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

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Question 462899: Find the number of way of arranging all the letters of the word TENNESSEE:
a) the FIRST two letters must be EE
b) the FIRST can NOT be EE

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

Question 462927: Using Excel:
determine the number of ways you can select 2 girls and 2 boys from a group of 4 girls and 6 boys.

Click here to see answer by stanbon(75887) About Me 

Question 463108: suppose that there are four jobs to be allocated among seven workers. if only one worker is to be assigned to each job, and any of the workers is able to do any of the jobs, how many different possible allocations can be made?
my confusion is either to solve for permutation or combination.

Click here to see answer by amoresroy(361) About Me 

Question 463298: A password consists of 4 letters followed by a 3 digit number: how many passwords are available if there are no restrictions and how many passwords are available if none of the letters or digits can be repeated?
Click here to see answer by edjones(8007) About Me 

Question 463633: A committee of 4 has to be formed out of a group of 17 students. How many such committees are possible?
Click here to see answer by aliateach(10) About Me 

Question 463637: Two scholarships (of EQUAL value) have to be given to 2 applicants out of a group of 23 applicants. How many possible ways can you select these 2 awardees?
Click here to see answer by edjones(8007) About Me 

Question 463896: How many different ways can a city health inspector visit 5 restaurants in a city with 10 restaurants?
Click here to see answer by stanbon(75887) About Me 

Question 463899: If a person can select 3 presents from 10 presents under a christmas tree, how many different combinations are there?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 463900: How many ways can a jury of 6 women and 6 men be selected from 10 women and 12 men?
Click here to see answer by stanbon(75887) About Me 
Question 463900: How many ways can a jury of 6 women and 6 men be selected from 10 women and 12 men?
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 463893: The call letters of a radio station must have four letters. The first letter must be a K or a W. How many different station call letters can be made if repetitions are not allowed? If repetitions are allowed?
Click here to see answer by edjones(8007) About Me 

Question 463979: how many bit strings of seven lowercase letters start with a vowel, if letters cannot be repeated
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Question 463977: each user on a computer system has a password which can be 5 to 7 characters long, where each character is a lower case letter, an uppercase letter or a digit. Each password must contain at lease one digit. How many distinct passwords are possible
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Question 463974: how many committees of 6 person can be chosen from a group of 8 men and 9 women when it contains more men than women
Click here to see answer by edjones(8007) About Me 

Question 463897: The foreign language club is showing a 4 movie marathon of subtitled movies. How many ways can they choose 4 from the 11 available?
Click here to see answer by edjones(8007) About Me 

Question 464107: 7 young girls are to be seated in a row. Calculate the number of different ways in which this can be done if 2 particular girls, Ushna and Manood, have exactly 3 of the other girls between them.
*Note: I know that the answer is this: (5C3) x (3!) x (3!) x (2!), but I can't understand how I get that. Please please explain this question in as much detail as possible as I cannot understand this topic. Please answer as soon as possible :) =) 卐

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 464288: 12 yes or no questions. how many ways can these be answered
Click here to see answer by oberobic(2304) About Me 

Question 464855: How many permutations are there if the letters PNRCSE are taken six at a time?
Click here to see answer by stanbon(75887) About Me 
Question 464855: How many permutations are there if the letters PNRCSE are taken six at a time?
Click here to see answer by Alan3354(69443) About Me 

Question 464860: 6 people queue up to get on the bus. Is 2 specific person refuse to follow each other, how many ways are possible?
Click here to see answer by stanbon(75887) About Me 
Question 464860: 6 people queue up to get on the bus. Is 2 specific person refuse to follow each other, how many ways are possible?
Click here to see answer by AlvinWong(1) About Me 

Question 465058: how many ways can a group of 7 choose a committee of 4?
Click here to see answer by stanbon(75887) About Me 
Question 465058: how many ways can a group of 7 choose a committee of 4?
Click here to see answer by jorel1380(3719) About Me 

Question 465099: How many ways can an IRS auditor select 5 of 10 tax returns for an audit?

Click here to see answer by stanbon(75887) About Me 

Question 465100: In a batch of 8,000 clock radios 4% are defective. A sample of 6 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

Click here to see answer by stanbon(75887) About Me 
Question 465100: In a batch of 8,000 clock radios 4% are defective. A sample of 6 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

Click here to see answer by edjones(8007) About Me 

Question 465104: Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
The following table contains data from a study of two airlines which fly to Small Town, USA.
# on time # late
Poduck airlines 33 6
Upstate Airlines 43 5

If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight

Click here to see answer by edjones(8007) About Me 

Question 465776: 1. How many garlands can be made from 6 marigolds and 2 roses?
2. How many ways can a necklace be formed from 2 red and 2 blue beads?

