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

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Question 911470: how many words can be formed using letter of 'STUDENT' using each letter at most once if some or all the letters may be omitted
Click here to see answer by AnlytcPhil(1806) About Me 

Question 911578: How many five card hands consisting of 2 kings and 3 aces can be dealt from a deck of 52 playing cards?
I have it set up as C(52,2)=52!/(2!50!) & C(52,3)=52!/(3!49!)

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

Question 911657: Out of 25 students in a class,10 are to be chosen for an excursion party.3 of them decides either all will go or none of them.In how many ways is the excursion possible?
Click here to see answer by ewatrrr(24785) About Me 

Question 911620: On an assignment, students are expected to answer at least 3 questions from a 24 question set. But they can complete as many questions as they wish (for bonus!).
How many possible ways can they complete the assignment?

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Question 911604: Question: On an assignment, students are expected to answer at least 3 questions from a 19 question set. But they can complete as many questions as they wish (for bonus!).
How many possible ways can they complete the assignment?
Note: Consider all questions do-able, and each student will complete at least the minimum number of questions.
Can't seem to figure this problem out?! Help.

Click here to see answer by ewatrrr(24785) About Me 

Question 911745: Evaluate the permutation (36, 19)
Use scientific notation. Round to four decimal places as needed.

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Question 912368:
Click here to see answer by Edwin McCravy(20054) About Me 

Question 912309: find the number of arrangement of the letters of the word CERTIFICATE which begins with c
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Question 909485: There are 12 true-false questions and 14 multiple choice questions from which to choose a 5-question quiz. How many ways can the quiz be selected if there must be at least 3 multiple choice questions selected?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 912042: in how many ways can 9 people petitioned into committees containing 4,3 and 2 members respectively?
a- 9!/9!3!2!
b- 9
c- 9! 4! 3! 2!
d- 4! 3! 2!
e- 3. 4!3!2!

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

Question 912479: A state’s license plates have 3 letters followed by 4 numbers.
If letters can be repeated but the same number CANNOT be repeated, how many different license plates can be made?

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Question 912563: A pollster randomly selected 4 of 10 available people.
How many different groups of 4 are possible?

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Question 912625: There are five people in my family. How many different groupings of these five people can be formed (i.e. groups with from 1 to 5 members)?
I know the answer is 31, but is there a formula for solving this? (Not homework, just a problem I thought of, and can't find a method on the internet!)
Thank you!

Click here to see answer by ichigo449(30) About Me 

Question 912763: A class of 10 students (5 boys and 5 girls) is lined up against a wall to have their class picture taken. How many different line-ups are possible if no two boys are standing next to each other?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 912712: You have 32 students and have to select 5 as class reps. How to choose thes students.
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Question 912590: Expand and simiplify: (3m2+2m2)4

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Question 912890: If u don't mind how 2 make english correct sentences in exam as well as speech
Click here to see answer by richwmiller(17219) About Me 

Question 912933: Suppose repetitions are not allowed. Answer the following:
a) Find how many three-digit numbers can be formed from the following six digits: 2, 3, 5, 6, 7, 9
b) How many even three-digit numbers can be formed from these six digits?
c) What is the probability that a three-digit number greater than 400 will be formed from these six
digits?
i am having problems especially with b, because there are only 2 even numbers.

Click here to see answer by ewatrrr(24785) About Me 

Question 912953: One in a thousand people is a carrier of a particular heart disease. There is a test to detect this disease.
The test is 100% accurate for people who have the disease, and is 95% accurate for those who don't
(this means that 5% of people who do not have the disease will be wrongly diagnosed as having it). If a
randomly selected person tests positive, what is the probability that the person actually has the disease?
i just need help with the parameters, in the question imagine
A= has the disease
B =test result positive.
so will
A be 1/1000 , A' = 999/1000 ?
and i dont know what B will be, please help

Click here to see answer by ewatrrr(24785) About Me 

Question 912978: A restaurant menu has 7 choices for a beverage, 15 choices for the main dish, 9 side dishes, and 5 choices for a dessert. You can choose one beverage, one main dish, one side dish, and one dessert. How many different meals are possible?
Click here to see answer by ewatrrr(24785) About Me 

Question 912985: The probability that a person in the United States recycles is 75%. Two unrelated people in the U.S. are selected at random. Find the probability that both people do not recycle.
Click here to see answer by ewatrrr(24785) About Me 

Question 912995: The percentage of Americans who are vegetarians is 3.2%. Four people are randomly selected and are asked if they are vegetarians. Find the probability that exactly one person said he or she is a vegetarian.
Click here to see answer by ewatrrr(24785) About Me 

Question 912991: In how many ways can the letters QUIZ be arranged?
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Question 913000: The percentage of Americans who are vegetarians is 3.2%. Four people are randomly selected and are asked if they are vegetarians. Find the probability that at most one person said they are vegetarians. Hint: You must find the probability that zero people (x = 0) and one person (x = 1) said they are vegetarians.
Click here to see answer by ewatrrr(24785) About Me 

Question 913159: In how many ways can the letters of the word "fish" be arranged if each arrangement is to consist of five letters and repetition is not allowed? if repetition is allowed?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 913340: In a standard deck of 52 cards, determine the number of 5-card hands that must contain at least 3 queens.
Please show work and explain, thanks!

