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Question 1988: You have five people running for class president.
How many different ways can their names be placed on the ballot expressed in algebraic terms?
Click here to see answer by longjonsilver(2297)

Question 2224: How many 5-number license plates can be made using the digits 1, 2, 3, 4, 5, 6, 7 if repetitions are allowed? not allowed?
Click here to see answer by khwang(438)

Question 2202: Congratulations! You have just won 25 video game tokens to use on these three challenging arcade gamse: Mighty Mediecal Monsters, Radical Racing Robots and Adventures Around the Amazon. All you have to do to collect your prize is answer this question: How many different ways are there to spend your 25 tokens on these three games provided that you play each game at least once?
Click here to see answer by khwang(438)

Question 2229: A teacher wants to write an ordered 5-question test from a pool of 8-questions. How many different forms forms of the test can the teacher write?
How many 5-number license plates can be made using the digits 1, 2, 3, 4, 5, 6, 7 if an odd digit must come first and repetitions are allowed? not allowed?
Suppose in Exercise 2 the license number must be odd. How would it be solved?
FHow would the number of pernutations of the letters of these words be found?
1. DEED 2. COMMITTE 3. CINCINNATI 4. SATELLITE 6. MASSACHUSETTS
A player in a word game has the letters E, E, B, D, G, G , G. In how many ways can these letters be arranged?
A. 210 B. 1260 C. 840 D. 420
What is the number of permutations of six numbers on a spinner?
In how mnay ways can the 10 awimmers on an aquatic ballet team be arranged in a cirurlar pattern?

Click here to see answer by longjonsilver(2297)

Question 4002: How many ways can you order a hamburger if you can order it with or without the following items: cheese, lettuce, tomatoes, pickles or onions?
Click here to see answer by longjonsilver(2297)

Question 4068: In how many ways can a committee of 3 be selected from a group of 5?
Click here to see answer by rapaljer(3622)

Question 4230: On a shelf there are four mathematic books and eight english books. if the books are to be arranged so that the mathematics books are together, in how many ways can this be done?
Click here to see answer by ichudov(404)

Question 4492: How many four letter words can be made using the letters of the word
'MATHEMATICS'?
Click here to see answer by khwang(438)

Question 4565: What is the number of arrangements that can be made out of the letters of the words "SUCCESS" so that all the S do not come together?
Click here to see answer by khwang(438)

Question 4567: We are required to form different words with the help of letters of the word 'INTEGER'.
let m1 be the number of words in which 'I' and 'N' are never together and m2 be the number of words which begin with 'I 'and end with 'R',
then m1/m2 is given by ?
Click here to see answer by khwang(438)

Question 4722: What is the sum of the digits of the four-digit numbers formed using the digits
2,4,6,8(repetitions not allowed).
Click here to see answer by khwang(438)

Question 6488: the conjugate of
sqare_root(2)-square_root(3) is:
square_root(2)+square_root(3).
But can it be:
-sqare_root(2)-square_root(3)?
Click here to see answer by longjonsilver(2297)

Question 6558: the conjugate of
sqare_root(2)-square_root(3) is:
square_root(2)+square_root(3).
But can it be:
-sqare_root(2)-square_root(3)?

please note that even if they are not complex numbers ,
they are surds.
For surds conjugate of 2-square_root(3) is 2+square_root(3),
so why not -2-square_root(3)?
Click here to see answer by longjonsilver(2297)

Question 6590: I didn't know what section to put this under since there isn't an "inequalities" section, so I just put it on here, I hope that's okay. How do I solve the inequality,
Click here to see answer by Mike(39)

Question 6863: I wasn't sure where to put this because my text is Inequalities, Permutations, and Probability. Can someone show me how to so this problem? How many different permutations can you make with the letters in the word
s e v e n t e e n ???? I am not sure how to set this problem up, Can someone please help me? I need to know how to do this before tomorrow(8-10-05)
Click here to see answer by longjonsilver(2297)

