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

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Question 733245: A committee consisting of at least three members is to be formed from a group of six boys and six girls such that it always has a boy and a girl. Find the number of ways to form such committee.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 734084:
A t-shirt comes in 12 colors.
 It has a male and female version.
 it comes in 3 sizes for each gender.
How many di erent types of this t-shirt are there? Show all your work.

Click here to see answer by checkley79(3341) About Me 

Question 734262: how can i solve this?
at a party 16 people meet together. Each pair of these individuals decide to chance whether you hailed by handshake or not (likelihood handshake = 0.40). On average, how many handshakes occur?

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Question 734265: any solution for this?
We have 15 total androgens in a village. From this population a year die just 8 people. (The 8 people who die are randomly selected and all groups of 8 persons are equally likely.)
On average how androgens survive (both);

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Question 734270: We have 15 total androgens in a village. From this population a year die just 8 people. (The 8 people who die are randomly selected and all groups of 8 persons are equally likely.)
On average how androgens survive (both);
any ideas how to solve? any soloution?

Click here to see answer by lynnlo(4176) About Me 

Question 734287: A commitee of 2 men and 2 women is chosen from a group of 7 men and 9 women. how many committes are possible?
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Question 734066: Respected Sir,
my Question is: Find the number of ways in which one can post 5 letters in 7 letter boxes.I know that we can solve this by doing 7X7X7X7X7=7^5
But my question is that ,why can't we do 5X5X5X5X5X5X5=5^7? Why ,this way of doing is wrong? how will you provide a valid explanation/reason for this?
Thank you in anticipation .

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

Question 734338: How many different words can be formed using the letters in the word "ONCE" if repetiton is not allowed?
Click here to see answer by checkley79(3341) About Me 

Question 734336:


How many 4 person committees can be formed out of a class of 22 students?

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Question 734368: A test consists of twelve multiple choice questions, with each question having four possible answers. In how many different ways can a student check off one answer to each question?
Click here to see answer by lynnlo(4176) About Me 

Question 734904: I have tried to figure out this problem, could smeone please help me with it?
90!/(90-10)!*10!
This is a combination right?
But how do you work it?

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Question 734971: In how many different ways can 8 riders be matched up with 8 horses?
Click here to see answer by lynnlo(4176) About Me 

Question 735183: The members of a club are 12 boys and 8 girls .In how many ways can a committee of 3 boys and 2 girls be formed?
Please sir can you help me that is it a permutation? Or combination?and how???
Q2.... how many (a) diagonals and (b) triangles can be formed by joining the vertices of the polygon having
(1) five sides....(2) 8 sides.......(3) 12 sides...
please help me how can i teach somebody that its a combination or permutations??? how can?
many thanks

Click here to see answer by lynnlo(4176) About Me 

Question 735297: From a second grade class of 11 boys and 8 girls, 5 students are to be selected for flag duty. Find the number of ways this can be done if
a)There can be at most 3 boys
b)There must be at least 2 boys and at least 2 girls

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Question 735675:

One company's ID cards consist of 5 letters followed by 2 digits. How many cards can be made if repetitions are allowed? If repetitions are not allowed?

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Question 735802: Here is the problem: A soccer team has 16 players. How many ways can the coach choose a starting team of 11 players?
I have been working on this problem for forever and still am having trouble solving it. Here's what I came up with but I know I'm doing something wrong.
16!/11!(16-11)! then i write it all out:
________________ <--this is the fraction divider sign thing haha
11! (16-11)!
16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1
_______________________________________
11x10x9x8x7x6x5x4x3x2x1x(5x4x3x2x1)
it gives me some bizarre number. If you could show how to do the work correctly to get an answer that actually makes sense and explain where I went wrong that would be great. Thanks.

Click here to see answer by rothauserc(4718) About Me 
Question 735802: Here is the problem: A soccer team has 16 players. How many ways can the coach choose a starting team of 11 players?
I have been working on this problem for forever and still am having trouble solving it. Here's what I came up with but I know I'm doing something wrong.
16!/11!(16-11)! then i write it all out:
________________ <--this is the fraction divider sign thing haha
11! (16-11)!
16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1
_______________________________________
11x10x9x8x7x6x5x4x3x2x1x(5x4x3x2x1)
it gives me some bizarre number. If you could show how to do the work correctly to get an answer that actually makes sense and explain where I went wrong that would be great. Thanks.

