. How many possibilities are there?

Thank you

Click here to see answer by richwmiller(17219) About Me 

Question 253881: Could you please help me with the following question?
A dinner special for 4 people allows one fish dish (from 3 selections), one beef dish (from 5), one chicken dish (from 4), and one pork dish (from 4). Also, one person can choose either soup or salad.
How many different orders might be sent to the kitchen?
Thank you

Click here to see answer by drk(1908) About Me 
Question 253881: Could you please help me with the following question?
A dinner special for 4 people allows one fish dish (from 3 selections), one beef dish (from 5), one chicken dish (from 4), and one pork dish (from 4). Also, one person can choose either soup or salad.
How many different orders might be sent to the kitchen?
Thank you

Click here to see answer by richwmiller(17219) About Me 

Question 253976: Please help me solve this permutation: "A men's department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants. How many different suits consisting of a jacket, shirt, tie, and pants are possible?"
Click here to see answer by hokies(65) About Me 
Question 253976: Please help me solve this permutation: "A men's department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants. How many different suits consisting of a jacket, shirt, tie, and pants are possible?"
Click here to see answer by palanisamy(496) About Me 

Question 249859: For the expansion of (k+t)^22 ,state
a. the number of terms
b. the degree of each term
c. the first 4 terms in the expansion, without coefficients
d. the coefficients of the first three terms
My answers
a. 23
b. 22
c. k^22, k^21t, k^20t^2, and k^19t^3
d. 1, 22 , not sure what the 3rd term is???

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

Question 254237: How many sets of answers are possible if a true-false quiz has three questions?
Click here to see answer by drk(1908) About Me 
Question 254237: How many sets of answers are possible if a true-false quiz has three questions?
Click here to see answer by Alan3354(69443) About Me 

Question 254238: Some license plates contain two letters followed by four numbers. How many such plates are possible?
Click here to see answer by richwmiller(17219) About Me 

Question 254524: How many different 10 letter words (real or imaginary) can be formed from the following letters? D, L, T, A, Q, D, L, S, Q, U
Click here to see answer by dabanfield(803) About Me 

Question 254821: how many possible 5-card hands can make out of 2 of 1 kinf, 2 of another kind, and 1 0ther card in a regular 52-card deck??
Click here to see answer by Theo(13342) About Me 

Question 254747: If a group consisting of A,B,C,D,E,F and G students are asked to group themselves by two, how many of these includes the A students?
Click here to see answer by palanisamy(496) About Me 

Question 255633: computer with an old processor locks up if more than 4 application are running. 20 applications stored in program file. how many different sets of 4 can run
Click here to see answer by drk(1908) About Me 
Question 255633: computer with an old processor locks up if more than 4 application are running. 20 applications stored in program file. how many different sets of 4 can run
Click here to see answer by edjones(8007) About Me 

Question 255801: How many even four-digit numbers can you form from the digits 1, 2, 3, and 5 where no digit is used twice?
Click here to see answer by solver91311(24713) About Me 

Question 256382: What is the formula for solving this? "If you have a class consisting of 10 girls and 20 boys, in how many different ways can you form a committee from the class members such that there will be 2 girls and 2 boys on the committee?"
Click here to see answer by Theo(13342) About Me 

Question 256581: factor the polynomail completely

8xsqaure root 3 +i
3ab-3a+b square root 2-b

Click here to see answer by richwmiller(17219) About Me 

Question 256687: how many different arrangements can be made from the letters of the word purchase if each arrangement must begin with a consonant and end with a vowel?
Click here to see answer by stanbon(75887) About Me 

Question 256701: Please explain how to work these permutaion and combination problems. I don't understand.
problem 1: 5 people are in line. How many different outcomes are there?
Problem 2: How many ways can you select a committee of 4 from a group of 10?

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

Question 257159: in how many different ways could five people be standing in line
Click here to see answer by edjones(8007) About Me 

Question 257158: in how many different ways could 5 people be in line if one has to always be first
Click here to see answer by edjones(8007) About Me 

Question 257325: A student has a 10-question multiple choice test with five answers for each question. In how many ways can the student "guess" at all of the answers?
Click here to see answer by richwmiller(17219) About Me 
Question 257325: A student has a 10-question multiple choice test with five answers for each question. In how many ways can the student "guess" at all of the answers?
Click here to see answer by jsmallt9(3758) About Me 

Question 257376: I was wondering how many different outcomes can you have with 5 questions with only 2 different answers?
Thank you.

Click here to see answer by drk(1908) About Me 

Question 257375: I was wondering how many different outcomes can you have with 5 questions with only 2 different answers?
Thank you.

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

Question 257352: Suppose you are attending a Gambler’s anonymous meeting with 49 other people. A fellow attendee wants to bet you $1000 that no 2 people in the meeting were born on the same day of the year. Statistically speaking, would it be wise to accept the bet?
Click here to see answer by edjones(8007) About Me 

Question 257455: plz solve this...
how many words can be formed out og the word DAUGHTER if all vowels occupy odd places?

Click here to see answer by vksarvepalli(154) 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