Question 6864: I am stuck on a question from my text book, on Inequalities, Permutations, and Probibility. Can someone help me? My question is....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. I am not sure how to set up this problem. I keep multiplying 10 and 12 but I don't think that is right. Can someone help me. My paper is due tomorrow.
Click here to see answer by longjonsilver(2297)

Question 6874: I am having trouble with a question, and I think I know the answer and I just need someone to tell me if it is right. How many arrangements of the letters in the word o l i v e can you make if each arrangement must use three letter?
I think the answer is 5*4*3*2*1 is this answer right, Can someone please let me know. My paper is due tomorrow. Please?
Click here to see answer by Pieter(35)

Question 6886: I am having trouble with Inequalities, Permutations, and Probability. I was not sure what this question fit into, I hope that is alright. I am having trouble solving the inequality, -4y + 6<-14? I got it wrong on my homework, I had the answer y>2, Can someone please tell me what I did wrong?
Click here to see answer by glabow(165)

Question 6872: I am stuck on a question on Inequalities, Permutations, and Probibility. I think I know then answer but I am not sure. My question is Suppose you draw a card from a well-shuffled pack of playing cards. What is the probability that the card you draw will be an ace? I think the answer is 4:50, Is that the right answer? Please someone let me know.
Click here to see answer by glabow(165)

Question 7185: How do you simplify an expression such as 3.6 + (-1.7)
Click here to see answer by minerva(22)

Question 7932: I wasn't sure where to put this because my text is Inequalities, Permutations, and Probability. Can someone show me how to so this problem? How many different permutations can you make with the letters a b c d e f g h i . I am not sure how to set this problem up, Can someone please help me? I need to know how to do this before tomorrow (8-22-05)
Click here to see answer by CharStar(110)

Question 10458: THE ARE 20 STUDENTS AND THEY NEED TO BE ALLOCATED INTO 3 CLASSROOMS.IN HOW MANY WAYS CAN THIS BE DONE
1.ASSUMING THAT THE STUDENTS ARE IDENTICAL
2.ASSUMING THAT THE STUDENTS ARE DISTINGUISHABLE
Click here to see answer by khwang(438)

Question 10647: In the card game Bridge, a yarborough is a 13-card hand containing only cards numbered 2 through 9. Find the number of ways in which to get a yarborough.
Click here to see answer by khwang(438)

Question 13331: Eight cards are selected with replacment from a standard pack of 52 playing cards, with 12 picture cards, 20 odd cards and 20 even cards. How many sequences of 8 are possible, that include 3 picture cards, 3 odd cards and 2 even cards,
Click here to see answer by khwang(438)

Question 13409: The probability of a basketball player's making a free throw successfully at any time in a game is 2/3. If the player attempts ten free throws in a game, what is the probablility that exactly six are made?
Click here to see answer by askmemath(368)

Question 14132: Let G be a group Under a binary operation "*" Having subgroups H and K such that HxK= G. I need some examples on this type of groups.
I have one example but I need more
G= group of all 2x2 matrices under addition.
A= group of all 2x2 matrices under addition having first element of first row as non-zero while all the other three are zero.
B= group of all 2x2 matrices under addition having second element of first row as non-zero while all the other three are zero.
c= group of all 2x2 matrices under addition having first element of second row as non-zero while all the other three are zero.
D= group of all 2x2 matrices under addition having second element of second row as non-zero while all the other three are zero.
then G = AxBxCxD that is G is direct product of A,B,C,D. Please give me such more examples.Thankyou.

Click here to see answer by khwang(438)

Question 10846: There are 10 pencils and they need to be allocate to 3 students
3.In how many ways can at least one of the students be assigned zero pencils

Click here to see answer by khwang(438)

Question 15492: I posted this earlier, but never received a response...hopefully you can help me!
Suppose there are 10 items on a true-false test. The person taking the test does not read the questions; he just anserw each question randomly. What is the probability of his guessing all answers correctly?
Thanks..any help would be great.
Liz
Click here to see answer by venugopalramana(3286)

Question 16539: In how many ways can 6 men and 6 Women be seated together, if no two women were to sit next to each other ?
Click here to see answer by AnlytcPhil(958)

