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

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Question 241278: You order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability that at least two have hot peppers. (Round the answer to three decimal places.)
My mother told me 0.36 but my teacher said it was wrong. Could you please help me.

Click here to see answer by Theo(674) About Me 

Question 241104: an octagon has 8 sides. How many diagnals does an octagon have??
my answer is 28 diagnals.

Click here to see answer by edjones(3292) About Me 

Question 241099: (n+2)!/n!=56
where n=N
my answer: n= 7

Click here to see answer by vleith(1977) About Me 

Question 240223: How many five-letter passwords can be made if no letters are repeated?
Click here to see answer by solver91311(5072) About Me 

Question 240193: how many three person teams can be chosen from a group of five people?
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Question 239964: ann has 7 books she wants to put on her bookshelf how many posible arrangments
are there?

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Question 238688: How many ways can 1 apple, 1 orange, and 1 peach be selected from 5 apples, 9 oranges, and 4 peaches?
Click here to see answer by checkley77(7035) About Me 

Question 238443: hey im kushal and i need to find all the combinations of 6 numbers that are obtained from 1 to 40 only.
please reply me as some as possible before 14 nov 2009- 17:00

Click here to see answer by Theo(674) About Me 

Question 237905: 140!
Click here to see answer by Alan3354(6060) About Me 

Question 237643: k= 1!+ 2! +3!.......+n!
what is the no. of values of n for which k is a perfect square

Click here to see answer by Edwin McCravy(2920) About Me 

Question 237249: Each child in a family has at least 2 brothers and 2 sisters. What is the smallest number of children the family might have?
Click here to see answer by Theo(674) About Me 

Question 237221: A vase contains 7 red and 3 blue marbles. 3 marbles are drawn at random without replacement. Find the probability of drawing the first 2 as red and the third marble as blue
Click here to see answer by rapaljer(3620) About Me 

Question 236899: Prove that there must be at least 2 students at a college with the same last four digits of a social security number
So far, I've tried reasoning that there are 10 possible digits, and i have to choose 4 of them, so it would be a combination/permutation of 10 choose 4. (i'm not sure which one it is though) and where do I go from there

Click here to see answer by edjones(3292) About Me 
Question 236899: Prove that there must be at least 2 students at a college with the same last four digits of a social security number
So far, I've tried reasoning that there are 10 possible digits, and i have to choose 4 of them, so it would be a combination/permutation of 10 choose 4. (i'm not sure which one it is though) and where do I go from there

Click here to see answer by scott8148(3382) About Me 

Question 236655: how many different 4 digit numbers can be created if no digit can be repeated? Remember a number cannot begin with 0
Click here to see answer by checkley77(7035) About Me 

Question 236673: In how many ways can a president, vice president and secretary be chosen from a class of 30 students"?

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Question 235778: how many ways can a jury of 4 men and 4 women be selected from twelve men and ten women?
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Question 235778: how many ways can a jury of 4 men and 4 women be selected from twelve men and ten women?
Click here to see answer by josmiceli(3003) About Me 

Question 235442: Suppose a license plate contains two letters followed by three digits with the first digit not zero. How many different license plates can be printed?
Click here to see answer by Edwin McCravy(2920) About Me 

Question 235057: how can i figure out how many ways a group of 6 people can be arranged in a group of 30 people
Click here to see answer by stanbon(26259) About Me 

Question 234708: Determine the value of n which make the following statment true:
(1/2) nP7= n-2P5

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Question 234156: How many ways can 12 people be seated in 20 chairs?
Click here to see answer by nyc_function(260) About Me 

Question 233615: In how many ways can 7 people be seated in a row if two of them, Eddie and John, refuse to sit next to each other?

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Question 233542: a password consists of 2 letters and 2 digits (0-9). The letters and digits CANNOT be repeated. How many passwords are possible?
Click here to see answer by edjones(3292) About Me 

Question 233437: 16) In how many ways can 7 people be chosen and arranged in a straight line, if there are 9 people from whom to choose? 16) ______
A) 72 ways B) 63 ways
C) 144 ways D) 181,440 ways
*****AM I USING PERMUTATION, COMBINATIONS or is it 9*7=63?******

Click here to see answer by Theo(674) About Me 

Question 233430: a password consist of 2 letters and 2 digits (0 through 9) .the letters and digits cannot be repeated.how many passwords are possible?
but te answer is 58500 why?
















