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

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Question 521478: If there are three roads from Goshen to Gravette and two roads from Gravette to Tontitown, how many ways are there to go from Goshen to Tontitown through Gravette?
Click here to see answer by umnikmo(75)

Question 521787: You order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without. However, the restaurant forgot to label them. If you pick three burritos at random,
a. find the probability that at least one has hot peppers.
b.find the probability that exactly two have hot peppers.
c. find the probability that none has hot peppers.
Click here to see answer by stanbon(57967)

Question 521789: wo hundred people apply for three jobs. Sixty of the applicants are women. If three persons are selected at random,
a.what is the probability that all are women?
60C3 / 200C3
(60C3 * 140C1) / 200C3
(60C1 * 140C3) / 200C3
60C3 / 140C1
None of the above

b.what is the probability that two are women?
60C2 / 200C3
(60C1 * 140C2) / 200C3
(60C2 * 140C1) / 200C3
(60C2 * 200C1) / 200C3
None of the above
Find the expected value of each $1 bet in roulette: the five – number bet.
-$0.0526316
-$0.0789474
-$0.243157
-$0.710526
-$1.65789
please explain how you get the answers
Click here to see answer by stanbon(57967)

Question 522114: In how many ways can 3 of 10 people be elected to the positions of president, secretary, and treasurer?
Click here to see answer by umnikmo(75)

Question 522114: In how many ways can 3 of 10 people be elected to the positions of president, secretary, and treasurer?
Click here to see answer by sudhanshu_kmr(1152)

Question 522278: A true/false test has 15 questions. Assuming that we do not care about the score of the test, in how many different ways can the test be completed?
Click here to see answer by stanbon(57967)

Question 522406: A professor writes 40 discrete mathematics true/false
questions. Of the statements in these questions, 17 are
true. I f the questions can be positioned in any order, how
many different answer keys are possible?
Click here to see answer by stanbon(57967)

Question 522691: Ron's computer password must contain three lowercase letters followed by four numerical digits. If repetition is permitted how many differand passwords are possible?
If repetition is not permitted how many different passwords are possible?
Click here to see answer by stanbon(57967)

Question 522146: Algebra Foundamentals Counting
how many different ways can the letters of the word COUNTED be arranged?
Click here to see answer by htmentor(809)

Question 523120: I've tried this numerous of time but I just can't figure it out. A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified type. Straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit) (Note that the ace counts either as a 1 or as the denomination above king.)
Click here to see answer by Edwin McCravy(8999)

Question 523226: A classroom building has 7 different doors. In how many ways can a student enter by one door and exit by a different door?
Click here to see answer by deborabr(181)

Question 523772: Two-digit numbers are made up from the digits 0, 1, 2, and 3. How many numbers can be made if 0 cannot be the first digit and the repetition of digits is allowed?
Click here to see answer by Edwin McCravy(8999)

Question 523820: A poker hand consists of five cards from a standard deck of 52. fin the number of different poker hands of the specified type.
-Two pairs(two of one denomination, two of another denomination, and one of a third)
I have the answer and it is C(13,2)C(4,2)C(4,2)x44=123552
and i have absolutely no idea where the (13,2)or 44 came from
Click here to see answer by edjones(7569)

Question 523929: how many ways can a committee of size be formed from people? Assume that, when people are chosen for a committee, the order of the choices does not matter.
(If necessary, consult a list of formulas.)

Click here to see answer by Alan3354(31530)

Question 523934: how many 4 digit odd numbers are possible if the left digit cannot be zero
Click here to see answer by htmentor(809)

Question 524019: From the 26 letters in the alphabet, how many ways can 3 letters appear in a row on a license plate if no letter is repeated
Click here to see answer by oberobic(2304)

Question 524136: if alicia has 3 skirts,2 blouses,and 5 scarves,how many outfits are possible?

Click here to see answer by stanbon(57967)

Question 524131: two quaters are tossed.then a four sided die is rolled
Click here to see answer by Alan3354(31530)

Question 524252: how many 4-digit numbers can be formed with the 10 digits 0,1,2,3...9 of (a)repetitions are allowed,(b)not allowed,(c) the last digit must be 0 and repetitions are not allowed
Click here to see answer by Edwin McCravy(8999)

Question 524600: find the number of distinct permutations that can be formed from all the letters in the word ATLANTA
Click here to see answer by stanbon(57967)

Question 524676: a format for passwords is a letter, two digits, a letter, two digits, a letter.
a) How many different passwords are possible using this format if only lowercase letters may be used?
b) How many passwords are possible if the digits 0 and 1 and the letters l and o are not used because their appearances are hard to distinguish?
Click here to see answer by solver91311(17077)

