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

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Question 847247: nCn-2=10. solve to find 'n' different?
Click here to see answer by swincher4391(1107)

Question 847245: How many distinct permutations can be made out of the word "CONCOCTION" that begins and ends with letter "C"?
Click here to see answer by swincher4391(1107)

Question 847296: A school's math team consists of 6 seventh-graders and 9 eighth-graders. They decide to form an A team and a B team. Each team has 4 students. Given that each team can contain no more than 2 eighth-graders, how many pairs of an A team and a B team can be chosen?
Click here to see answer by ewatrrr(24785)

Question 847384: Choose 5 different numbers from the set 0 to 9 to create a computer password.
a) Assume that the order does matter. How many passwords contain either a 1 or a 2 or both?
Click here to see answer by swincher4391(1107)

Question 847500: From a class of 32 girls and 18 boys how many study groups of 3 girls and 2 boys can be formed?
Click here to see answer by swincher4391(1107)

Question 847479: In a flag ceremony, the number of students in each row is 6 fewer than the number of rows. If there are 891 students in the flag ceremony, how many are in each row?
Click here to see answer by ankor@dixie-net.com(22740)

Question 847658: If a student is given 40 terms to study and 13 are chosen at random on the midterm, how many terms will the student not need to study?
Click here to see answer by richwmiller(17219)

Question 847705: A pizza parlor charges $3 for each vegetable topping and $4 for each meat topping. You want at least seven toppings and have only $28 to spend for the toppings. How many of each topping can you get on your pizza?

Click here to see answer by richwmiller(17219)

Question 848148: I have 116 pieces of jewelry - 36 pair of earrings; 43 rings; 11 bracelets; 26 necklaces.
I have two holes in each ear; two rings at a time and two bracelets at a time.
My sugar daddy wants to know how many possible combinations of jewels I have available for my fashion choices.
Thanx!
Nancy
Click here to see answer by ewatrrr(24785)

Question 848486: 1. For each experiment below, write out the entire sample space .
a. Rolling a dice and observing the face number.
b. Rolling two dice and observing the face numbers.
c. Flipping a coin three times and observing the sequence of heads and tails.
Click here to see answer by swincher4391(1107)

Question 848504: what is the probability of drawing 5 face cards from a 52 card deck? without replacement.
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Question 848552: There are three teachers and eight students on the student council. How many ways can a committee of 4 people be chosen if there must be at least one teacher on it?
Click here to see answer by swincher4391(1107)

Question 848561: How many 3 digit numbers can be formed from 1,2,3,4,5,6 if
a) repition is allowed
b) the number MUST be odd and no repetition is allowed
c) the number MUST be less than 300 and no repition is allowed
Click here to see answer by swincher4391(1107)

Question 848565: find the probability that if 5 different-sized washers are arranged in order of size, round to six decimal places.
Click here to see answer by swincher4391(1107)

Question 848591: In how many ways can a president, vice president, and secretary be randomly selected from a class of 25 students?
Click here to see answer by ewatrrr(24785)

Question 848627: A television station has 5 different commercials to play during the news. In how many different ways can they order the commercials?

Click here to see answer by ewatrrr(24785)

Question 849133: A senate subcommittee consists of 9 democrats and 7 republicans. How many ways can a chair, vice chair, and secretary be chosen if the chair must be a democrat and the vice chair a republican?
Click here to see answer by stanbon(75887)

Question 849377: A number plate CAN BE FORMED WITH TWO ALPHABETS FOLLOWED BY TWO DIGITS WITH
NO REPETATION THEN HOW MANY POSIBLE COMBINATIONS CAN WE GET?
Click here to see answer by ewatrrr(24785)

Question 849605:
a fraternity is to elect a president and treasurer from its 40 members. how many ways can those two officers be elected?
Click here to see answer by checkley79(3341)

Question 849626: area codes are 3 digits. how many are possible if repition is not allowed?
Click here to see answer by ewatrrr(24785)

Question 849795: i really don't understand Cominations..... so here is my question: In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Click here to see answer by Theo(13342)

Question 849878: How many 4-letter codes can be formed using the first 10 letters of English alpha bets, if no letter can be repeated?
Click here to see answer by stanbon(75887)

Question 849905: A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members �be selected if the team has no girl at least one boy and one girl at least 3 girls.
Click here to see answer by stanbon(75887)

