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

Tutors Answer Your Questions about Permutations (FREE)

Question 317389: how many words permutation can you made in the word computer?
Click here to see answer by nyc_function(2741)

Question 318084: b. You are dealt 2 cards from a shuffled deck of 52 cards, without replacement. What is the probability that the first card is a King and the second card is a King
Click here to see answer by Alan3354(69443)

Question 318163: In how many ways can four men and four women be seated in a row of eight seats if the first and last seats are to be occupied by women?
Click here to see answer by edjones(8007)

Question 318349: In multi-stage experiments, a coin is tossed and then a 6-face die is rolled once, what is the probability to get the Head and upward face 1?
Click here to see answer by solver91311(24713)

Question 319366: In the combination formula C(n,r) = n!/r!(n-r)! what is the C?

Click here to see answer by nyc_function(2741)

Question 319370: How many ways can 10 people fit on a 4-person park bench (seating order is not important)?
Click here to see answer by nyc_function(2741)

Question 319371: What is the probability of getting between 3 and 6 heads in 10 tosses of a fair coin?
Click here to see answer by stanbon(75887)

Question 319371: What is the probability of getting between 3 and 6 heads in 10 tosses of a fair coin?
Click here to see answer by solver91311(24713)

Question 320497: A club can select a president and a vice president from members in their club in 72 ways. How many members are in the club?
Click here to see answer by Edwin McCravy(20054)

Question 320496: A child forms three-letter words using three different letters from HISTORY. A three letter word is any arrangement of three letters, whether in dictionary or not.
There are three segments of the answer that I cannot find the answer to. I need to know how many three-letter words beginning with H are possible, how many begin with a vowel and how many have a vowel as the middle letter.
My answers are:
beginning with an H= 1*6*6=36
beginning with a vowel= 3*7*7=147
with a vowel as the middle letter= 7*3*7=147
The back of the book gives the answers 30, 60, and 60. What am I doing wrong?
Click here to see answer by scott8148(6628)

Question 320744: 3 out of 5 students in a class of 35 how many students volunteered?
Click here to see answer by rfer(16322)

Question 321032: if 16 dogs are entered into a dog show, in how many ways could you award first, second, and third place prize?
This is what i thought but not sure?..16P3 16!/16-3!=16!/13!=3360 is this right?
Click here to see answer by Alan3354(69443)

Question 321026: how many different license plates could be made if the first two places on the license plate are letters that cannot be repeated and the last three places are numbers which can be repeated?
Click here to see answer by Fombitz(32388)

Question 321208: please help!
the number of ways you can award five identical t-shirts to the first five finishers in a race where 50 people ran in the race
Click here to see answer by rfer(16322)

Question 321348: how many 6 digit numbers we have in all?
Click here to see answer by ankor@dixie-net.com(22740)

Question 321854: A reality tv show takes 18 people and randomly splits them into teams of 9.
A) how many different combinations are possible for the first team?
B) How many different combination are possible for the second team?
Click here to see answer by stanbon(75887)

Question 321834: In how many ways can Joe select 1 or more of 6 friends to a dinner party?
Click here to see answer by solver91311(24713)

Question 322459: 5. Given p is true, q is false, and r is false, find the truth value of the statement (q V r) ↔ ~p.
Show step by step work.

Click here to see answer by Edwin McCravy(20054)

Question 322451: Construct a truth table for (~p V ~q)→p
Click here to see answer by Fombitz(32388)

Question 322917: A phone number has 7 digits in it from 0 to 9. In how many ways can you arrange the 7 digits in your phone number?
Click here to see answer by Alan3354(69443)

Question 323442: Which should be used a permutation or combination?
Determine the number of different ways in which a committee of four can be chosen from a group of twelve members?
Click here to see answer by checkley77(12844)

Question 323544: please help me calculate the following factorials:
1. 6!
2. 15!
3. 2!
4. 140!
Click here to see answer by jim_thompson5910(35256)

Question 323549: How many different ways can 9 letters be grouped without being repeated?
Click here to see answer by stanbon(75887)

Question 323538: please help me solve this expression: 140!
Click here to see answer by Fombitz(32388)

Question 324225:
Evaluate the combinatorical expression 7P3

Click here to see answer by checkley77(12844)

Question 324308: In how many ways can 4 boys be assigned to 3 different rooms such that no room is empty?