Question 17112: If there are 11 true/false questions, how many different sets of answers are possible?
Click here to see answer by rapaljer(3622)

Question 20719: Five years ago, $10000 was invested at 6%/a compounded semi-annually. Today the investment rates have risen to 7%/a compounded annually. If the original investment and accumulated interest is rolled into the new investment conditions, how much will it be worth in five years.
Use A=P(1+i)^n
I know for 6% P=10000, i = 0.03 but I don't know what n =?
I know for 7% P=10000, i = 0.07 But I don't know what n =?
Click here to see answer by venugopalramana(3286)

Question 21351: write 1/8 as a decimal
Click here to see answer by elima(1433)

Question 21351: write 1/8 as a decimal
Click here to see answer by piglet162431(90)

Question 22141: If there are 8 shirts and 12 pants, how many combinations of shirts and pants can i create?
Click here to see answer by Paul(988)

Question 22719: how do i find the answer to - 8! And what do i do to get the answer
Click here to see answer by stanbon(26297)

Question 22720: State whether the situation involves a combination or premutation. then solve.
these where the directions from my book i need help with this problem and need to know how to tell what the difference between combination and permutation is and how do you tell which one is which. here is my problem
HOW MANY DIFFERENTNINE-PLAYER BATTING ORDERS CAN BE CHOSEN FROM A BASEBALL SQUAD OF 16?
HOW DO I DO THIS PROBLEME? PLEASE, PLEASE, PLEASE HELP ME
Click here to see answer by longjonsilver(2297)

Question 22918: I am learning counting in Algebra and Geometry and I am doing review for my test tmr. There's one question I can not do or understand in the review:
A cable contains 12 wires that are colour coded. There are 3 green, 3 red, 3 black, and 3 white wires. How many subsets of four wires can be seleted if there are no restrictions? Note: Order does matter! (Answer: 495)
Can you list out all the possible cases and show me how you calculate it. Thanks
Here's what I got (please tell me what I am doing wrong):
Case #1, all 4 wires are different
(3C1)^4 = 81 (Note 3C1 is 3 choose 1)
Case #2, 2 wires are the same colour, the other 2 is different (i.e. ggrb, rrgb etc)
4C3 * 4! / 2! = 48
Case #3, 2 pairs of the same colour (i.e. ggww, bbrr, etc.)
4C2 * 4! / 2! / 2! = 36
Case #4, 3 wires are same color and the other one is different (i.e. gggw, etc)
4C2 * 4! / 3! = 24
Click here to see answer by Earlsdon(4900)

Question 21399: prove that: (n-r)(nCr)=n(n-1Cr)
Click here to see answer by venugopalramana(3286)

Question 21400: prove that: nCr=nC(n-r)
Click here to see answer by venugopalramana(3286)

Question 21401: prove that: nCr=(n/r)(n-1)C(r-1)
Click here to see answer by venugopalramana(3286)

Question 23232: There are 5 boys and 6 girls on a grad committee
In how many ways can a sub-committee of 4 people can be selected if there must be at least 1 girl on the sub-committee?

Click here to see answer by venugopalramana(3286)

Question 23354: A class of 14 students is made up of 6 girls and 8 boys
Determine the number of different groups of 5 that can be formed if there must be at most 1 boy in each group (there could be 0 or 1 boy in each group).
A. 23
B. 30
C. 120
D. 126
Click here to see answer by AnlytcPhil(958)

Question 23449: 1). Solve for r
7!/(7-r)! = 840
2). Expand (a-2)^5 using the binomal theoren.
(Is there a shorter way to expand this without multiplying (a-2) 5 times
and writing out a lot of numbers?)

a) a^5-8a^4+16a^3-24a^2+24a-32
b) a^5-10a^4+40a^3-80a^2+80a-32

Click here to see answer by venugopalramana(3286)

Question 24809: how would you solve for n if you know what n! was?

Thanks,
James
Click here to see answer by elima(1433)

Question 24809: how would you solve for n if you know what n! was?

Thanks,
James
Click here to see answer by kev82(145)

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