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

Question 913679: a+b+c+d=30. Find all the possible combinations
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Question 913724: I want to find all the ways to order 5 people (numbered 1:5) in 3 rows (rows a:c).
the only constraint is that each row can contain only 3 people.
What i am looking for is the formula to do this.
Any help would be appreciated
thanks

Click here to see answer by rothauserc(4718) About Me 
Question 913724: I want to find all the ways to order 5 people (numbered 1:5) in 3 rows (rows a:c).
the only constraint is that each row can contain only 3 people.
What i am looking for is the formula to do this.
Any help would be appreciated
thanks

Click here to see answer by josmiceli(19441) About Me 

Question 913760: If a passcode consists of 2 letters followed by 3 digits, what is the probability someone will correctly guess the passcode?

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

Question 914242: using the vowels of the english alphabet, how many different possible 3-letter code words can be formed?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 914330: A class has 20 women and 16 men. In how many ways can you put all the students in a row?

Click here to see answer by ewatrrr(24785) About Me 

Question 914402: How many terminal zeros are there in the decimal form of 251.
Click here to see answer by Alan3354(69443) About Me 

Question 915103: if you have 5 entrees 4 side dishes and 6 desserts, how many meals can you make?
Click here to see answer by tonyclarke(17) About Me 

Question 915302: how many ways may 6 people be sealed at a round table such that they can still sit anywhere?
Click here to see answer by richwmiller(17219) About Me 

Question 915417: In a standard deck of 52 cards, determine the number of 5-card hands that must contain at least 3 queens.
Please explain and show work, I'm stuck on this one! Thanks so much!

Click here to see answer by ewatrrr(24785) About Me 

Question 915421: Hi, I'm having trouble with the following problem:
There are 7 boys and 5 girls in the debate squad at Franklin High School. In how many ways can a 4-member debating team be selected:
a. If there are no restrictions? (I found this one: C(12,4) = 495)
b. If 2 boys and 2 girls must be on the team? (I found this one too: C(7,2) x C(5,2) = 210
c. If at least two boys must be on the team? (I can't figure out how to set this one up.)
Help!! For C., I have tried multiple ways of working out the problem, but I need help with how to set it up. I know for C. is 420.
Thank you!

Click here to see answer by ewatrrr(24785) About Me 

Question 915425: Hi, I'm really stuck on this card problem:
From a standard 52-card deck, how many 5-card poker hands can be dealt consisting of 3 kings and 1 pair?

Help! I can't figure out how to set this up at all. I know the answer is 288.
Thank you!

Click here to see answer by ewatrrr(24785) About Me 

Question 915469: ann, donna, fay, bob, and carl all want to go to the movies but ann and donna got into a fight and can not sit together in the movie theater. how many ways can they be seated in a row?

Click here to see answer by ewatrrr(24785) About Me 
Question 915469: ann, donna, fay, bob, and carl all want to go to the movies but ann and donna got into a fight and can not sit together in the movie theater. how many ways can they be seated in a row?

Click here to see answer by josmiceli(19441) About Me 

Question 915824: A junior high girls' basketball team is to consist of 5 players. How many different teams can the manager select from a roster of 12 girls?


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

Question 915839: you have 5 Gs and 9 Fs. How many ways can these letters be lined up if the Gs cannot be next to eachother?
Click here to see answer by richard1234(7193) About Me 

Question 915941: A yacht race has 12 competitors. How many different ways can 1st, 2nd, and 3rd be awarded?
Click here to see answer by ewatrrr(24785) About Me 

Question 916162: a community of 3 women and 2 men is to frim a pool of 11 women and 7 men how many different community can be form



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Question 916586: I have tried solving this type of question multiple times, I am not sure if I am missing a step somewhere. The question is:
A insurance fraud inspector is going to audit 7 people from a pool of 18 people. How many different combinations are there?
I'm pretty sure you would use the formula 18!/ 7!(18-7)! however, my calculator does not have n! or any others to work these formulas so I am having to plug everything in on my own in my calculator. Have read thoroughly through my book and professor provided no lecture for this unit. In desperate need of explaining. I know that when the order doesn't matter, but you don't have the same total you would do 18*17*16....etc. Not sure what I'm doing wrong.

Click here to see answer by ewatrrr(24785) 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