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

Tutors Answer Your Questions about Permutations (FREE)

Question 179259: Please you help me fins these problem.
How do you know?
1.) For her aquarium, Susan can choose from 4 types of fish and 3 types of plants. If she chooses one type of fish and one type of plant, how many different aquariums can Susan set up?
2.) Lottery numbers in a particular state consist of 6 digits. Each lottery ball that is drawn has six sides numbered 1-6. How many different lottery numbers are possible?
3.) The soccer team is silk-screening T-shirts. They have 4 different T-shirts and 2 different colors of ink. How many different T-shirts can be made using one ink color on a T-shirt?
4.) A travel agent is offering a vacation package. Participants choose the type of tour, a meal plan, and a hotel class from the table below

TOUR MEAL Hotel
Walking Restaurant 4-star
Boat Picnic 3-star
Bicycle 2-star
1-star
How many different vacation packages are offered?
Please rely me back as soon as you could.
Thank you so much.
Click here to see answer by stanbon(75887)

Question 180291: The number of 5 and 6 letter words, with no repetitions allowed, that can be formed from the letters in N U M B E R is?
Click here to see answer by stanbon(75887)

Question 180289: For the same price you can order a basic pizza and add any two extra toppings from a choice of six different toppings. If a double of one topping is allowed, the number of different pizzas with two toppings is?
Click here to see answer by edjones(8007)

Question 180656: The number of distinct ways the letters A B C D E F G H I can be arranged in a circle is?
Click here to see answer by Mathtut(3670)

Question 180656: The number of distinct ways the letters A B C D E F G H I can be arranged in a circle is?
Click here to see answer by stanbon(75887)

Question 180960: Expand using the binomial expansion formula. Show your set-up using the {n/r}notation for the binomial coefficient. Simplify the expansion.
(a - b) exponent is 6.
I do not understand the subtraction with the expansion formula. Please help!!
Click here to see answer by Alan3354(69443)

Question 180974: FOR THE same price you can order a basic pizza and add any two toppings from a choice of six different toppings. If a double of one topping is allowed, the number of different pizzas with two toppings is.
a. 36
b. 30
c. 12
d. 6
Click here to see answer by stanbon(75887)

Question 181071: Show how both sides equal.
sin 45 degrees= Square root 1-cos 90 degrees/2.
PLEASE HELP
Click here to see answer by eperette(173)

Question 181304: CAN SOMEONE HELP PLEASE....
2 x nP2 + 50= 2nP2 is?
a. 3
b. 4
c. 5
d. 6
I cannot figure this one out
Click here to see answer by stanbon(75887)

Question 181936: What is the probability of a seven-digit (7) phone number containing the number seven (7)?
Click here to see answer by josmiceli(19441)

Question 182009: EXPAND (g+2)(g-5)

Click here to see answer by checkley77(12844)

Question 182009: EXPAND (g+2)(g-5)

Click here to see answer by Earlsdon(6294)

Question 182138: how many different number plates combinations can you make from the follwing digits and letters: L 7 A D 4 1
Click here to see answer by vleith(2983)

Question 182993: the computer department in a large company assigns a personal code number to each employee in the form of a three digit number,using the digit 0to 9 inclusive.code numbers starting with 0 are reserved for members of management.how many code numbers are available for non-management employees?

Click here to see answer by Alan3354(69443)

Question 183108: this question is from the text book of class xi of chapter permutation and combination and the question is .....
three letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each enveloped contains exactly one letter. find the probability that one letter is in its proper enveloped.
Click here to see answer by Edwin McCravy(20054)

Question 183649: 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 stanbon(75887)

Question 183556: you are placing 12 pictures on separae pages in an album. how many different ways can you order the 12 pictures in the album? how many different ways can 4 of the 12 pictures be placed on the first 4 pages?
Click here to see answer by stanbon(75887)

Question 184193: ALASKA has 6 letters with A repeated three times. Find the number of distinguishable permutations of letters in ALASKA.
I worked it out to: 6/3=2. Am I correct?
Click here to see answer by Alan3354(69443)

Question 184334: You draw 4 cards from a deck of 52 playing cards. Give the probability that all four cards are red face cards.
Click here to see answer by solver91311(24713)

Question 184743: God help me
From a group of 10 men and 12 women a comittee of 5 is to be chosen. How many commitees can be formed if there are 3 m3n and 2 women?
Click here to see answer by user_dude2008(1862)

Question 184757: Give me a hand someone PLEASe A bag contains 12 red, 5 blue, and 6 black marbles. In how many ways can two blue marbles be chosen????
Click here to see answer by stanbon(75887)

