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

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Question 1083039: How many permutation of the letter "SOURCE",and such that vowels are in odd positions? list four arrangement.
Click here to see answer by Edwin McCravy(20054)

Question 1083043: In how many ways a team of 6 candidates can be formed out of a total of 10 candidates such that two particular candidates should be included in each department?
Click here to see answer by jim_thompson5910(35256)

Question 1083063: Board of directors of a company wants to
randomly form a quality management
committee of 5 members to monitor quality
of their products .

The company has 5
scientists , 4 engineers , and 6 accountants .

What is the probability that the committee
will contain 2 scientists , 1 engineer , and 2
accountants ?
Click here to see answer by jim_thompson5910(35256)

Question 1083080: The 3rd and the 4th terms of a geometric progression are 12 and 8 respectively. Find the sum to infinity of the progression.

Click here to see answer by amfagge92(93)

Question 1083080: The 3rd and the 4th terms of a geometric progression are 12 and 8 respectively. Find the sum to infinity of the progression.

Click here to see answer by natolino_2017(77)

Question 1083110: pleas i need your help for the solution of this question.
i am grateful for your kindness.
in how many way can a team of 6 candidates can be formed out out of a total 10 candidates such that 2 particular candidates should be included in each department.
Click here to see answer by natolino_2017(77)

Question 1083012: In how many ways a team of of 6 candidates out of a total of 10 candidates such that two particular candidates should be included in each department
Click here to see answer by jim_thompson5910(35256)

Question 1083150: what is 8P5?
Click here to see answer by jim_thompson5910(35256)

Question 1083149: what is r if 9Pr= 3024

Click here to see answer by jim_thompson5910(35256)

Question 1083149: what is r if 9Pr= 3024

Click here to see answer by MathTherapy(10552)

Question 1083305: How many different ways can you arrange the letters in the word PEPSI?
Click here to see answer by josmiceli(19441)

Question 1083329: In the mathematics department of a college there are 60 first year student, 84 second year students, and 108 third year students .All these students are to be divided into project groups such that each group has the same no of first year student, the same no of second year student, and the same no of third year students. What is the smallest possible size of each group?
a)19 b)9 c)12 d)21
Click here to see answer by Theo(13342)

Question 1083367: In how many ways can six different rings be worn on four fingers of one hand
Click here to see answer by Alan3354(69443)

Question 1083366: In how many permuntation of the letters of the world RIPPLE are there
Click here to see answer by ikleyn(52778)

Question 1083353: A teacher is creating a quiz for her class. Each student�s quiz will contain the same set of questions, but every student�s questions will appear in a different order. If there are thirty students in the class, what is the least number of questions the quiz can contain?
Click here to see answer by ikleyn(52778)

Question 1083500: An access code for a car security system consists of 4 digits. Each digit can be 1,2,3 or 4. How many access codes are possible if each digit can be used only once. (No repeats)
Click here to see answer by ikleyn(52778)

Question 1083597: a computer store receives a shipment of 24 monitors, including 5 defective and 19 good monitors. Three monitors are chosen at random.
How many selections of 3 are possible?
How many selections will contain NO defective monitors out of 3?
Click here to see answer by jim_thompson5910(35256)

Question 1083596: SERIAL NUMBERS FROM A PRODUCT ARE TO BE MADE USING 2 LETTERS FOLLOWED BY 3 NUMBERS IF THE LETTERS ARE TAKEN FROM THE FIRST 6 LETTERS OF THE ALPHABET WITH NO REPEATS AND THE NUMBERS ARE TAKEN FROM 0 TO 9 WITH NO REPEATS HOW MANY SERIAL NUMBERS ARE POSSIBLE
Click here to see answer by math_helper(2461)

Question 1083635: owing definition, compute Q(5).
Q(n) =
0 if n = 0
1 if n = 1
3 if n = 2
Q(n − 1) + Q(n − 2) + Q(n − 3) if n > 2
Q(5) =

Click here to see answer by MathLover1(20849)

Question 1083737: Prove: C(n,0) - C(n,1) + C(n,2) - C(n,3) + ⋯ = 0
Using binomial distribution?? I need clear steps, im really confused :(
Click here to see answer by Edwin McCravy(20054)

Question 1083751: From 5 physicists, 4 chemists and 3 mathematicians a committee of 6 is to be chosen so as to include 3 physicists, 2 chemists and 1 mathematician in how many ways can this be done?
Click here to see answer by josmiceli(19441)

