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

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Question 977137: How many multiple of 4 are there in 15
Click here to see answer by josgarithmetic(39617) About Me 

Question 977148: You have a bag with the letter cards P, O, T, S in it.
If you draw them out in order to spell a 4-letter "word," what is the probability of spelling a real word?

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Question 977168: Evaluate the combination. C(6,0). Please solve. Thank you.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 977179: There are two outcomes altogether, A and B. What is P[A or B]?
Click here to see answer by solver91311(24713) About Me 

Question 977178: You draw a card from a standard deck of 52 cards, then roll a 6-sided die.
1. What is the probability of drawing an two card, and rolling a two on the die?
2. What is the probability of drawing an even card, and rolling an even number on the die?
(Express your answer as a fraction.)

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Question 977204: There are two outcomes altogether, A and B. What is P[A and B]?
Click here to see answer by Alan3354(69443) About Me 

Question 977203: There are 10 equally-likely outcomes altogether. Whats the probability or getting any one of those outcomes?
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Question 977309: In the Smart National Challenge, the probability of a person clearing the
certification, and appearing for the Equity Research certification is 0.5. There is
a record that given a candidate has appeared for an equity research
certification, the probability that he will clear it is 0.7. The chance of a person
getting in top 10 rank holders and appearing for the equity research certificate
is 0.3. What percentage of candidates, given they have appeared for an equity
research certification, are likely to get into top 10 rank holders?

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

Question 975685: A program consists of four musical numbers and
three speeches. In how many ways can the program
be arranged so that it begins and ends with a musi-
cal number
An experiment has six possible outcomes with the
following probabilities:
Is this a valid probability assignment?
P1=0.02
P2=0.3
P3 =0.1
P4=0.0
P5=0.2
P60.3

Click here to see answer by Fombitz(32388) About Me 

Question 977501: A restaurant donated 6 identical gift cards to be raffled off at a local charity event. At the charity's fundraising event, 12 people buy a raffle ticket to try to win one of the gift cards, and their raffle tickets are placed into a single can. The raffle organizer then randomly picks 6 tickets from the can to determine the gift card winners. How many possible outcomes are there?


Click here to see answer by xxLaurax(5) About Me 
Question 977501: A restaurant donated 6 identical gift cards to be raffled off at a local charity event. At the charity's fundraising event, 12 people buy a raffle ticket to try to win one of the gift cards, and their raffle tickets are placed into a single can. The raffle organizer then randomly picks 6 tickets from the can to determine the gift card winners. How many possible outcomes are there?


Click here to see answer by Jjona5(1) About Me 

Question 977325: If you know that 20 women and 16 men are still alive, and are told exactly ten of them will attend, what is the probability that you would have exactly five men and exactly five women attend?
Please explain in detail how you got the answer.

Click here to see answer by anand429(138) About Me 

Question 977503: An unbiased coin is tossed 15 times. In how many ways can the coin land tails either exactly 8 times or exactly 5 times?
Click here to see answer by Fombitz(32388) About Me 

Question 977561: How many distinguishable permutations of letters are possible in the word LOOK. Please solve and show work. Thank you.
Click here to see answer by Boreal(15235) About Me 

Question 977708: How many different 3 digit numbers can be formed using the digits 0,2,5 without repeating any digit in the number?
Click here to see answer by Fombitz(32388) About Me 

Question 977756: How many ways are there for choosing 5 states from the top 10 states with the most murders if order is considered? What about if order is not considered?
Click here to see answer by Boreal(15235) About Me 

Question 977779: _+_+_=30
Choose 1,3,5,7,9,11,13,15
Only 3 numbers will be correct
Which 3 numbers are correct

Click here to see answer by Fombitz(32388) About Me 

Question 977814: I've run into a road block with Combinatorial Probability. I did the first two questions on my homework fine, I think the idea here is to add a step. Do not know what the next step is (meaning, the material is progressively more difficult). I computed previously leading to the n!/r!(n-r)!.
3. There are 27 tasks available. You will be randomly assigned 12 of them. There are 10
of them that you want to do.
(a) What is the probability that you will be assigned none of the tasks that you want?
(b) What is the probability that you will be assigned exactly 7 of the tasks that you
want?
(c) What is the probability that you will be assigned at least 1 of the tasks that you
want?
(d) What is the probability that you will be assigned at least 7 of the tasks that you
want?

