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

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Question 282948: Evaluate each expression.
(55) (7)
23 and 5
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Question 283249: please help me solve this equation. what is the slope of line ((8x+12y+5=0 is))
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Question 283251: please help me solve this equation. find the zero of ((y=2x^2+x-6))
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Question 283307: Hi I've done these questions 3 times and still getting them wrong could someone please help. A board game involves guessing which 1 of 6 characters commited mrder in 1 of 9 rooms with 1 of 6 possible weapons.
a) How many different guesses can be made if 1 character, 1 room, and 1 weapon must be guessed?
b) You are dealt 6 cards that allow you to eliminate 2 characters and 4 rooms. How many different guesses remain if 1 character, 1 room, and 1 weapon must be chosen?
Click here to see answer by Alan3354(30940)

Question 283392: I am having trouble figuring this problem out.
What is the probability of getting a license plate that has a repeated letter or digit if the sequence is 6 letters followed by 2 numerals, followed by 1 letter (rounded to the nearest 10th. The answer I am coming up with is 76.9%, which is apparently not right. This is how I was figuring it up.
(25/26)(24/25)(23/24)(22/23)(21/22)(20/21)+(9/10)(8/9)+(19/20)
Click here to see answer by Edwin McCravy(8879)

Question 283804: in how many ways can you choose 2 side dishes out of 8?
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Question 284009: How many different ways are there for a business to select a group of 5 employees for a committee to plan a party from a group of 17 staffers?
Not sure whether yo use Permutation or Combination
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Question 284028: How many ways are there to select 3 books from a shelf of 20 books?
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Question 284028: How many ways are there to select 3 books from a shelf of 20 books?
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Question 284257: A teacher gives a quick quiz that has 4 true/false questions and 2 multiple choice questions, each of which has 5 answer choices. In how many ways can the quiz be answered if one answer is given for each question?
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Question 284329: A NEW TELEPHONE EXCHANGE IS STARTING WITH IN 614 AREA CODE. IF THE NEW EXCHANGE BEGINS WITH 598 FIND THE AMOUNT OF THE NUMBER POSSIBLE. ASSUME THAT DIGITS CAN REPEAT

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Question 284388: In how many different ways can any 4 of the letters in the following word be arranged?
CHAIRS
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Question 285067: How many different 4 digit vehicle
number plates can be made if the
first digit must not be 6 and no
digits may be repeated?
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Question 285006: how many different 3-letter passwords are possible if no letter can be repeated?
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Question 285154: suppose a license plate contains 2 letters followed by four digits,with the first digit is not zero.How many different license plates can be printed?
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Question 285427: European car licenses have 1 letter, 3 numbers, and 3 letters. [x ooo xxx] How many different combinations are there?
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Question 285587: 2x^2-5x+1
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Question 285712: can anyone help me with these questions?
1-Professor R flips a fair coin twice. Professor G flips a fair coin three times.
What is the probability that Professor R obtains more heads than Professor G?

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Question 285734: find the sum of all the four digit number that can be obtained by using the digits 1,2,3,4 once in each.
Click here to see answer by Edwin McCravy(8879)

Question 285733: how many cards must you pick up from a standard 52 card deck to be sure of getting at least one red card.
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Question 285761: how many positive integers less than or equal to 70,are relatively prime 70?
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Question 286073: how many ways are there to choose 8 coins from pile containing 100 identical pennies and 80 identical nickels???
Click here to see answer by Edwin McCravy(8879)

Question 286072: 4 dice are to be tossed. how many different outcomes are posible if the order does not matter??
Click here to see answer by rfer(12644)

Question 286290: Please help me solve:

In how many different ways can a mother distribute three different toys among her seven children if a child may receive anywhere from 0 to 3 of the toys?
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Question 286162: A student takes a true-false test consisting of 13 questions. Assuming that the student guesses at each question, find the probability that the student answers exactly 11 questions correctly.
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Question 286819: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many different arrangements of cars are possible?
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Question 286843: If six cards are chosen without replacement from a standard
deck, how many hands are possible if
1. The six cards can be anything?
2. At least one card is an ace?
3. At least four are clubs?
4. Exactly three of the cards are hearts?
Click here to see answer by richwmiller(9135)

