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

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Question 742300: A committee of four is chosen at random from a group of 8 women and 5 men. Find the probability that the committee contains at least one man.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 742413: I' am preparing for a test and one question that will be similar to the one on the test will be “How many ways can a teacher choose two students from a group of four students?” I looked the answer up and it is six but how do you get this answer or how do you solve this problem?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 742102: Respected Sir,
Please help me to solve:

If P(2n-1,n):P(2n+1,n-1) = 22:7 ,find n
Thank you in aniticipation

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Question 742661: number of different ways 6 prizes can be distributed among 3 different students so that each receives 2 prizes
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Question 743005: Six people are playing five rounds of golf in groups of three. How can I ensure the other players at least twice? Thanks in advance
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Question 743130: If someone can take only 4 out of 7 classes offered during the summer. How many different ways can she choose the classes she will take?
I figured 4x7 is 28 but that answered, I was told, is incorrect. I'm trying to just write out all of the possible ways, but I know there has to be a formula of some type.
Thanks!!!

Click here to see answer by checkley79(3341) About Me 
Question 743130: If someone can take only 4 out of 7 classes offered during the summer. How many different ways can she choose the classes she will take?
I figured 4x7 is 28 but that answered, I was told, is incorrect. I'm trying to just write out all of the possible ways, but I know there has to be a formula of some type.
Thanks!!!

Click here to see answer by rothauserc(4718) About Me 

Question 743455: Nine cards are marked with the numbers 1,2,3,4,5,6,7,8, and 9 then shuffled, and the three cards are drawn. How many different three-card combinations are possible? How many three-card hands contain a number less than three?
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Question 743481: the number of three digit numbers using 1,2,3,4,5 if no digit is to be used more than once in each number is
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Question 743567: students are asked to rank their favorite PE activities from a lit of seven choices. how many ways are there to make the list?
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Question 743591: How many three-letter permutations can be formed from the first ten letters of the alphabet?
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Question 743606: Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.18. Find the probabilities below.
(a) P(A|B)
(b) P(B|A)

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Question 743693: 2 wheels that both have numbers 1-8 are spun. Assuming the wheels are independent and the outcomes are equally likely, determine the probability of obtaining even numbers on both wheels.
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Question 743695: Student ID's at a school consist of two letters followed by two single-digit numbers. How many possible ID's are there? How many possible ID's are there if neither letters nor digits can repeat?
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Question 743691: a personal password is to consist of a letter, followed by two digits, followed
by 2 letters. Determine the number of codes possible if the first digit cannot
be zero and repetition is permitted.

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Question 743772: How many patterns of 6 children in a row are there if every girl is next to at least one other girl?
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Question 743771: How many patterns of 5 children in a row are there if every girl is next to at least one other girl?
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Question 743746: How many ways are there to hand out 7 free books to 15 students if no student is to receive more than 1 book
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Question 744522: how to subtract 3 raise to 4 from 4
raise to 3

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Question 744669: There are 3 fathers each have 2 kids each how will they all sit together if there is only 7 chairs?
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Question 744994: A jury pool consists of 12 women and 8 men how many juries containing at least ten women can be selected?
Thank you

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Question 745083: Suppose that you have 3 different math books, 4 different chemistry books, and 5 different
biology books that you wish to put on a bookshelf. In how many ways can this be done if
all of the books of each type must be placed together (all of the math books need to be
together, all of the chemistry books need to be together, and all of the biology books
need to be together)?

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Question 745269: How many 5-card poker hands consisting of two 4's and three cards that are not 4's are possible in a 52-card deck?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 745276: In a probability model, which of the following numbers could be the probability of an outcome:
0, 1.0002, -3.01,12/11 ,-1/2 ,5/4 , 1, 1.5

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Question 745374: How many unique arrangements are there of all the letters in the word geese
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Question 474091: How many license plates can be made of the form XX-YYYYY, where X is a letter of the alphabet and Y is a numeral 0-9?
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Question 745987: there are 120 members in a club
there are 1.5 more girls than boys in this club
how many boys are there

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Question 4068: In how many ways can a committee of 3 be selected from a group of 5?
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Question 7932: I wasn't sure where to put this because my text is Inequalities, Permutations, and Probability. Can someone show me how to so this problem? How many different permutations can you make with the letters a b c d e f g h i . I am not sure how to set this problem up, Can someone please help me? I need to know how to do this before tomorrow (8-22-05)
Click here to see answer by Levski123(6) About Me 

Question 26342: how many 6 number combinations will be made from 1 2 3 4 5 6 7 8 9, where 1 2 and 3 must appear on the 6-number combination?
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Question 746454: Whats The Difference Between A Permutation and a Combination?



Veronica.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 746454: Whats The Difference Between A Permutation and a Combination?



Veronica.

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Question 746487: "Determine how many different computer passwords are possible if the given number of digits (0-9) and the letters (A-Z) can be repeated and cannot be repeated."
5 digits followed by 2 letters
Repeated:
Not repeated:
I tried an example for repeated - 2-2-2-2-2-B-B but am not sure if that is correct or how to finish the problem.
Thank You.

Click here to see answer by solver91311(24713) About Me 
Question 746487: "Determine how many different computer passwords are possible if the given number of digits (0-9) and the letters (A-Z) can be repeated and cannot be repeated."
5 digits followed by 2 letters
Repeated:
Not repeated:
I tried an example for repeated - 2-2-2-2-2-B-B but am not sure if that is correct or how to finish the problem.
Thank You.

Click here to see answer by Alan3354(69443) About Me 

Question 746789: A bag has 3 red and 5 purple marbles. One is drawn out at random and not replaced. Then a second marble is drawn out at random. What is the probability that the first marble is purple and the second is red?
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Question 746416: A box contains 10 discs: 5 yellow, 3 blue, 2 green. Two discs are selected without replacement. What is the probability that the first disc was blue given that the second disc was blue?
I keep getting the wrong answer and I don't understand why. Thank you!

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Question 746985: Determine wheter each situation involes a permutation or a combination

arrrange of 15 DVD's on a shelf

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Question 746985: Determine wheter each situation involes a permutation or a combination

arrrange of 15 DVD's on a shelf

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Question 151913: HOW MANY FOUR DIGIT NUMBERS CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400?
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Question 163408: I need to figure out how many possible milkshake combinations there can be with 64 ingredients. No ingredient can be used more than once in a combination and there is a max of 5 ingredients per combination.
Thanks for your help.

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Question 747176: out of 2250 parts of the earth is sulphur. The percentage of sulphur in the earth is ?
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Question 747208: What is 9 choosing 4? (9C4) please show all work
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Question 747208: What is 9 choosing 4? (9C4) please show all work
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Question 747303: how many ways can you arrange 6 students in the front row if there are 30 total students?
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Question 747297: In Minnesota, license plates have 3 letters followed by 3 numbers or vice versa. You can repeat no more than two letters in any order. How many possible license plates are there?
Must show all work, can someone please assist me?

Click here to see answer by stanbon(75887) About Me 

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