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

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Question 1006073: If there are 10 points in a number line how many rays can possibly be formed

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Question 1006233: How many different ways can 3 red, 4 yellow and 2 blue bulbs be arranged in a string of Christmas tree lights with 9 sockets?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1006235: Four married couples have bought eight seats in a row for a basketball game. In how many ways can they be seated if each couple is to sit together?
Click here to see answer by josmiceli(19441) About Me 

Question 1006234: In the Philippine lotto system, wherein a bet consists of choosing any 6 numbers (in no particular order)from 1 to 42, how many possible bets can be made?
Click here to see answer by Boreal(15235) About Me 

Question 1006419: What formula do I use to solve for: A restaurant offers a dinner special that lets you choose from 10 entries, 8 side dishes, and 13 desserts. You can choose one entree, one side dish and 2 deserts. How many different meals are possible? I tried 31!/1!*1!*2!= but got a weird number on the calculator. According to my textbook, the answer is supposed to be 6240, but I don't think I'm using the right formula. Could you please help?
Click here to see answer by richard1234(7193) About Me 

Question 1006522: Cuold you please help me understand what formula to use for this problem?
A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work enviironment. Find the probability of choosing six first-shift workers.
I tried this formula: 24C6*17C2/41C8. The textbook shows the answer to be .192, but I could find no examples of this type of problem.
Thank you for your help.

Click here to see answer by MathLover1(20849) About Me 
Question 1006522: Cuold you please help me understand what formula to use for this problem?
A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work enviironment. Find the probability of choosing six first-shift workers.
I tried this formula: 24C6*17C2/41C8. The textbook shows the answer to be .192, but I could find no examples of this type of problem.
Thank you for your help.

Click here to see answer by Boreal(15235) About Me 
Question 1006522: Cuold you please help me understand what formula to use for this problem?
A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work enviironment. Find the probability of choosing six first-shift workers.
I tried this formula: 24C6*17C2/41C8. The textbook shows the answer to be .192, but I could find no examples of this type of problem.
Thank you for your help.

Click here to see answer by KMST(5328) About Me 

Question 1006539: Could you please tell me what I did wrong with this problem?
A horse race has 12 entries. Assuming there are no ties, what is the probability that the three horses owned by one person finish first, second, and third?
What I tried: 12!/(12-3)! = 12*11*10*9!/9!= 1320; P(1-owner of 3 horses place 1st, 2nd & 3rd) = 1/1320 = .00076

The textbook says the answer is .005.
Thank you.

Click here to see answer by josmiceli(19441) About Me 

Question 1007048: what is the answer to (2x+3)^3
the question is "expand the power of the binomial"
we are working on combinations.. please help im stuck!!! your help is much appreciated

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Question 1007116: in how many different ways can the letters of word "MATHEMATICS"
be arranged so that the vowels always come together?

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Question 1006882: Six stand up comics, A,B,C,D,E and F are to perform on a single evening at a comedy club. The order of performance is determined by random selection. Find the probability that
A.Comic C will perform first
B.Comic B will perform last and Comic F will perform third
C. The comedians will perform in the following order C,B,F,A,D,E
D.Comic D or E will perform fourth .

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

Question 1006884: A hand consists of 3 cards from a well shuffled deck of 52 cards.
a.Find the number of possible 3 card poker hands.
b.A club flush is a 3 card hand consisting of all club cards. Find the number of possible club flushes.
c.Find the probability of being dealt a card flush.

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

Question 1006843: Forming triangles from 6 distinct points in which no 3 points are collinear
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Question 1006843: Forming triangles from 6 distinct points in which no 3 points are collinear
Click here to see answer by ikleyn(52776) About Me 

Question 1005321: Four distinct letters are to be chosen from the set
{A, B, C, D, E, F, G, H}
Determine the number of ways to obtain a subset that includes each of the following
(1) the letter C
(2) both E and F
(3) either E or F, but not both

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

Question 1007417: An environmental organization has 19 members. Each member will be placed on exactly 1 of 4 teams. Each team will work on a different issue. The first team has 3 members, the second has 5, the third has 7, and the fourth has 4. In how many ways can these teams be formed?
Click here to see answer by Theo(13342) About Me 

Question 1007465: A box contains 15 transistors, 3 of which are defective. If 3 are selected at random. the probability that.
a. all are defective
b.none are defective

Click here to see answer by Alan3354(69443) About Me 

Question 1007464: Suppose x and y are positive real numbers. Use indirect proof to show that if x2 > y3 - 1 then
x > y or y < 2.

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Question 1007468: In one lottery a player wins the jackpot by matching all 5 numbers drawn from white balls 1-41 and matching the number on the gold ball ( 1-35). What is the probability of winning the jackpot?
Click here to see answer by fractalier(6550) About Me 

Question 1007485: Let A = {0,1,3,4,6,8} List the ordered pairs of relation on A:
P={(x,y)|y=x+2}

Click here to see answer by fractalier(6550) About Me 

Question 1007598: Please help me with this problem, I'm stuck on it.
An archer hits his target 60% of the time. If he shoots eight arrows, what is the probability of each event? (Round your answers to six decimal places.)
a) He never hits the target.
(b) He hits the target each time.
(c) He hits the target more than once.
(d) He hits the target at least six times.