Question 287220: There are 4 boys and 3 girls. What is the probability the boys and girls sit alternately?
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Question 287420: How many different 5-digit codes can be made using the 10 digits if repetition is permitted?
Click here to see answer by Alan3354(30940)

Question 287846: A club consists of five members : {Andre,Beatrice,Claude,Denis,Edith}. How many ways can a president and a secretary be elected if the same person cannot hold both jobs?
A 5 B 10 C 20 D 25 E none of these
Click here to see answer by dabanfield(803)

Question 287818: A pin code is a sequence of four numbers, each digit can repeat itself. how many combinations for the code are possible?
Click here to see answer by rfer(12644)

Question 288053: Four tennis players enter a tournament. How many different ways can the pairings be made for the first round games?
(A) 3 (B) 6 (C) 8 (D) 12 (E) 24
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Question 288567: a sample of 80 car owners revealed that 24 owned station wagons and 62 owned cars which are not station wagons find the number k of people who owned both a station wagon and some other car?
Click here to see answer by Theo(3458)

Question 288580: how many different combinations of stamps can you use for an exact postage on a package that requires $4.95 of stamps if you only have $0.45 and $0.20 stamps ?
a 1 b 2 c 3 d 4 e 5
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Question 288705: suppose they are 10 questions on a true false test. what is the probability the person will get all answers correct. without reading them. thank you for the help
Click here to see answer by checkley77(12569)

Question 288815: a computer with an old processor locks up if more than4 applications run simultaneously.if the oner has 20 applications storedin his program file,how many different sets of 4 can he run,so that his computer does not lock up?
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Question 289549: In how many ways can five students be seated in a row of five seats?
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Question 290098: In a multiple choice test, there are 5 questions and 4 choices of A, B, C or D. How many ways are there of answering without picking the same answer for 2 consecutive answers?

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Question 290138: Using the word Comedic, what are the chances of forming a word that begins with a vowel?
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Question 290227: evaluate 7! please help thank you
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Question 290370: the permutation of 15 things taken 5 at at time?
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Question 290369: Determine the number of combinations of 15 things taken 5 at a time
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Question 290476: Respected Sir,
Can you explain with proper formula that how to count maximum possibilities of 8 different planets' situation in 12 different signs?
I know that the "formula" for the number of distinct configurations of P planets in S signs is S^P where ^ means "raised to the power of".
So, for 8 planets and 12 signs, the number of possible configurations is:
12^8, or 12*12*12*12*12*12*12*12, or 429,981,696
But
Mercury and Venus is always with the Sun. Mercury can be far maximum 1 sign before or after the Sun. Venus can be far maximum 2 Sign before or after the Sun.
Eg.
If sun is in sign 6,
Moon can be in Sign 1, Sign 2, Sign 3, Sign 4, Sign 5, Sign 6, Sign 7, Sign 8, Sign 9, Sign 10, Sign 11 or in Sign 12.
Same way, Mars, Jupiter, Saturn and Node can be far upto 12 signs from the Sun.
But in case of Mercury and Venus,
If sun is in sign 6,
Mercury and Venus cannot be in certain signs.
Mercury can be only in Sign 5, Sign 6 or in Sign 7. (Can be one sign away from Sun)
Venus can be only in Sign 4, Sign 5, Sign 6, Sign 7 or Sign 8. (Can be Two signs away from the Sun)
So we have to reduce some configurations among 429,981,696. What to do?
Can we use nCr or nPr to find out the number of configurations that we have to reduce from 429,981,696 or this can be done with the help of any other formula?
I hope you will give me the final-maximum-last Number of possible ways of planetary positions in twelve signs WITH EXPLANATION
.
Thank You

Click here to see answer by richwmiller(9135)

Question 290459: A boy's outfit consists of slacks, shirt, and shoes. He does not want to wear the same combination on any two days of the year. Presuming that he has the same number of slacks, shirts, and pairs of shoes, what is the minimum number of each that he will need?
(a) 3 (b) 6 (c) 7 (d) 8 (e) 9

Click here to see answer by richwmiller(9135)

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