Click here to see answer by Fombitz(32388)

Question 325078: If 1.5 chickens lay 1.5 eggs in 1.5 days, how many eggs do 9 chickens lay in 15 days?
Click here to see answer by rfer(16322)

Question 325078: If 1.5 chickens lay 1.5 eggs in 1.5 days, how many eggs do 9 chickens lay in 15 days?
Click here to see answer by Alan3354(69443)

Question 325475: How many different sandwiches can you make if you can choose exactly four items out of six?
Click here to see answer by Alan3354(69443)

Question 326356: Five students and three teachers are to be seated in a row at the front of a school assembly. In how many different ways can this be done if there must be a teacher at each end of the row?
Click here to see answer by nyc_function(2741)

Question 326460: I would like to see the mechanics of how to figure out the formula for this so I can do this myself. I have been checking out Permutations at various websites, my efforts have not been fruitful, but I have tried.
You have a deck of 40 cards of different colors. The deck contains 3 red cards and 3 blue cards. The other 34 cards are not red or blue. The deck is randomly shuffled.
1) What is the probability of drawing at least 1 red and 1 blue card in the first 6 cards drawn from the top of the deck?
2) What is the probability of drawing at least 1 red and 1 blue card in the first 10 cards drawn from the top of the deck?
Thank you. Ken

Click here to see answer by solver91311(24713)

Question 326554: I have 8 red marbles, 4 blue marbles , 4 green marbles. HOw many times will I have to draw a marble out to BE SURE TO get one of each color?
Click here to see answer by jim_thompson5910(35256)

Question 326614: How many different sandwiches can you make if you can choose exactly four items out of six?
Click here to see answer by rfer(16322)

Question 326476: Hi,
I'm really stuck on the math word problem on #3, #4. Can someone help me out on both of these problems on Algebra?
Thanks,
Law1736
Here is the sample question:
3. When getting into shape by exercising, the subject's maximum recommended number of heartbeats per minute (h) can be determined by subtracting the subject's age (a) from 220 and then taking 75% of that value. This relation is expressed by which of the following formulas?
4. An airplane flew for 8 hours at an airspeed of x miles per hour (mph), and for 7 more hours at 325 mph. If the average airspeed for the entire flight was 350 mph, which of the following equations could be used to find x?
Click here to see answer by rfer(16322)

Question 326807: How many different arrangements of the letters in the word ASSISTANT can be formed?
Click here to see answer by galactus(183)

Question 320691: To build a sandwich at a particular restaurant, customers may choose 1 of 3 types of bread, 1 of 4 different types of meat, and 2 of 5 different types of condiments. How many different sandwiches can be created at this restaurant? (Assume that the two accessories chosen must be different.)

Click here to see answer by illb1011(1)

Question 327022: Hi I've been messing with this problem for so long now and I'm still not sure how to start with: There is a true-false quiz with 10 questions. How many possible answer keys are there if the answer to 6 questions are false and the other 9 questions are true?
In contrast, would I solve this question the same way: There is a multiple-choice test with 10 questions. 2 of the answers are A, 3 are B, 2 are C and 3 are D. How many possible answer keys are there? Thanks for the help!
Click here to see answer by Edwin McCravy(20054)

Question 327147: A club has 20 members. In how many different ways could they elect a president, a vice president and a three person newsletter committee?
Click here to see answer by solver91311(24713)

Question 328032: Eight first-graders, 4 boys and 4 girls, are playing on the playground. In how many ways can they arrange themselves in a line of 5 consisting of 3 boys and 2 girls?

Click here to see answer by nyc_function(2741)

Question 328616: Compute 7P4
Click here to see answer by Edwin McCravy(20054)

Question 328615: Compute 3C1
Click here to see answer by Edwin McCravy(20054)

Question 328611: If a state wants each of its license plates to contain any 7 digits, how many different license plates are possible?
Click here to see answer by Edwin McCravy(20054)

Question 329066: Out of 15 boys and 9 girls, how many different committees can be formed each consisting of 6 boys and 4 girls?
Click here to see answer by galactus(183)

Question 329063: 7. A man leaves office daily at 7pm.a driver with car comes from his home to pick him from office and bring back home. One day he gets free at 5.30 and instead of waiting for driver he starts walking towards home. In the wayhe meets the car and returns home on car. He reaches home 20 minutes earlier than usual. In how much time does the man reach home usually?
(A) 1 hr 20 min (B) 1 hr (C) 1 hr 10 min (D) 55 min
Click here to see answer by galactus(183)

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