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

Question 736296: How many six player teams can you get from eight players
Click here to see answer by lynnlo(4176) About Me 

Question 736921: If I offer advertisers the choice of using one of 3 colors in their listing, how many possible combinations of color choices are there for the colors on 2 sides of a sheet?
Been out of school a long time but I know there would be potentially 27 color combination on one side (each side will have multiple listings) but when I expand that to consider both side, does that mean I have 27 squared possibilities?

Click here to see answer by rothauserc(4718) About Me 

Question 737176: A stock can go up or down or stay unchanged how many possibilities are there if you own five stocks
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Question 737297: Ralph has seven different colors of leftover paint. Since there is not enough of any one color to paint all four walls of his room, he has decided to paint each wall a different color. How many different ways can he carry out his plan?
What I have so far -
The first wall can be any one of 7 colors.
The second wall can be any of the 6 remaining colors
The third can be any of 5 colors
There are 4 colors remaining to paint the last wall.
So there are 7 × 6 × 5 × 4 = 840 ways. But in permutation?

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

Question 737974: There are 4 students running for class president. How many different ways can their names be listed on the ballot?
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Question 738057: A 3-digit computer password consists only of odd numbers that cannot be repeated. How many different 3-digit passwords are possible?

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Question 738283: What are all the real English words that can be made from a permutation of 3 or more of the letters in A,B,C,D,E?
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Question 738417: How many identificatiom codes are possible by using 3 letters if no letter may be repeated
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Question 739196: Use a case 1 case 2 ratio box to solve this problem 5 is to 12 as 20 is to waht number?
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Question 739198: If a= 1.5 what does 4a+5 equal?
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Question 739481: Please help me solve this problem.
How many ways are there to pair off eight women at the dance with eight of these 12 men?
This is what I have so far, but I think I have it wrong. Thank you in advance.
=n∁r
=12C8
= 12!
4! 8!
= 12*11*10*9
4*3*2*1
=495 combinations

Click here to see answer by Ed McCravy(3) About Me 

Question 740071: for the digit 0,1,2,3,4,5,6,7,8,9 in three digit number to be formed using each digit only once.a)how many of them are greater than 450 b)less then 540.
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Question 740459: How many permutations of the digits 0, 1, 2, . . . , 9 either
start with a 3 or end with a 7?

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Question 740494: Pour an ordinary dice 129 times and let X the sum of all indications that it brings. what is the expected value E(X) of the random variable X? and what is the variance Var(X) of the random variable X?
any help here?

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Question 740686: 1. Four students are running for class president. How many different ways can they be listed on the ballot?

Click here to see answer by richwmiller(17219) About Me 
Question 740686: 1. Four students are running for class president. How many different ways can they be listed on the ballot?

Click here to see answer by Ed Parker(21) About Me 

Question 740629: i need all 4 digit permutations out of A,B,C and D without constraints
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Question 740753: How many ways can 3 out of 10 students be chosen?
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Question 740784: Out of 8 women and 7 men a committee of 3 women and 4 men is to be formed. Mrs. X should always present in that community in which Mr. Y is a member. The number of such commities are
Click here to see answer by lynnlo(4176) About Me 

Question 740772: how many different ways are there to describe an expression in algebra other than in words?

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Question 740767: In a group of n>=5 people seated at a round table, how many ways can we choose 3 people so that no two are sitting next to each other?
Click here to see answer by lynnlo(4176) About Me 

Question 741214: Respected Sir,
Please help me :
If (2n)!/ 3!(2n-3)! and n!/ 2!(n-2)! are in the ratio 44:3,find n.
Thank you in anticipation.


Click here to see answer by mananth(16946) About Me 

Question 741213: Respected Sir,
Please help me to solve this question:
If(n+2)!=60[(n-1)!],find n.
Thank you in anticipation.

Click here to see answer by mananth(16946) About Me 

Question 741359: Choose 12 letters from the alphabet without repeating a letter. How many different combinations can you make if the order is unimportant?
Click here to see answer by stanbon(75887) About Me 

Question 741464: If the answer to a subtraction problem is 24,list five possible number combinations that were in the problem.
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Question 741450: Find the number of ways 5 large books and 3 small books can be placed on a shelf where there are not restrictions.
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Question 741680:
Click here to see answer by lenny460(1073) About Me 

Question 742113: HI tutors, Can you help me answer this please?
22 people decide to play cricket. In how many ways can 2 teams of eleven players be formed? I get 352,716 using C(m,n)= m!/n!m!.Am I close?
Thank you.

Click here to see answer by KMST(5328) 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