Click here to see answer by solver91311(24713) About Me 

Question 976741: pleas, solve me
1) if nP5=6720 find n
2) solve equation for n
nP3=210
thank you for your helping us

Click here to see answer by Edwin McCravy(20054) About Me 

Question 977434: Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
There are 50 applicants for two Systems Engineer positions at a local company.

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Question 978103: The Niagara Ice dogs have 4 people trying out for goal. Their coach wants to try a different goalie in each of the three periods of an exhibition game. In how many ways can the coach choose the three different goalies for the game?
Click here to see answer by Boreal(15235) About Me 

Question 978502: In how many ways can a class of 20 pupils be split into two groups of 8 and 12,If there is two twins who can't be separated?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 978632: Given 3 numbers A, B and C. What is the sum of all numbers whose digits are made only of 4, 5 and 6, that have at most A 4's, B 5's, and C 6's in decimal representation, respectively.
Constraints: 0 <= A, B, C <= 10. ( "<=" indicates less than or equal to).

Click here to see answer by Edwin McCravy(20054) About Me 

Question 978338: A local ski sale features eight types of skis, six types of bindings, and seven types of boots. How many different ski/binding/boot packages are available?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 978719: if 7 houses of different designs are to be constructed in a housing project so that 4 particular designs are to be constructed on one side of a street and the remaining 3 on the other side, in how many ways can the houses be placed?
Click here to see answer by Theo(13342) About Me 

Question 978238: (X^3+y^2)^6

Click here to see answer by Edwin McCravy(20054) About Me 

Question 978820: There are 6 students participating in a poetry contest. In how many ways can the students who go first and second in the bee be chosen?
Click here to see answer by Fombitz(32388) About Me 

Question 979196: Evaluate or simplify (n-1)!
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Question 979302: Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Click here to see answer by KMST(5328) About Me 

Question 979398: Urblale
Click here to see answer by Edwin McCravy(20054) About Me 

Question 979205: 1. In how many ways can the letters of the word POLICEMAN be arranged if the "word" must begin with L and end with a vowel?
2. What is the probability that if the letters of POLICEMAN are randomly placed in a row, the "word" will begin with L and end with a vowel?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 979560: You create a four digit number using digits from 0 to 9. How many numbers can be made if the first number can not be 0?
Click here to see answer by Fombitz(32388) About Me 

Question 979649: If a club consists of 16 members, how many different arrangements of
President vice president , and secretary are possible?i

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Question 979728:
Add 5 non repeat prime numbers upto 20 to get 30.
Assume suitable data.

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Question 980253: a) In how many different ways can the five starting players of a basketball team be introduced to the public?
b) Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?
c) How many different committees of two chemists and one physicist can be formed from the four chemists and three physicists on the faculty of small college?

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Question 980252: Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 980377: questions
(1) If the probability of an event NOT happening is 0.06 what is the probability of it happening?
(2)Evaluate 10C3?
(3)if a teacher grades distribution is over 3 years what are empirical probability for some to get A,C,D when A=39, C=258, and D=124?
(4)If there are 984 flower which 632 are white and 352 are purple what is the probability that you will pick a white flower?

Click here to see answer by Boreal(15235) About Me 

Question 980399: Question
If there are 12 people applying for 3 positions how many ways can the positions be filled?

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Question 980418: question
How do you reduce the fraction 118/718?

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Question 980411: nC3 = nC4, Find n
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Question 980445: There are twenty dogs in the “Top Dog Show”. Three of the dogs will be chosen as finalists for top honors. There are how many possible ways for a dog to be selected as a finalist?
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Question 980460: find the limit as t approaches 3 of %28t%5E3-27%29%2F%28t-3%29
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Question 980459: Find the limit as x approaches -4 of the equation %28x%2B4%29%2F%28X%5E2-3x-28%29
Answer choices are A. 11 B. (-1)/(11) C. infinity

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Question 980481: Hi, i was wondering if anyone could help me. :) question- How many numbers are equal to the sum of two odd, one-digit numbers?
Thank you :D

Click here to see answer by macston(5194) 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