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

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Question 698962: Consider a standard deck of 52 cards. How many 5-card hands can be formed that includes:
a)all diamonds
b) exactly 3 face cards
c) at most 2 Queens
d) exactly 2 pairs (e.g 2 Queens, 2 kings)
Click here to see answer by Edwin McCravy(20054)

Question 699202: I would appreciate some help on this problem:
How many combinations exist for the letters m, n, o, p, and q taken 3 at a time?
Thank you
Click here to see answer by lynnlo(4176)

Question 699204: I would appreciate some help on this problem ASAP. Please tell me why the answer is true.
Represent each series as a sum using the summation symbol.
1.05 + 1.10 + 1.15 + 1.20 + . . .
Thank you

Click here to see answer by lynnlo(4176)

Question 699615: How many different groups of 3 students can be formed if there are 20 students in the class?
Click here to see answer by solver91311(24713)

Question 699690: I would appreciate a step by step explanation of how to solve this:
How many different ways can the front row seats be filled with 20 students if the classroom has 4 rows of seats?
Thank you
Click here to see answer by stanbon(75887)

Question 699784: In how many ways can 4 cars be put into 7 garages, (one car to each of 4 garages, with 3 empty garages)?
Click here to see answer by solver91311(24713)

Question 700081: I do not understand this at all. Can someone please explain this?

Let A = {1, 2, 3, . . . , 10}, and B = {1, 2, 3, . . . , 7}. How many functions f : A→B satisfy |f (A)| = 4? How many have |f (A)| ≤ 4?
Click here to see answer by stanbon(75887)

Question 700283: A die is thrown one. Find the probability of each of the following event: it comes up 2
Click here to see answer by solver91311(24713)

Question 700038: There are three urns:first urn contains 1 white,2red,3green balls,second urn contains 2 white,1red,1green balls and third urn contains 4 white,5red,3green balls.
Two balls are drawn from an urn chosen at random.These are found to be one white and one green.Probability that balls are drawn from third urn is:
(A)15/59, (B)14/59, (C)13/59, (D)12/59
Please explain the procedure also!In book only the correct answer is given 15/59....but i dont get how to slove it,so plz explain the procedure,plz.
Click here to see answer by KMST(5328)

Question 700434:
How many different ways can a manager and supervisor from a company branch in Manila be selected if there are 8 employees available?
Click here to see answer by checkley79(3341)

Question 700566: You have 4 entrees, 3 sides , and 2 deserts. What are all the possible orders you could make consisting of exactly one entree and one side and a desert. i made a tree diagram but i keep on getting 36 possibilities.
Click here to see answer by Alan3354(69443)

Question 700778: from the deck of 52 playing cards how many ways can be drawn such that:
a. they both red?
b. one is a diamond card and the other is a spade card?
Click here to see answer by stanbon(75887)

Question 701048: Suppose that 3 dice are tossed. What is the probability that the sum of the faces showing is
at least 17?
Click here to see answer by reviewermath(1029)

Question 701448: Are there more seven digit numbers with a 1 in them than without a 1 in them? Explain.
Click here to see answer by KMST(5328)

Question 701825: A man wishes to give his 12 different books to his 3 children, so that the first shall receive 5, the second 4, and the third 3. In how many ways can he give his books?
Click here to see answer by lynnlo(4176)

Question 702105: Calculate the number of unique 4 person groups that can be formed by selecting from eight eligible candidates.
Click here to see answer by jim_thompson5910(35256)

Question 703071: in drawing one card from a deck of 52 playing cards what is the probability of choosing a diamond or face card
Click here to see answer by rfer(16322)

Question 703314: In how many ways can 12 children be placed on 3 different teams of 3, 5, and 4 members?
Click here to see answer by AnlytcPhil(1806)

Question 703675: How many ways can you arrange 12 books in groups of 3
Click here to see answer by stanbon(75887)