Question 186793: How many different ways can of committee of 9 be selected from a larger organization of 20 people?
Click here to see answer by checkley77(12844)

Question 187873: How many different ways are there for an admissions officer to select a group of 7 college candidates from a group of 19 applicants for an interview?
Can you help me with this problem? I know the answer is 50388, but if I do it this way it does not come out right? What am I doing wrong? HELP please!!!
19*18*17*16*15*14*13 =253955520/7 =36279360 from here I know I am a mess.
Thanks for any help, I am pulling my hair out.
Click here to see answer by jim_thompson5910(35256)

Question 188536: The local theatre is offering a "moviefest." Patrons can watch 3 different movies for the price of one and they can watch them in any order. In how many different ways can you arrange the order in which you see the three movies?
Click here to see answer by Mathtut(3670)

Question 188540: Sam had 9 sweaters. If he wore one a day for a week, how many permutations are possible?
My math teacher gave me a sheet of permutations to answer at the end of class and without previous knowledge I am having a very difficult time with these questions. I am asking the one that seems the easiest so that I can try to figure out the remaining. My answer is 36 but I'm not sure if its correct or how I should have gotten there.
Thank you.
Click here to see answer by edjones(8007)

Question 188747: nP2 = 12. Solve for n.
Click here to see answer by edjones(8007)

Question 189209: You are buying a flower arrangement. The florist has 12 types of flowers, and 6 types of vases. If you can afford exacltly 3 types of flowers and need only 1 vase, how many different arrangements can you buy?
Click here to see answer by Mathtut(3670)

Question 190473: a manufacturing company has to assign 6 digit lot numbers to its products using A-Z & 0-9, but the first dizit can not be a zero and the last two digits can not be alphabets(A-Z). so how many lot numbers can it produce?
Click here to see answer by solver91311(24713)

Question 190562: There are 15 employees eligible to form a commitee of 3. There are 7 females. What is the probability of a commitee to be made up of all females?
Click here to see answer by checkley75(3666)

Question 190561: How many different 5 digit zip codes are possible if digits are allowed to repeat?
Click here to see answer by checkley75(3666)

Question 190561: How many different 5 digit zip codes are possible if digits are allowed to repeat?
Click here to see answer by stanbon(75887)

Question 190715: A train is made up of a locomotive, 7 different cars, and a caboose. If the locomotive must be first, and the caboose must be last, how many fifferent ways can the train be ordered?
Click here to see answer by checkley75(3666)

Question 191005: what are the 4 digit numbers using 0 to 9 not leading zero?
Click here to see answer by Edwin McCravy(20054)

Question 191392: I DON'T KNOW WHAT TO DO! HELP ME HERE IS THE QUESTION-
Philip wishes to check out two books out of his school library. If the library contains 800 books, in how many ways might Philip get his choice of books?
PLEASE RESPOND IMMEDIATELY!!!!!!!!!!!IT'S DUE TOMMOROW!!!!!!!!!!!!!!!!!!!!!!!!!
Click here to see answer by Alan3354(69443)

Question 192269: Q: There are 12 points in a plane of which 5 are collinear. The number of triangles is?
I think we have to combine C(5,2) (out of 5 collinear, 2 points can form a side of triangle) with the combination of the rest of the points... but i m not getting any answer out of the four options
a)200
b)211
c)210
d)none of these
Click here to see answer by chowmeineep(4)

Question 192672:
Click here to see answer by Mathtut(3670)

Question 194968: How many different three-digit numbers can be formed from the digits 0-9 if the first digit must be odd and the last digit must be even?
Click here to see answer by RAY100(1637)

Question 195136: How many different groups of 5 objects can be chosen from 9 objects? Please show your work, thank you very much.
Click here to see answer by jim_thompson5910(35256)

Question 195613: This is not from a text book but a question my instructor posed to me. I am not sure how to figure it out. Can someone please help me with it?
Suppose we have a list of zip codes that is only the 5-digit without the extension and there is no replacement or repetition. How many possible zip codes do we have?

Click here to see answer by jim_thompson5910(35256)

Question 195884: 1 ace and 4 other cards (none of which are aces)
Click here to see answer by Alan3354(69443)

Question 196725: Your state issues license plates consisting of letters and numbers. there are 26 letters and the letters may be repeated. There are 10 digits and the digits may be repeated. How many possible license plates can be issued with two letters followed by three numbers?
Click here to see answer by Alan3354(69443)

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