Question 524688: Naoko found a deck of cards that had been dropped onto the floor. She picked up at least 1 card. She may have pick up 1, all 52, or any number in between. How many possible combinations are there for what she picked up?
Click here to see answer by stanbon(57967)

Question 525000: combinations 22 numbers out of 45 with 4 numbers guarantee.I will pay for this answer only if answer is 100% guarantee and no mere than 15 combinations!!!!!
Click here to see answer by Edwin McCravy(8999)

Question 524974: An automobile manufacturer has three different subcompact cars in their line. Customers selecting one of these cars have a choice of two engine sizes, four body styles, and seven color schemes. How many different selections can a customer make?
Click here to see answer by josmiceli(9817)

Question 525591: What is the combination of C (20,3)?
Click here to see answer by Maths68(1474)

Question 525671: If a menu lists 6 appetizers, 5 entrees and 6 desserts, how many different meals can you have at this fine restaurant?
Click here to see answer by Alan3354(31530)

Question 526144: In how many ways 3 scholarships can be awarded to 4 applicants,when each applicant can receive any number of scholarships?
Click here to see answer by Alan3354(31530)

Question 526273: An automobile manufacturer has three different subcompact cars in their line. Customers selecting one of these cars have a choice of two engine sizes, four body styles, and seven color schemes. How many different selections can a customer make?
Click here to see answer by solver91311(17077)

Question 526257: Each three slips of paper have the number 1, 2, or 3 written on it. A slip is drawn, the number recorded, and the slip laid aside. Now a second slip is drawn and the number is recorded. How many outcomes are there?
Click here to see answer by solver91311(17077)

Question 526325: How many three-digit numbers are possible using the digits 1,4,7 and 9? Digits may repeat
Click here to see answer by Alan3354(31530)

Question 526339: How many combinations of 7 digits in the pool of 12 digits?
Click here to see answer by stanbon(57967)

Question 526626: what is the actual space of all the non black face cards in a regular deck of cards?
Click here to see answer by jim_thompson5910(28715)

Question 526649: You and your friend are playing scrabble. There are 44 vowels and 56 consanants. If you pick first, what is the probability that you will pick three vowels and four consonants?
The answer is .262, and I cannot figure this one out.
I tried 44/100 *43/99* 42/98 + 56/97*55/96*54/94*53/93, but that doesn't make sense because the order that you pick will change outcome.
Thanks for the help.
Click here to see answer by scott8148(6628)

Question 527131: Using only letters from the set {A, M, T, N, Y, S}, all of the possible four-letter "words" are written in alphabetical oder, starting with AAAA. What is the 2011th word in the list? Use a systematic approach that does not involve extensive lists.
Click here to see answer by scott8148(6628)

Question 527586: How many ways are there to assign 10 positions by selecting from 15 players?
Click here to see answer by solver91311(17077)

Question 527586: How many ways are there to assign 10 positions by selecting from 15 players?
Click here to see answer by edjones(7569)

Question 528284: If there are 11 people from whom to choose, then how many ways can 4 people could be selected and arranged in a straight line?
Click here to see answer by stanbon(57967)

Question 528283: Customers at Bob's Lumber Company can order shelves. Customers can select from 5 types of wood, 3 different widths, and 4 different lengths. How many types of shelves does Bob's Lumber offer?
Click here to see answer by stanbon(57967)

Question 528441: What are the number of ways you can arrange 2 of the letters in the word: PEACH.

Click here to see answer by Edwin McCravy(8999)

Question 528504: Use all the numbers, 2, 3, 4, and 10 once, and only once, in any order, and in any combination of operations of addition, subtraction, multiplication, and division along with exponent or parenthesis as needed to yield an answer of 40.
Click here to see answer by jim_thompson5910(28715)

Question 528682: I am having a really hard time trying to figure out this question please help,all I know so far is that I should use permutation, but I don't know how:
Question:
A class consists of 60 ladies and 40 men. In how many ways can a president, vice president, treasurer and secretary be chosen if the treasurer must be a lady, the secretary must be a man and the student may not hold more than one office?
Thank you
Click here to see answer by josmiceli(9817)

Question 528865: a class had 20 women and 10 man . how many groups of 3 can be selected from the class?

Click here to see answer by solver91311(17077)

Question 529127: How many different three-digit numbers can you form using the digits 1 2 5 7 8 and 9 with repetition
Click here to see answer by solver91311(17077)

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