/

Click here to see answer by Alan3354(6060) About Me 

Question 232654: I am going to ask four questions. My questions are on the counting method, I have a test on it very soon and if you guys could anwser and explain asap that would be great :)
1. Jeff Hubbard, a contractor. builds homes of eight diffrent models and presently has five lots to build on. In how many diffrent ways can he arrange homes on these lots?Assume five diffrent models will be built.
2. The ten longest broadway run includes the phantom of the opera and les miserables.Four of teh ten are chosen randomly. ( assume order is not important)
(a) how many ways can the four be chosen?
(b) How many of those groups of four would include niether of the two productions mentioned?
(c)How many of them would include atleast one of the productions mentioned?
3.Judy zahrndt wants to name her new baby so that his monogram(first.middle, and last initials) will be distinct letters in alphabetical order and he will share her last name. How many diffrent moograms should she select?

Click here to see answer by stanbon(26259) About Me 

Question 232096: The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2/3)x – 5 members and the other with (x/4) members. How many people are on the school board?
Click here to see answer by checkley77(7035) About Me 

Question 231962: My teacher and I cannot figure this out. Please help us.
A lodge has 50 members of whom six are physicians. In how many ways can you choose a committe of 10 that the committe contains at least three physicians?

Click here to see answer by scott8148(3382) About Me 

Question 231623: How many four-digit numbers can you form from the numbers 1,2,3,4,5,6,7,8, and 9 (a) if you use each digit only once? (b) if you can repeat each digit.
Click here to see answer by solver91311(5072) About Me 

Question 231586: In how many ways can a person enter a room that has three doors and leave it by (a) a different door? (b) any door?
Click here to see answer by stanbon(26259) About Me 

Question 230672: How many 4-digit number are even of the number set ( 0,1,2,3,4,5) if 0151 is not considered a 4-digit
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Question 230580: how many sequences of four heads and three tails can be obtained from seven coin tosses?
thank you very much.

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Question 230085: PERMUTATIONS OF SET
Calculate each of the following permutations.
1. 6P2______ 2. 8P4______ 3. 9P1_______ 4.7P4_______ 5. 8P6______ 6. 10P7______
7. 15P3________ 8. 13P9_______ 9. 20P5_________


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Question 229666: In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 15 prospective jurors?
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Question 229101: How many combinations of three digits can be made from the numbers 0-9 without repetitions?
Please correct my answer if its wrong.
n=10
r=3
nPr=(n!)/(n-r)!
= (10!)/(10-3)!
= (3,628,800)/ (7)!
= (3,628,800)/5040
= 720

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Question 228487: There are 12 questions on an examination and each student must answer 8 questions including at least 4 of the first 5 questions. How many different combinations of questions could a student choose to answer?
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Question 227895: Social Security numbers are in the form ###-##-####, where each symbol represents any number 0-9. How many Social Security numbers are possible using this format? Will we ever run out of Social Security numbers?
Would it be 90 factorial? Thank you.
Jim

Click here to see answer by Alan3354(6060) About Me 

Question 227480: Mr. Wu’s biology class is writing group reports about
the Hawaiian Islands. He has a total of 10 groups.
Mr. Wu will assign an island and a topic at random
to each of the groups. No two group assignments will
be the same.
Five Islands: Hawaii, Maui, Lanai, Oahu,
or Kauai
Topics: Plant Life or
Animal Life
Linda and Kim are in different groups, but they both
want to write about Kauai. What is the probability
that both Linda’s and Kim’s groups will receive Kauai
assignments?
A.1/5
B.1/45
C.1/50
D.1/90

Click here to see answer by edjones(3292) About Me 

Question 227351: Jasmine says that there are 362,880 distinguishable permutations of the letters in the word TEXTBOOKS. Do you agree?

Click here to see answer by Edwin McCravy(2920) About Me 

Question 226150: a computer with an old processor locks up if more than 4 applications are running simultaneously if the owner has 20 applications stored on his program file, how many different sets of 4 can he run
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Question 225445: in how many ways can a committee of at least one person be formed from seven club members?
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Question 224816: How do I solve the following problem?
Evaluate P(7,3).
Thanks for your help.

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Question 224817: How do I solve the following problem?
Evaluate C(7,3).
Thank you.

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Question 223875: Keith is lining both sides of his 27- foot driveway with low-wattage lamps. He plans to install one at each end and place one every three feet. How many lamps should he buy?
Click here to see answer by checkley77(7035) 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