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

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Question 945814: At bus stop, there are 11 people in queue, 7adults and 4children. calculate number of arrangements of these 11 people such that CHILDREN ARE ALL STOOD NEXT TO EACH OTHER?
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Question 945739: Stoney Creek is running out of phone numbers. They need a new area code for the city. How many options do they have if they cannot use 0 as the first number or the last number in the three digit area code? (remember that they also cannot use 905 or 289 as they are already full)
Click here to see answer by Edwin McCravy(20054) About Me 

Question 945842: The alphabet contains 26 letters, 5 of them are vowel. How many codes consisting of 5 letters, 3 consonants and 2 vowels can be formed? From this amount, how many are there that
a) contain the letter b?
b) contain both the letters b and c?
c) contain the letter b and end with c?

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

Question 945892: The student council are running a guess the combo contest to win a locker full of candy. If the lock has 30 numbers on it how many four number combinations are possible if two numbers cannot appear consecutively?
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Question 945902: How many ways can you draw a nine or a club from a deck of cards? And why do you subtract it by 1??
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Question 945817: At bus stop, there are 11 people queueing, 7adults 4chilcdren. Calculate number of arrangements of these 11people such that FIRST and LAST people in the queue are adults?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 945890: Here is the final question for the assignment.

A quality control inspector samples 4 computer chips from a box containing 12 computer chips. If the box contains 2 defective chips, in how many ways can he select a sample so that both defective chips are selected?
We haven't done anything to this extent in class and we're expected to just know it. Please and thank you.

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

Question 945889: Hello, this is the second question that I have from the assignment.

Five cards are drawn from a standard deck of 52 cards. How many hands of five cards have at least one red card?
This seems like it would be too easy and I think I'm just overthinking it.
Thank you in advance whoever you are.

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

Question 945887: Hello, I'm doing some homework problems and I've gotten 17 of the 20 correct so far. There's just a few that I need help on, here is one of them.
A group of 9 males and 9 females volunteer for a medical study. Three volunteers are selected.
How many ways can the three subjects be selected from the 18 volunteers? (I found that this is 816 by doing C(18,3)
How many selections contain at least two females?
How many selections contain at most one female?

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

Question 945594: A bookcase contains 6 different math books and 12 different physics books. If a student randomly selects two of these books, then what is the probability he or she selects two books from the same subject?

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

Question 945839: A new area code is needed for the city. How many options do they have if they cannot use 0 as the first number or the last number in the three digit area
code? (remember that they also cannot use 905 or 289 as they are already full)

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

Question 945959: The student council are running a guess the combo contest to win a locker full of candy. If the lock has 30 numbers on it how many four number combinations are possible if two numbers cannot appear consecutively? Why is it 30 then 29 three times?
Click here to see answer by richard1234(7193) About Me 

Question 945877: 36 people in groups of 3 how many groups such that no 2 people are in more than 1 group>
Click here to see answer by Edwin McCravy(20054) About Me 

Question 941444: Given the word BASKETBALL, How many permutations begin with the letter K? And How many permutations have the 2 L's together?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 946087: With solution please
1.) In how many ways can 6 men be arranged in a row for a show if just 4 men are capable of acting as end men?
2.) The captain of a basketball team assign himself to the 4th place in the shooting order. In howmany ways can he assign the remaining to his 4 teammates, if just 3 men are considered eligible for the first position?
3.) A college freshman must take Mathematics, an English and a Social Science subjects. If he may select 3 Mathematics subjects, and any of English subjects and any of 5 Social Science subjects, in how many ways can he arrange his program?
4.) Each license plate in a certain state consists of three letters followed by two numbers with repetition allowed. How many different license plates are possible in this state?

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

Question 944989: Five different books will be displayed in the library window.how many different arrangements are there?