Question 850026: How many license plates consisting of three letters (uppercase) followed by two digits are possible?
Click here to see answer by Alan3354(69443)

Question 850026: How many license plates consisting of three letters (uppercase) followed by two digits are possible?
Click here to see answer by jim_thompson5910(35256)

Question 850020: if you are dealt two cards successively (with replacement of the first)from a standard 52 card deck, find the probability of getting a face card on the first card and an ace on the second. (face cards include the king, queen and jack)

Click here to see answer by stanbon(75887)

Question 850159: What is the difference of the greatest and smallest numbers formed by the digits 6,4,8,0 using each digit only once
Click here to see answer by Edwin McCravy(20054)

Question 850160: In how many ways can 15 CDs be divided between two people so that one person gets 10 CDs and the other gets 5 CDs?
Click here to see answer by Kingsley(15)

Question 849911: A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members �be selected if the team has:
1.. no girl .
2..at least one boy and one girl .
3..at least 3 girls.
Click here to see answer by Edwin McCravy(20054)

Question 849877: How many 3-digit numbers can be formed from first five natural no. assuming that (a) repetition of �the digits is allowed.(b) repetition of �the digits is not allowed.
Click here to see answer by Edwin McCravy(20054)

Question 849902: Digits a, b, and c can be chosen to make the following
multiplication work. What is the 3-digit number abc.

a b c � 2 4 1 c b a 2

Click here to see answer by Edwin McCravy(20054)

Question 850029: How many different license plate numbers can be made using 4 letters followed by 3 digits, if
(a) Letters and digits may be repeated?
(b) Letters may be repeated, but digits are not repeated?
Click here to see answer by Edwin McCravy(20054)

Question 849751: in how many different ways can two students be selected from among a group of five students? How does this compare with the number of way that three students could be selected from the same group of five students?
Click here to see answer by Edwin McCravy(20054)

Question 849420: four random digits are drawn (repetition are allowed). Among the four digits, in how many ways can two or more repetitions occur?
Click here to see answer by Edwin McCravy(20054)

Question 849405: how many permutations can be obtained by letter COURAGE if:
(a)constants occupy the even places,
(b)A and E occupy the ends,
(c)C and E come together?
Click here to see answer by Edwin McCravy(20054)

Question 848988: assume that we want to seat Alex, Bonnie, Carl, Daria, Edith, and Frank in a row of six chairs. In how many ways can the seating be done if Alex and Bonnie must sit together.
Click here to see answer by Edwin McCravy(20054)

Question 848964: In class we considered the rearrangement of the word 'ignominious'.
a) How many rearrangements are possible if the first letter must be an 'i' and the last letter must be an 's'?
b) How many rearrangements are possible if the first letter must be a constant? (Be careful - the calculations are not the same for all constants)
c) How many rearrangements are possible if the vowels must always be separated by atleast one constant?
d) How many rearrangements are possible if the constants must be kept together?
Click here to see answer by Edwin McCravy(20054)

Question 850224: You have four sweaters, five pairs of pants, and three pairs of shoes. How many different combinations can you make, wearing one of each? Explain your answer.
Click here to see answer by checkley79(3341)

Question 846651: A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specified type. HINT [See Example 8.]
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(20054)

Question 848963: An apartment block has 8 tenants, each with
a separate mail slot. Eleven different pieces
of junk mail are delivered.
(a) (4 points) How many ways can the
mail be delivered if three tenants get
two pieces of junk mail and five get one
piece?
(b) (5 points) In how many ways can the
mail be delivered if the only restriction
is that every tenant gets at least one
piece of mail?
Click here to see answer by Edwin McCravy(20054)

Question 847786: There are 24 students in a class. Each student is wearing either a hat or gym shoes or both.
16 are wearing hats
20 are wearing shoes
How many are wearing both?
Click here to see answer by Edwin McCravy(20054)

Question 846461: Using the letters in "PROPOSITIONS"
a) How many of the distinguishable arrangements have the two Ps adjacent and the three Os adjacent?
b) How many of the distinguishable arrangements do not have the two Ps adjacent?
Click here to see answer by Edwin McCravy(20054)

Question 850382: -2x + 4>-8
Click here to see answer by Fombitz(32388)

Question 850384: -2x + 4>-8
27+8x >3x-8
-11< 7x-4<10
0<3x-4<17
Click here to see answer by checkley79(3341)

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