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

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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(20054)

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(8007)

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(69443)

Question 523934: how many 4 digit odd numbers are possible if the left digit cannot be zero
Click here to see answer by htmentor(1343)

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(75887)

Question 524131: two quaters are tossed.then a four sided die is rolled
Click here to see answer by Alan3354(69443)

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(20054)

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(75887)

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(24713)

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(75887)

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(20054)

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(19441)

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(69443)

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(69443)

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(24713)

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(24713)

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(69443)

Question 526339: How many combinations of 7 digits in the pool of 12 digits?
Click here to see answer by stanbon(75887)

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(35256)

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(24713)

Question 527586: How many ways are there to assign 10 positions by selecting from 15 players?
Click here to see answer by edjones(8007)

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(75887)

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(75887)

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(20054)

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(35256)

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(19441)

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(24713)

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(24713)

Question 529656: can you help me solve the system algebraically
y=2(x+3)^2-5
y=14x+17
Click here to see answer by lwsshak3(11628)

Question 529656: can you help me solve the system algebraically
y=2(x+3)^2-5
y=14x+17
Click here to see answer by MathTherapy(10551)

Question 529701: How many different ways can 4 aces be dealt?
Click here to see answer by solver91311(24713)

Question 529830: Four cards are sequentially drawn from a shuffled deck of 52 cards without replacement. 26 of these cards are red, and the remaining 26 are blue. find the probability of getting a red card on the selection of the third card, given that the first 2 cards drawn have been red.
Click here to see answer by Edwin McCravy(20054)

Question 529831: At a party there are two types of appetizers: A and B. The probability that a person chooses A is 0.3 while the probability that the person chooses B is 0.4. The probability that the person chooses both is 0.25. What is the probability that a person does not choose any appetizer?
Click here to see answer by swincher4391(1107)

Question 529949: How many ways can you arrange 0 to 9 numbers by picking 4 numbers at a time?
and I need the arrangements if possible
Click here to see answer by Math_prodigy(24)

Question 529825: A committee consists of 3 males and 5 females. Two members of the committee are chosen at random to attend a conference. Find the probabiity that no males are chosen to attend the conference.
Click here to see answer by scott8148(6628)

Question 530164: For a party, a person sets up 6 card tables and pushes them together in a row. How many people can be seated at the arrangement? (Note: Only one person can sit on each side of a card table.)
Please show your work, thank you!
Allen~
Chicago, IL
Click here to see answer by josmiceli(19441)

Question 530415: how many sandwiches can you make with 5 meats 4 breads and 4 cheeses
we think the answer is 20 or 80 but book doesn't provide example for a 3 tier choice or 2 so were a lil confused
Click here to see answer by rfer(16322)

Question 530558: how many seven-letter patterns can be formed from the letters in the word lessons?
Click here to see answer by stanbon(75887)

Question 530844: How many different 10-letter words (real or imaginary) can be formed from the following letters? IMWOSWMCIA
Click here to see answer by Edwin McCravy(20054)

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, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035