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

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Tutors Answer Your Questions about Permutations (FREE)


Question 39197: i know the formula for permutations, but i don't know how to solve this problem. please help me!
joslyn's dance group consists of 8 girls and 5 boys. 4 people are to be chosen at random to perform at the next recital. if the group of performers must include at least 2 girls, in how many ways can the performers be chosen?

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Question 39200: there are 12 people on kari's soccer team. individual pictures are taken and 8 pictures are selected to be hung in a row. how many different arrangements of pictures are possible if kari's picture must be among those hung?
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Question 39219: Please help me solve this:
Six hundred people are competing in a triathalon. there is a $1000 prize for first and a $500 prize for second. How many different first-second place finishes are possible?
I know the answer is 359,400, but i don't know how to solve it.

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Question 39630: 3 over 7 x = 15
solve for x

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Question 39784: D = C -s
____ (for s)
n

depreciation .


help.. i'm really lost20

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Question 40281: Multiply
10
7 x


.
4
7x

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Question 16178: Six strangers arrive at a business seminar and each person shakes hands with every other person. How many handshakes are there?
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Question 40315: The number of ways of choosing 4 people from 12 people is the same as choosing 8 people from 12 people. Why are they done in the same number of ways?
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Question 40314: how many different 4 digit PINs can be created using the numbers 2, 3, 0, 6, 7, and 8 with repitition.
i know with repitition it would be 6 x 6 x 6 x 6 = 1296
HOWEVER for a pin number like 2222 rearranging the numbers is useless because you don't get a new number. This is the same for a number like 2223, or 2233 <- rearranging is pointless.
So, please help me fiigure out how to apply these restrictions with all the numbers

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Question 40324: determine the constant term in the expansion of (x + 2)^9
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Question 40456: please help... I tried the 10*9*8*7*6*5*4*3*2*1 and that was not an option
a teacher has a set of 12 problems to use on a math exam. The teacher makes different versions of the exam by putting 10 questions on each exam. How many differsnt exams can the teacher make?

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Question 40605: HELP!!!! solve
-8x is less than or equal to 2

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Question 40604: please help me
solve this inequality (-x/7)+4 is greater than or equal to 3x.

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Question 40603: a rectangle is no more than siw inches wide, and its perimeter measures 28 inches. at least how long is the rectangle? please help me with this
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Question 40622: please help
solve the inequality -4y+6<-14

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Question 40624: please help
How many arrangements of the letters in the word OLIVE can you make if each arrangement must use three letters?
please explain the answer
A)20
b)60
c)8*7*6*5*4*3*2*1

Click here to see answer by kev82(145) About Me 
Question 40624: please help
How many arrangements of the letters in the word OLIVE can you make if each arrangement must use three letters?
please explain the answer
A)20
b)60
c)8*7*6*5*4*3*2*1

Click here to see answer by josmiceli(3013) About Me 

Question 40623: please help
A teacher has a set of 12 problems to use on a math exam. THe teacher makes different versions of the exam by putting 10 questions on each exam. How many different exams can the teacher make?
please explain how to get the answer
a)12!/11!
b)66
c)132

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Question 28577: Is the following 15 puzzle solvable or unsolvable?
2 1 3 4
5 8 7 6
9 10 12 11
15 13 14 *

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Question 41274: There are twenty tiles numbered 1-20. What is the propability of drawing two even numbered tiles, without replacing them. Express awnser in permutation form.
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Question 42057: Sally constructed a dart board. The possible scores are 0, 1, 2 or 3. A score of 0 is obtained if the dart misses the board. Sally challenges John to a game consisting of each player throwing6 darts at the board. The scores from 6 throws are added. In how many ways can a score of 15 or 16 can be obtained?
NOTE: The total score obtained from 1+0+0+3+3+2 is considered different from the total score obtained from 0+0+1+3+3+2.

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Question 42381: A student is taking a true/false quiz. The quiz has ten questions. If the student guesses every answer, how many different arrangements of answers are possible?
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Question 42381: A student is taking a true/false quiz. The quiz has ten questions. If the student guesses every answer, how many different arrangements of answers are possible?
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Question 42379: My students and I solved most of the problems on this page but this one we just can;t seem to solve! What are we missing ? We keep getting 720 or 1000.
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Question 47152: I hope I got this right..can you tell me, please?
What are the number of permutations of the letters of the word MATH?
4, 48, 4! or 4.4.4.4
I chose 48, because 4 x 4 = 16 and 16 x 3 = 48
Thank you !!!

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Question 47152: I hope I got this right..can you tell me, please?
What are the number of permutations of the letters of the word MATH?
4, 48, 4! or 4.4.4.4
I chose 48, because 4 x 4 = 16 and 16 x 3 = 48
Thank you !!!