Question 703998: I have 210 items of clothing. How many permutations are possible if I have 35 shoes, 35 tops, 35 bottoms, 35 bags and 35 accessories and 35 jackets? How many different outfits using all 6 types of items in each outfit can I make?
Thank you!!!!!
Click here to see answer by jim_thompson5910(35256)

Question 704051: How many 7 digit numbers can be formed by using the digits 1,2,0,2,4,2,4?
Click here to see answer by BJT(3)

Question 704062: Find the number of ways of arranging the letters of the word INSTALLATION in all possible ways so that the Ns come together
A)11!*2!
B)11!/(2!)^4
C)12!/(2!)^5
D)11!/(2!)^3
Click here to see answer by lynnlo(4176)

Question 704187: You have homework in six subjects. In how many different orders can you complete your work?
Click here to see answer by jim_thompson5910(35256)

Question 704507: how many ways can 3 kids be selected from 12?
Click here to see answer by jim_thompson5910(35256)

Question 704513: How many ways can 3 coins be selected out of 5?
Click here to see answer by jim_thompson5910(35256)

Question 705710: find the number of ways in which 5 large books, 4 medium size books and 3 small books can be placed on the shelf so that all the books of the same size are together
Click here to see answer by filboi(35)

Question 706401: Mark wants to create several passwords for several accounts. Each password is 9 characters consisting of arangements of the 4 letters of his name followed by 5 digits from his birthdate 8/21/73. How many passwords can he create ?
Click here to see answer by jim_thompson5910(35256)

Question 706439: A test consists of 5 multiple choice questions, each permitting 4 possible answers. Find the number of ways a student can complete the test with one answer to each question?
Click here to see answer by checkley79(3341)

Question 706693: How many seven-digit telephone numbers are there that begin with 347 and contain at least one 0 and at least one 1 ?
Click here to see answer by Edwin Parker(36)

Question 706693: How many seven-digit telephone numbers are there that begin with 347 and contain at least one 0 and at least one 1 ?
Click here to see answer by Edwin McCravy(20054)

Question 706634: in how many ways can an MVP be selected in a league with 9 teams and each team has 12 player in its roster?
Click here to see answer by checkley79(3341)

Question 706797: How Many different 10-letter words (real or imaginary) can be formed from the following letter? G F T R M A F I N A
Click here to see answer by lynnlo(4176)

Question 705160: A number lock has 9 different digits. A combination of three digits can be set to open the lock. How many combinations are possible? Can you explain how I would get the answer 84?
Click here to see answer by vheroli(126)

Question 706983: A multiple-choice test consists of 15 questions, each permitting a choice of 4 alternatives. In how many ways may a student fill in the answers if they answer each question?
Click here to see answer by vheroli(126)

Question 707113: np3/(n+2)p3=5/12, find n
Click here to see answer by lynnlo(4176)

Question 707259: Find the number of permutations of the first 15 letters of the alphabet taken 4 at a time.

Click here to see answer by jim_thompson5910(35256)

Question 707291: how do you do patterns in fourth grade i mean like 1,10,100.1,000

sincerely,

alandra mccallum thank you tutors

Click here to see answer by Alan3354(69443)

Question 707648: There are 6 boys and 12 girls at a party. If each boy dances with a girl. In how many ways can 6 mixed couple be formed
Click here to see answer by lynnlo(4176)

Question 707793: 3 � (x + (-4)) = 2x � 6 + 5x
Click here to see answer by checkley79(3341)

Question 707914: You must select a committee of 3 from 12 students. How many different committees can be formed?
Click here to see answer by jim_thompson5910(35256)

Question 708104: There are 2 boys and 5 girls at a party. In how many ways can they sit at a round table, if the boys must not sit next to each other?
Click here to see answer by Edwin Parker(36)

Question 708393: ways to chhose a president, vice president, treasurer, and secretary from the 18 members of a club
Click here to see answer by strawberrygirl183(35)

Question 709208: 'A test contains 100 true/false questions. How many different ways can a student answer the questions on the test, if answers may be left blank?'
Click here to see answer by vheroli(126)

Question 707679: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible?
Click here to see answer by vheroli(126)

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