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

Algebra ->  Algebra  -> Permutations -> Questions on Algebra: Combinatorics and Permutations answered by real tutors!      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Tutors Answer Your Questions about Permutations (FREE)


Question 220713: HI!! i need help with this question..
You draw one card 52-card deck. The card is replaced and the deck and the deck is reshuffled, then you draw a second card. Find the probability of drawing jack the first time and a club the second time.
thank you for your help!!!

Click here to see answer by tutor_paul(424) About Me 

Question 220739: A game is played using one die. If the dir is rolled and shows 1, the player wins $1. If the die is rolled and shows 2, the player wins $2, if the die is rolled and shows 3 the player wins $3. If the die shows 4, 5, 6 the player wins nothing. There is a charge of $1.25 to play this game. What is the game's expected value?
thank you!

Click here to see answer by stanbon(26367) About Me 

Question 220982: A single die is rolled twice. Find the probability of rolling an odd number the first time and a number less than 3 the second time.
thank you for your help!

Click here to see answer by josmiceli(3021) About Me 

Question 220993: you draw one card from a 52-card deck. The card is replaced and the deck is reshuffled, then you draw a second card. Find the probability of drawing a 3 each time.
Click here to see answer by drj(1380) About Me 

Question 220992: You draw one card from a 52-card deck. The card is replaced and the deck is reshuffled, then you draw a second card. Find the probability of drawing a jack the first time and a club the second time.
Click here to see answer by drj(1380) About Me 

Question 220987: A single die is rolled twice. Find the probability of rolling a 5 the first time and a 1 the second time.
thank you for your help

Click here to see answer by checkley77(7172) About Me 

Question 221650: This problem stumps me..can u please explain how to work it??
The producer of All Things Considered, a radio-news program on NPR, has 4 in-depth and 8 short news stories for broadcast during the next two hours. The producer must arrange the in-depth and short stories by starting with an in-depth story followed by two short stories, and then another in-depth story and two short stories until all 12 stories have been aired. How many arrangements for the broadcast are possible?

Click here to see answer by stanbon(26367) About Me 

Question 221997: I'm brand new to this site. Can someone please give me a 30 second intro?

Click here to see answer by checkley77(7172) About Me 

Question 222300: Hello,
I'm good with solving direct and inverse but they threw in direct and inverse and I'm not quite sure how to treat this problem. Is it two problems?
Suppose z varies directly as the square of x and inversely as y. If z=8 when x=4 and y=6, find z when x=6 and y=12.
Thank you

Click here to see answer by solver91311(5106) About Me 

Question 223125: Playing deck of 52 cards. Select a card from the deck. What is the probability that the card will not be a face card? i have 40/52. 12 face cards minus the 12 face cards. am i close? if not could you explain how to get this answer. thanks ever so much.
Click here to see answer by Edwin McCravy(2938) About Me 

Question 223834: A store received a shipment of stuffed animals. The stockperson placed 1/5 of them on the shelves, leaving 280 of them in storage. How many of the items were in the shipment?
Click here to see answer by Edwin McCravy(2938) About Me 
Question 223834: A store received a shipment of stuffed animals. The stockperson placed 1/5 of them on the shelves, leaving 280 of them in storage. How many of the items were in the shipment?
Click here to see answer by checkley77(7172) About Me 

Question 223838: Keith is lining both sides of his 27- foot long 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 rfer(2696) About Me 

Question 223863: To make an A in Mrs. Boudreauxs class, a student must have an average of at least 90 on all five tests. Andy has made grades of 91, 83, 89, 92 on the first four tests. What must he make on the fifth test in order to get an A in Mrs. Boudreaux's class?
Click here to see answer by rfer(2696) About Me 

Question 223828: A license plate consists of two letters then three digits. How many different plates can be madeif the first letter cannot be a vowel and the first digit cannot be zero? (Remember, vowels are a,e,i,o,u but not y.)
Click here to see answer by Edwin McCravy(2938) About Me 

Question 223869: Last year at a certain car dealership the ratio of cars to suv's sold was 5 to 3. If 400 cars were sold, how many SUV's were sold?
Click here to see answer by rfer(2696) About Me 
Question 223869: Last year at a certain car dealership the ratio of cars to suv's sold was 5 to 3. If 400 cars were sold, how many SUV's were sold?
Click here to see answer by drj(1380) About Me 

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(7172) About Me 

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

Click here to see answer by LtAurora(115) About Me 

Question 224816: How do I solve the following problem?
Evaluate P(7,3).
Thanks for your help.

Click here to see answer by LtAurora(115) About Me 

Question 225445: in how many ways can a committee of at least one person be formed from seven club members?
Click here to see answer by solver91311(5106) 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
Click here to see answer by solver91311(5106) 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(2938) 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(3330) About Me 

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(6153) About Me 

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?
Click here to see answer by stanbon(26367) About Me 

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

Click here to see answer by stanbon(26367) About Me 

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?
Click here to see answer by solver91311(5106) About Me 

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_________


Click here to see answer by Edwin McCravy(2938) About Me 

Question 230580: how many sequences of four heads and three tails can be obtained from seven coin tosses?
thank you very much.

Click here to see answer by stanbon(26367) 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
Click here to see answer by jsmallt9(606) 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(26367) 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(5106) 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(3400) 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(7172) 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(26367) 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(6153) 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(691) About Me 

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(3330) 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?

Click here to see answer by stanbon(26367) About Me 

Question 234156: How many ways can 12 people be seated in 20 chairs?
Click here to see answer by nyc_function(290) About Me 

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

Click here to see answer by stanbon(26367) 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(26367) 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(2938) About Me 

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(3021) 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