Click here to see answer by Earlsdon(4900) About Me 

Question 48199: Can I use the formula for combinations of n objects for this problem?
A twenty -question, four-option multiple choice examination is given as a pre-employment test. In how many ways could a prospective employee answer this question on this test by just guessing? Assume that all questions are answered?
C= 20!/4!(20-4) = 20!/4!16! = 116280/24=4845
Thanks!!!

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Question 48186This question is from textbook College Algebra
: I am currently working on the exercises in this book. I don't know how to do this one. Please explain!!
A basketball team has 12 members.In how many ways can five players be chosen under each of the following conditions?
a. The selection is random
b. The two tallest players are always among the five selected.
My answer is: C (12,5) X C (5,2) = 792 X 10 = 7920.
Thanks!!
This question is from textbook College Algebra

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Question 48187: Please help me solve this one. I guess this is a combination problem but I can't figure out my n and r. Thanks a lot!
Seven identical balls are randomly placed in seven available containers in such a way that two balls are in one container. Of the remaining six containers, each receives at most one ball. Find the number of ways in which this can be accomplished.

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Question 13068: Hi, i'm stuck with my homework on math...can anybody help me to figure this out? my question is :
how many ways can 5 people ABCD and E sit in a row if A must be to the left of B but not necessarily next to each other???
thnaks

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Question 50484: Jasmin is walking a group of six dogs. In how many different orders can the dogs enter the house in single file?
(can you give me this equation)

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Question 53252: Hello! I'm having difficulty with this question! A bag containing 5 white, 6 red and 7 blue balls. If 3 balls are selected at random what is the probability that they are all different colours?
Well the first can be any so that doesn't matter. But then the Q branches out too much and I dont know the simple way to work it out. THanks!

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Question 53430: solve the equation if possible.
6/x - 2/x+3 = 3(x+5)/x(x+3)
i can not figure out how to do this. will you please help thanks

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Question 53429: solve the equation if possible.
15/x -4= 6/x +3
i can not figure out how to do this. will you please help thanks

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Question 53428: solve the equation using the specified function and the given values of the independent varible. simplify the result.
f(x)=x^2-2x
thank you for helping me. i dont know how to do this.

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Question 53650: this is my question(-56).(25)=
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Question 53433: please help me. i cant figure out how to do this. thank you for your time in trying to figure this out!
compare the graph of the function with the graph of f(x)=square root x.
y=-squarerootx

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Question 53432: i hope that you can help me solve this one. thanks.
find all real solutions of the equation.
3squareroot3x+1endsqroot -5=0

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Question 54142: My answer to the problem stated below 1/10 = 0.1 Am I correct?
Problem:
A couple plans to have 4 children.Assuming the probability of obtaining each sex is 50% (1 in 2), find the probability of the couple getting 4 boys.

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Question 54140: Hello! i tried to solve this one but I am not sure if my answer is correct.
Chance of getting two 11's = 2 divided by sample space 21 = 2/21= 0.0952. Thanks!
Problem:
Given two six sided dice compute the probability of rolling two 11's in a row.

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Question 54143: Anyone interested to help me out? Given two six sided dice compute the probability of getting two 11's in a row. My answer is 1/21 multiplied by 1/21=441. Please check my work. Thank you.
Click here to see answer by funmath(2873) About Me 
Question 54143: Anyone interested to help me out? Given two six sided dice compute the probability of getting two 11's in a row. My answer is 1/21 multiplied by 1/21=441. Please check my work. Thank you.
Click here to see answer by Nate(3495) About Me 

Question 55006This question is from textbook
: Q. How many 7-digit numbers are there containing two 3s and three 8s if neither of the other two digits are 3 or 8 (the first digit cannot be zero)?
I tried 7!/5!2!.7!4!3!.7.8 = 41160
The answer at the back of the book is 12,960. I do not know how that comes about. Please help.
This question is from textbook

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Question 55190: There are seven different tests being performed…t-1, t-2 and so on. Each test can have only one result out of x number of possibilities but the number of possible results is different for each of the seven tests. E.g. let's say t-1 will have result only one out of 26 different possible results, t-2 will have only one result out of 32 different possible results, etc. The result of each test must be recorded in their numerical order as they are done. I.e. the first test is done and its result is recored first, the second test's result is determined and recorded second and so on.
How would one state the formula for determining the theoretical total number of possible test result combinations from the seven tests when recorded in consecutive order t-1 through t-7? This appears to require a comination of permutations and combinations that have got me confused. I didn't see anything like this on the data base, so I am submitting this to the experts. Thanks for your help.

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Question 56135: Hi! How do I solve this? Find the probability that no two people have the same birthday when the number of randomly selected people is 3? Thanks a lot!
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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