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

Tutors Answer Your Questions about Permutations (FREE)

Question 826485: A schoolteacher has to select the maximum possible number of different groups of 3 students out ofa a total of 6 students. In How many groups any particular student will be included
Click here to see answer by psbhowmick(878)

Question 827731: One Company's ID cards consist of two letters followed by three digits. How many cards can be made if repetitions are allowed?
Click here to see answer by LinnW(1048)

Question 827728: how many ways can 10 people sit in their seats if say person 3 can't sit between person 1 and 2
Click here to see answer by Edwin McCravy(20054)

Question 827840: In how many ways the word mango can be arranged such that letter n always comes in second place
Click here to see answer by stanbon(75887)

Question 827840: In how many ways the word mango can be arranged such that letter n always comes in second place
Click here to see answer by edjones(8007)

Question 827791: can you help me work out a combination and permutation problems?
Click here to see answer by edjones(8007)

Question 828168: If you have 4 vegetables, 3 meats, and 4 fruits. How many combinations can you get?
Click here to see answer by jim_thompson5910(35256)

Question 828365: The question: "Each week, Mark does the dishes on 4 days and Lisa does them on the remaining 3 days. In how many different orders can they choose to do the dishes? (Hint: This is an arrangement of 7 things with repetition).
Hello Tutor,
What I know from this question is 7 days in a week, 4 for Mark, 3 for Lisa. I believe repetition means something like: 5x3x2x1 or 5!.
Although I'm not sure, I believed the equation is: 7!/(4!3!).
Is that correct?
Thank you very much in advance!
Click here to see answer by KMST(5328)

Question 828436: how many ways can 3 often students participating an inter school contest be ranked 1st,2nd,3rd
Click here to see answer by jim_thompson5910(35256)

Question 828761: How many 4- digit numbers contain at most 2 zeroes? (Caution: A 4- digit number does not start with zero)
I could really use help on this one. I got this on a test and I want to see if the lecturer used the right term in the question. I don't know if she meant exactly two zeros or at most two zeroes because her English is not perfect. Please help. My mail is koppovalexandra@yahoo.ie
Click here to see answer by Edwin McCravy(20054)

Question 828925: solve 2x+4x to the power of 2=42
Click here to see answer by Fombitz(32388)

Question 828940: A 5 digit number divisible by 3 is to formed using numbers 0,1,2,3,4,5 without repetition .the total number of ways this can be done

Click here to see answer by Edwin McCravy(20054)

Question 829030: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. What is the probability that a randomly chosen team has 3 or 4 girls?
Click here to see answer by edjones(8007)

Question 829268: Can you determine the cost for 7 hours using the chart
2,5 5,11 8,17 10,21. 7,?
Click here to see answer by josgarithmetic(39616)

Question 829486: HOW MANY DIFFRENT 4 DIGIT NUMBERS COULD A PERSON CHOOSE TO BE THIER PIN?
ASAP ITS ON A TEST FOR THIS PERIOD
Click here to see answer by oscargut(2103)

Question 829758: How many ways you can make pizzas from 5 types of bread; 9 types of sauces & 14 types of toppings?
Click here to see answer by edjones(8007)

Question 829816: a. What is the probability of tossing 3 heads in 4 coins tossed ?
b. Given that the first toss is a Head, what is the probability of tossing 3 heads in 4 coins tossed ?
c. Show how the multiplication rule for probaility holds ?
Click here to see answer by reviewermath(1029)

Question 829874: All letters of the word "EAMCET"are arranged in all possible ways.The number of such arrangement in which two vowels are not adjacent to each other.
Click here to see answer by Edwin McCravy(20054)

Question 830042: How can I solve each system of equations? Example, x+y=-3 x-y=1 I think it has to do with substitution.
Click here to see answer by Alan3354(69443)

Question 830042: How can I solve each system of equations? Example, x+y=-3 x-y=1 I think it has to do with substitution.
Click here to see answer by LinnW(1048)

Question 830007: Space shuttle astronauts each consume an average of 3000 calories per day. One meal consists of 1main dish, 1 vegetable, and two different desserts. The astronauts can choose from 10 main dishes, 5 vegetables, and 12 desserts. How many different meals are possible?
Click here to see answer by math-vortex(648)

Question 830117: if you have 30 students auditioning for a choir, how many different ways can you pick four students?