Click here to see answer by solver91311(24713) About Me 

Question 1007625: You are dealt one card from a 52 card deck.Find the probability that you are dealt a six or a black card.
Click here to see answer by fractalier(6550) About Me 

Question 1007623: In a class of 60 students, 41 are democrats, 9 are business majors and 4 of the business majors are democrats. If one student is randomly selected from the class,find the probability of selecting a democrat or a business major.
Click here to see answer by ikleyn(52776) About Me 

Question 1007621: The mathematics department of a college has 6 male professors, 11 female professors,10 male teaching assistants and 12 female teaching assistants . If a person is selected random from a group ,find the probability that the selected person is a professor or male.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1008051: In 7 card poker,played with a standard 52 card deck 52C7 or 133,784,560 different hands are possible. The probability of being dealt various hands is the number of different ways they can occur divided by 133,784,560. The probability of being dealt this type of hand is 7654/133,784,560. Find the probability of not being dealt this type of hand.
Click here to see answer by fractalier(6550) About Me 

Question 1008081: You are dealt a single card from a 52 deck of cards. Find the probability that you are dealt a red or a ten card.
Click here to see answer by fractalier(6550) About Me 

Question 1008083: Six stand up comics, A,B,C,D,E and F are to perform on a single evening at a comedy club. The order of performance is determined by random selection. Find the probability that
A.Comic D will perform second.
B.Comic B will perform first and Comic C will perform fourth
C. The comedians will perform in the following order D,B,C,F,E,A
D.Comic A or E will perform fourth .

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

Question 1008077: You are dealt one card from a 52 card deck. Find the probability that you are not dealt a card from 6-9?
Click here to see answer by fractalier(6550) About Me 

Question 1008066: You are dealt one card from a deck of 52 cards. Find the probability that you are dealt a ten or a red card.
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Question 1008064: a single fair die is rolled. Find the odds in favor of rolling a number greater than 1.
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Question 1008062: a single fair die is rolled. Find the odds in favor of rolling a number greater than 3.
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Question 1008078: In 5 card poker,played with a standard 52 card deck 52C5 or 2598960 different hands are possible. The probability of being dealt various hands is the number of different ways they can occur divided by 2598960. The probability of being dealt this type of hand is 8942/2598960. Find the probability of not being dealt this type of hand.
Click here to see answer by fractalier(6550) About Me 

Question 1008084: The digits 5,6,7,8 are randomly arranged to form a three digit number. (digits are not repeated) Find the probability that the number is even and greater than 900.
Click here to see answer by Alan3354(69443) About Me 

Question 1008542: solve for n if P(n,3) = 24C(n,4)
Click here to see answer by stanbon(75887) About Me 

Question 1008668: A box contains 11 transistors , 5 of which were defective. If 5 are selected at random, find the probability that.
A: All are defective
B: None are defective

Click here to see answer by Fombitz(32388) About Me 

Question 1008672: In a class of 45 students, 27 are democrats, 8 are business majors and 6 of the business majors are democrats. If one student is randomly selected from the class,find the probability of selecting a democrat or a business major.
Click here to see answer by fractalier(6550) About Me 

Question 1008697: For a segment of a radio show, a disc jockey can play 6 records.If there are 11 records to choose from in how many ways can a segment for this program be arranged?
Click here to see answer by stanbon(75887) About Me 

Question 1008695: In a different plan for area codes a number can be any digit from 1-7 the second number was either 4,5,6,7 and the third digit can be any number except 6-8.With this plan ho many different area codes are possible?
Click here to see answer by stanbon(75887) About Me 

Question 1008679: A box contains 12 transistors , 5 of which were defective. If 5 are selected at random, find the probability that.
A: All are defective
B: None are defective

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

Question 1008678: In one lottery, a player wins the jackpot by matching all five numbers matched by the white balls (1-42) and matching the number on the gold ball (1-35)What is the probability of winning the jackpot.
Click here to see answer by fractalier(6550) About Me 

Question 1008756: 3 boys and 3 girls enter a room and suit randomly in roll of 6 chairs. What is the probability that they sit
a) so that their gender alternates?
b) so that three boys are together?

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Question 1009004: A class consist of 8men & 7ladies,2students were selected randomly to represent the class in a debate. find the probability that the 2students selected are(A)Both ladies(B)Both men(C)of the same sex(D)of different sex.
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Question 1009025: In the Philippine lotto system, wherein a bet consists of choosing any 6 numbers (in no particular order) from 1 to 42, how many possible bets can be made?
Click here to see answer by fractalier(6550) About Me 

Question 1009028: Four married couples have bought eight seats in a row for a basketball game. In how many ways can they be seated if all men are to sit together and all the women are to sit together?
Click here to see answer by fractalier(6550) 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