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Question 945069: . A committee of 5 is to be chosen from 12 members of the Board of Directors, 3 of whom are accountants. How many ways can this done if at least two of the committee members must be accountant?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 935999: A, B and their teammates watched a movie, they all sit in a row and they can sit in n different ways ,in how many ways can A sit to the right of B
Click here to see answer by Edwin McCravy(20054) About Me 

Question 945181: there are thirty fabrics at a quilt store. how many different groups of five can you choose for a quilt?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 944776: i have 12 vases how many ways ca i arrange 5 vases on a display shelf.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 946145: in how many ways can 3 pictures be selected from a group of 8 different pictures, and then arranged side by side on a wall?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 945755: A system designer is asked to design an inventory system for a hardware manufacturer. The manufacturer produces 57,826 different kinds of hardware. The system designer must decide on a way to identify the different kinds of hardware. Each id# is to begin with two letters of the alphabet. Any letter can be used except I,O,Z. The rest of the id# is to consist of digits. How many digits must the designer include in the id# format to ensure that each kind of hardware has a unique id#s?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 944463: find the the number of ways in which a group of 3 people can be chosen from 6 students, 5 parents and 4 teachers without restriction

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Question 946147: how many 7-digit telephone numbers are possible if the first digit cannot be zero and
A)every other digit is odd

B)the telephone number must start with 226 and end with 5
C) no repetitions are allowed

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

Question 946288: Given a 6x4 grid.
How many ways could Charley travel from home to school if he can only travel east or south?



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Question 946333: In how many ways can the letters of the word CAT be arranged to form three-letter words, if you are permitted to repeat a letter any number of times?
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Question 946865: How many natural numbers that are less then 3000 can be made using the digits 0-6 if repetition is allowed?
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Question 946844:
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Question 947080: ()+()+()=30
fill in the box
(1,3,5,7,9,11,13,15) u can also repeat the number

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

Question 946948: There are 9 nurses and 6 doctors working in a hospital ward. How many ways could they form a safety committee of 5 people if there needs to be exactly one nurse

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Question 947218: how do you find distinct permeation of the word immunology can you give me the formula and how it works for engineering as well?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 946470: Five digit numbers of different digits are formed at random from the digits { 0, 1, 2, 3, 4, 5, 6 }. What is the probability that number formed is even?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 947200: How do you solve this question:
How many permutations of the word MINIMUM begin with an "m"?

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Question 947191: Show that the way in which the entries in Pascal's triangle are formedby adding "above left" and "above right' is consistent with the following statement;
nCr-1 +nCr =n+1Cr
Use the fact that nCr = n!/(n-r)!r! to show that the above statement is true.

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

Question 946748: How many five-letter words are there in which no letter appears 3 or more times in a row?
a. compute the answer by using an indirect counting method
b. check your answer to part a by using a direct counting method to find the answer.

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

Question 947428: If I have three data metrics (questions) and four possible responses for each (0, 1, 2, 3), how many possible answers are there total?
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Question 946642: 2) At a local kennel there are 800 dogs staying over the March Break. Of these dogs, 518 are male, 212 are brown and 375 are puppies. 247 are male puppies, 143 are brown puppies and 107 are brown males. 68 are brown male puppies. How many of the dogs are Females who are older and not brown? Plus, Show a Venn Diagram showing this situation.

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

Question 947685: How many arrangements are there if 8 playing cards are drawn from a deck of cards?
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Question 947905: Given five women and three men, how many ways can a three-member committee be selected?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 947762: Find the number of different signals concocting of 11 flags that can be made using 4 red flags, 4 white flags and 3 blue flags
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Question 947725: You are going to buy a new outfit. In the store you have narrowed it down to two pairs of pants, three shirts and two pairs of shoes. Draw a tree diagram to show how many options you have. Do not use the mathematical formula.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 947271: You are going to buy a new outfit. In the store you have narrowed it down to two pairs of pants,three shirts and two pairs of shoes. Draw a tree diagram to show how many options you have. Do not use the mathematical formula
Click here to see answer by Edwin McCravy(20054) About Me 

Question 947488: Use the fact that nCr = n!/(n-r)!r! to show that:
a.). nCr = nCn-r
b.) (n/r)(n-1Cr-1) = nCr

Click here to see answer by Edwin McCravy(20054) 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