i don't know whether or not its a permutation or combination so i have two answers that i think are correct
either 27405 or 657720
Click here to see answer by richwmiller(17219)

Question 830119: Judy Zahrndt wants to name her new baby so that his monogram (first, middle, and last initials) will be distinct letters in alphabetical order and he will share her last name. how many different monograms could she select?
Click here to see answer by richwmiller(17219)

Question 830130: the number of those permutations of 1,2,3,4,5,6,7,8,9 in which the product of digits occupying the six consecutive positions is divisible by 7 is
Click here to see answer by Edwin McCravy(20054)

Question 830306: in how many ways can 9 friends be formed into groups of 4 persons to play cards?
at first i thought it's just 9C4. then i realized another group of 4 can be made out of 5 left persons, leaving one behind. so the answer must be (9C4)(5C4) ways...? i really don't know, please help meeeh~
Click here to see answer by rothauserc(4718)

Question 830282: how many ways can 3 americans, frenchmen, danes and 2 italians be seated in a row so that those of the same nationality sit together?
Click here to see answer by Edwin McCravy(20054)

Question 830124: the no. of numbers less than 1000 that can be formed out of digit 0,1,2,3,4,5 no digit is repeated is
Click here to see answer by Edwin McCravy(20054)

Question 830568: C-program to get 35 combinations of the variables 'xxxxyyy'
Click here to see answer by Edwin McCravy(20054)

Question 830759: How many sets of 4 can I make out 1 through 8?
Click here to see answer by oscargut(2103)

Question 830991: How many 2-digit numbers less than 60 are even?
Click here to see answer by Edwin McCravy(20054)

Question 830897: From 6 teachers and 4 students. a committee of 6 is to be formed. In how many ways can this be done if the committee contains (1) exactly 2 teachers (2) at least 2 students.
Click here to see answer by Edwin McCravy(20054)

Question 831238: In how many ways can be arranged on a bookshelf eight different books in order:
a) 3 of the books are always together
b) 3 of the books have not been together ever
sorry about my english
Click here to see answer by stanbon(75887)

Question 831392: A sample of 30 is to be selected from a lot of 200 articles. How many different samples are possible?
Click here to see answer by stanbon(75887)

Question 831464: WHAT IS THE PERMUTATION FOR 2 CHOICES AND 8 ESSYS TO CHOOSE FROM I WANT TO KNOW HOW TO SOLVE THEM NOT THE ANSWER?AND NOT THE COMPLICATED WAY

Click here to see answer by richwmiller(17219)

Question 831643: A Cafeteria offers 10 different vegtables how many 3 plate vegtable combinations can you make
I came up with 720 but it says i am wrong.
3,628,800/5040= 720 using permutations
Click here to see answer by edjones(8007)

Question 831581: A group of eight women and ten men must select a four-person committee. How many committees are possible if more than half of the members must be women?
Click here to see answer by edjones(8007)

Question 831718: Austin bought 4 gumballs from a machine. They were red, white,green,and pink. If there are 20 gumballs left in the machine, about how many of them are probably green?
Click here to see answer by checkley79(3341)

Question 831984: how many ways can I arrange 10 books on a shelf assuming that order matters?
Click here to see answer by Alan3354(69443)

Question 832231: Find the number of words that can be made from the letters P,Q,R and S by using any number of letters without repeating any letter.
Click here to see answer by Edwin McCravy(20054)

Question 831148: a,b,c,d and e went to a concert. They sit in 5 adjacent seats. How many arrangements are possible if:_
a) a insists on sitting with b.
b) c refuses to sit with d.
Click here to see answer by Edwin McCravy(20054)

Question 832178: nC14=nC16 then find n
Click here to see answer by Edwin McCravy(20054)

Question 832733: {1,2,3,4,5,5,6,6}how many four digited numbers can be formed without repiting the numbers?

Click here to see answer by stanbon(75887)

Question 833125: Sir,
I have five numers
11 28 3 7 11 how to calculte it
Answer is 15

Click here to see answer by oscargut(2103)

Question 833255: Your baseball team enters a best out of 7 series. How many different ways can you win in exactly 6 games?
Click here to see answer by josmiceli(19441)

Question 833474: A carpenter took 3 minutes to saw a wooden plank into 4 pieces. How long will he take to saw it into 15 pieces?
Click here to see answer by Alan3354(69443)

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