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Question 465954: find the number of "words" with four distinct letters that can be made from the letters c, a, b, i, n, e, t.
A) 920
b) 840
c) 860
d) 560
and show me how to do?
Thank you very much.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 466309: In how many ways can a group of 12 choose a committee of 9?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 466337: 8. A comittee of 10 women and 9 men is looking to create a 6 person committee.
a. how many ways are there of choosing this committee?
19*18*17*16*15*14=19535040
b. How many ways are there of chosing 4 men and 2 women?
(i'm confused)
c. Whats the probability that it's selected with 4 men and 2 women?
(I havent a clue)
d. What is the probility that it's selected with 5 women and 1 man?
( i do not know)
Please help! Thanks.

Click here to see answer by richard1234(7193) About Me 
Question 466337: 8. A comittee of 10 women and 9 men is looking to create a 6 person committee.
a. how many ways are there of choosing this committee?
19*18*17*16*15*14=19535040
b. How many ways are there of chosing 4 men and 2 women?
(i'm confused)
c. Whats the probability that it's selected with 4 men and 2 women?
(I havent a clue)
d. What is the probility that it's selected with 5 women and 1 man?
( i do not know)
Please help! Thanks.

Click here to see answer by stanbon(75887) About Me 

Question 466323: how many combinations of numbers can be made from the digits 8824462? thank you.
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 466653: a teacher sets 5 objective type questions out of which 4 have to be answered. find out the total number of ways in which they can be answered if first 2 questions have 4 choices and last 3 have 3 choices.
Click here to see answer by rfer(16322) About Me 

Question 466748: Out of 8 persons in a group find tha number of ways of selecting 3 persons and also tha number of way of arranging these 3 selected persons in a row
Click here to see answer by kmc0204(4) About Me 

Question 467195: a group of 3 men and ladies is to be selected from a group of 5 men and 6 ladies. What is the probability that a particular man will not be in the group and a particular lady will be in the group
Click here to see answer by stanbon(75887) About Me 

Question 467463: 4. In a group of 12 students, 5 are female, four are taking four classes, and three are females taking four classes. If one student is selected at random, find the probability that the student is female or taking four classes
Click here to see answer by jorel1380(3719) About Me 

Question 467672: a textbook search committee is considering 12 books for adoption.the committee has decided to select 4 of the 12 for further consideration.in how many ways can it do so?
Click here to see answer by stanbon(75887) About Me 

Question 467690: how many ways can you arrange A-F with a consonant at one end, and a vowel at the other?
we answered other similiar problems using factorials

Click here to see answer by ccs2011(207) About Me 

Question 468190: Each Thursday, Alan takes a break from studies and eats dinner with his grandparents. On one occasion, his choice for dessert is peppermint or vanilla ice cream with chocolate, strawberry, caramel, or pineapple topping.
(a) How many ways can Alan choose one flavor of ice cream and one topping?
1 ways
(b) How many ways can Alan choose one flavor of ice cream and two toppings?

Click here to see answer by edjones(8007) About Me 

Question 468604: assume that a password to log onto a computer account is to consist of any 4 digits or letters (repetition is permitted). Determine the number of passwords possible if the letters are not case sensitive.
Click here to see answer by jorel1380(3719) About Me 

Question 468943: find the average of the following sets of intergers.
1. -71,49,-232,58,-64
2. 778,-229,12,-78

Click here to see answer by Alan3354(69443) About Me 

Question 469440: how many ways we can arrange 10 seats and 10 students?












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Question 470190: 63c7= c=63!/(63-7)!63!
Combination Formula nCr=n!/(n-r)!r!

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 470319: In how many ways can 12 athletes be awarded a first-place medal, a second place medal, and a third-place medal?a. 56
b. 336
c. 21
d. 3


In how many different ways can a student choose 3 out of 8 problems to complete on a take-home exam?a. 33
b. 1320
c. 220
d. 1728

If event A is certain to occur, what is P(A)?
a. 0.25
b. 0.5
c. 0
d. 1

Click here to see answer by ewatrrr(24785) 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