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

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Question 446479: A cow costs seven times as much as goat for 84000 i can buy 18 more goats than cows,How much does a goat cost?
Click here to see answer by Gogonati(855)

Question 446484: PLEASE HELP!!! If anyone could break this down step by step for me, it would greatly be appreciated!!! Thanks so much!
In how many different ways can the top seven new indie bands be ranked on a top seven list? The top hit song for each of the seven bands will compete to receive monetary awards of $1000, $500, $250 and $100, respectively. In how many ways can the awards be given out?
Click here to see answer by rwm(914)

Question 446490: A student is flipping four pennies at the same time and
recording the total number of heads that come up when the
coins land on the ground. How many outcomes are possible
in the sample space for this activity?
A. 2
B. 4
C. 5
D. 16
Click here to see answer by ewatrrr(24785)

Question 446443: A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.
Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?
Click here to see answer by ewatrrr(24785)

Question 446363: 1. P(4,4)
2. C(4,4)
3. 5!
4. C(7,4)
5. P^c(5,5)
6. 3!+0/2!*1!
can you please help me with these problems
on # 1. i got 24
and on # 2 i got 120
but the others i can't figure out
Click here to see answer by ewatrrr(24785)

Question 446542: A shipment of 10 television sets is reveived. Six sets are chosen at random and tested for defects. In how many ways can the six be chosen?
Click here to see answer by mohammadrezai(14)

Question 446550: How many ways can a 6 person committee be chosen out of 13 people?
Click here to see answer by ewatrrr(24785)

Question 446488: help please

Three red and three blue flags are arranged randomly along
a wire. What is the probability that the six flags alternate in
color?
A. 1/20
B. 1/10
C. 1/4
D. 1/2
Click here to see answer by sudhanshu_kmr(1152)

Question 446833: How many ways can a committee of 6 from a club with 10 members?
Click here to see answer by akch2002(12)

Question 445787: To keep computer files secure, many programs require the user to enter a password. The shortest allowable passwords are typically six characters long and can contain both numbers and letters. How many six-character passwords are possible if (a) characters can be repeated and (b) characters cannot be repeated?
on (a) this is what i tried... 26^6 x 26^5 x 10 x 26^4 x 10^2 etc. but the number I get is way off from the back of the book I also tried 36P6 but that was also incorrect. I have no idea how to continue input would be much appreciated :)

Click here to see answer by sudhanshu_kmr(1152)

Question 446981: How many social security numbers are possible that have the same first five digits?
Click here to see answer by richard1234(7193)

Question 447309: Out of a class of 14 students, what are the number of possible combinations of groups of 4 students?

Click here to see answer by sudhanshu_kmr(1152)

Question 447803: how many four number license plate can be made using the digits 0,1,2,3,4,5 if repetitions are allowed
Click here to see answer by edjones(8007)

Question 448361: the fourth term of the binomial expansion for
(4x+y)^6
Click here to see answer by Edwin McCravy(20054)

Question 448409: if i have 15 letters : 5 As, 5 Bs, and 5 Cs
how many ways can i arrange them such that no two of the same letter are next to each other?
Click here to see answer by edjones(8007)

Question 448434: A computer system requires users to have an access code that consists of a three-digit number that is not allowed to start with zero and cannot repeat digits. How many such codes are possible?

Click here to see answer by sudhanshu_kmr(1152)

Question 448750: the prairie land base ball conference has 6 teams the teams name are listed below.
*Aces
*Broncos
*Cougars
*Wildcats
*Eagles
*Mustangs
How many games must be played so that every team plays each other once?
Click here to see answer by stanbon(75887)

Question 448862: 5 algebra and 4 geometry books are to be arranged on a shelf.how many ways can they be arranged if the algebra books must be together?

Click here to see answer by stanbon(75887)

Question 448935: I have numbers 1-28,how many six number groups can be made? No repetitions in any 1 group.
Click here to see answer by rwm(914)

Question 449123: can you give me the answer to this:

Identify the equation of direct variation given that y varies directly with x.
x is 84 when y is 6.

Click here to see answer by stanbon(75887)

Question 449236: how many different words can be formed with the letter of the word "vicechancellor" so that the vowels are together?

Click here to see answer by Edwin McCravy(20054)

Question 449444: You are in a roomful of 40 people. Everyone is asked to shake hands with everyone. How many handshakes will there be?

Click here to see answer by jorel1380(3719)

Question 449485: On an English exam, students are required to answer four essay questions from a list of nine questions. How many different ways can they choose which four questions to answer?

I think that order does matter here, but I can't explain exactly why--so I am not sure. If it does matter, I would use a permutation, which would give me 3024. If it does not matter, I would use a combination, which would give me 126. But I feel like there are more than 126 ways. Any help you could give would be great!!
Thank you,
Nicole:)
Click here to see answer by jim_thompson5910(35256)

Question 449599: How many different ways can 8 people sit in 9 chairs?
Click here to see answer by edjones(8007)

Question 449833: A yogurt shop offers four different flavors of frozen yogurt and thirteen different toppings.How many choices are possible for a single serving of frozen yogurt with one topping ?
Click here to see answer by robertb(5830)

Question 449851: Prestige Builders has a development of new homes.There are five different floor plans,four exterior colors,and an option of either one-car or two -car garage.How many choices are there for one home ?
Click here to see answer by rwm(914)

Question 449895: you have 12 people...you must make one a chairperson, secretary and treasure. how many different combinations an you have? alliechic08@yahoo.com
Click here to see answer by rwm(914)

Question 449900: how many 5 letter passwords can be formed from letters P,A,Y,M,E,N,T w/ no repetition?
Click here to see answer by rwm(914)

Question 449718: There are 5 different toppings (pepperoni, onions, mushrooms, peppers, and anchovies) to be placed on top of a pizza pie. How many different combinations of three toppings can be chosen to put on the pizza?
Click here to see answer by sudhanshu_kmr(1152)

Question 450054: A certain marathon had 50 people running for first prize, second, and third prize. How many different possible outcomes are there for the first three runners to cross the finish line?
Click here to see answer by sudhanshu_kmr(1152)

Question 450055: A team of 5 is to be chosen from 4 men and 5 women to work on a special project.
i. In how many ways can the team be chosen?
ii. In how many ways can the team be chosen to include just three women?
iii. What is the probability that the team includes just 3 women?
iv. What is the probability that the team includes atleast 3 women?
v. What is the probability that the team includes more men than women?

Click here to see answer by ewatrrr(24785)

Question 450113: The numbers of absent days a student had in the last 5 months are {0,4,2,0,3}.
What is the approximate variance of this data?

my options are:
F 1.6
H 2.6
G 1.8
J 2.8
Click here to see answer by edjones(8007)

Question 450504: A pizza shop runs a special where you can buy a large pizza with one cheese, one vegetable and one meat for $9.00. You have a choice of 7 cheeses, 11 vegetables and 6 meats. Additionally you have a choice of 3 crusts and 2 sauces. How many different variations of the pizza special are possible?
Please,I need help. would appreciate it.
Click here to see answer by sudhanshu_kmr(1152)

Question 450503: Hi,
Assuming that at least one coin is used, how many different sums of money can be made from the following coins: a penny, a nickel, a quarter, a fifty-cent piece, and a dollar?
I know the answer is 63 ways, but i have no idea how to approach the question and get the answer
Click here to see answer by sudhanshu_kmr(1152)

Question 450494: From a deck of 52 cards, 5 cards are dealt.
What are the odds against each event
a. all from one suit
b. the first 3 from one suit and the last 2 from another
Click here to see answer by edjones(8007)

Question 450920: A committee is to consist of three members. If there are seven men and five women available to serve on the committee, how many different committees can be formed?
I've tried listing all the possible combinations for committee memberships but I'm already up to 13+ committees and I'm certain there must be an easier way. Please help!
Click here to see answer by stanbon(75887)

Question 450505: Simplify the formula nPr when r= 0. Explain why this result makes sense.
Would appreciate help.
Click here to see answer by richard1234(7193)

Question 451102: How many different teams of 4 can be chosen from 9 students?
Click here to see answer by stanbon(75887)

Question 451369: In how many ways can 5 students be chosen from a group of 8 males and 8 females, if you know that you must have exactly 3 females?
Click here to see answer by jorel1380(3719)

Question 451726: 1.
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?
2.
If 100 C2 has a value of 4,950, what is the value of 100 C98?
Click here to see answer by Edwin McCravy(20054)

Question 452080: your cd player can hold 6 cds you have 10cds to choose from, one of which is your favorite and is always in your player. how many ways can the player be filled if order does not matter ?
A 126 B 210 C 720 D 15,120 E 151,200
Click here to see answer by AHBK(13)

Question 452096: A club with ten members wants to choose a president, vice president, secretary, and tresurer. Six of the members are women, and four are men. What is the probability that all officers will be women?
Please show work?
Click here to see answer by jorel1380(3719)

Question 452100: A science class must choose 5 out of 16 science projects to advance to the county competition. How many different groups of projects could be selected?
Please show work.
Click here to see answer by jorel1380(3719)

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