Question 1083797: Using the definition of permutations and combinations, solve for n in the following equation.
n P 3 = 2( n C 4)
Click here to see answer by ikleyn(52778)

Question 1083891: Find the number of combination of 7 shirts of different colors to be wearing for nomal working days?
Click here to see answer by ikleyn(52778)

Question 1083912: The no. Of straight line obtained by joinong 16 points on a plane, no thrice of them being on the same line is
Click here to see answer by ikleyn(52778)

Question 1084265: A lock contains three dials each with 10 digits. How many possible sequences of numbers exist?
Click here to see answer by josmiceli(19441)

Question 1084271: tents hold 2,3,5,6, or 12 people. how many combinations of tents are possible to sleep 22 if all tents are fully occupied and exactly one 12 person tent is used
Click here to see answer by ikleyn(52778)

Question 1084059: In a railway compartment, 6 seats are vacant on a bench. In how many ways can 3 passenger sit on them
???

Click here to see answer by ikleyn(52778)

Question 1084317: A catering service offers 11 appetizers, 5 main courses, and 9 desserts. A banquet chairperson is to select 4 appetizers,4 main courses, and 5 desserts for a banquet. In how many ways can this be done?

Click here to see answer by Boreal(15235)

Question 1084319: You want to read six out of the nine books on your summer reading list . How many diffrent ways can u pick six? Permutation or combination or neither?
Click here to see answer by ikleyn(52778)

Question 1084381: If a(k) = 5+5^2+5^3+5^4+...+5^k , for which of the following values of k will a(k) be divisible by 10?
F) 37 G) 51 H) 75 J) 88 K) 91
Click here to see answer by KMST(5328)

Question 1084389: how many combinations are there for 1-13 with no repeating numbers?
Click here to see answer by ikleyn(52778)

Question 1084377: What is the sum of the first 50 terms of the arithmetic sequence in which the 3rd term is 10 and the 15th term is 22?
Click here to see answer by ikleyn(52778)

Question 1084376: BOX I CONTAINS 5 RED AND 6 BLUE BALLS. BOXII CONTAINS 6 RED AND 4 BLUE BALLS, A BALL IS DRAWN AT RANDOM FROM BOX I AND TRANSFERRED TO BOX II. NOW FROM BOX II A BALL IS DRAWN AT RANDOM. WHAT IS THE PROBABLITY THAT IS RED?
Click here to see answer by jorel1380(3719)

Question 1084375: WHAT IS THE PROBABILITY OF GETTING AT LEAST A SUM OF 9 WHEN TWO DICE THROWN?
Click here to see answer by josmiceli(19441)

Question 1084433: THE PROBABILTY OF MR. X SOLVE THE
PROBLEM IS �, THE PROBABILTY OF MR Y
SOLVING THE PROBLEM IS 3/2, AND THE
PROBABILITY OF MR Z SOLVING THE
PROBLEM
IS 1/6. GIVEN THE PROBLEM TO BOTH OF
THEM, WHAT IS THE PROBABILITY THAT
THE
PROBLEM WILL NOT BE SOLVED?
Click here to see answer by ikleyn(52778)

Question 1084448: prove that p(n,n)= 2p(n,n-2)
Click here to see answer by Edwin McCravy(20054)

Question 1084431: WHAT IS THE PROBABILITY OF GETTING
53 MONDAYS IN A LEAP YEAR?
Click here to see answer by Edwin McCravy(20054)

Question 1084494: Solve for r:
C (10,r) = 120
Click here to see answer by Theo(13342)

Question 1084476: Suppose you have 10 chairs that you want to put around a circular table.
a) If all the chairs are different colours, in how many ways can they be arranged around the table?
This I get. Its just 1x9x8x7x6x5x4x3x2x1 which would be 362880, right?
b) If all the chairs are the same color but are numbered 1 through 10, in how many ways can they be arranged around the table if the chairs that have even numbers must be kept together.
I don't get this at all.
c) If all the chairs are the same colour but are numbered 1 through 10, in how many ways can they be arranged around the table if the chairs numbered 1 and 2 must not be placed next to each other.
I don't get this at all as well.
d) Suppose 4 chairs are red, 2 chairs are blue, 3 chairs are yellow and 1 chair is green. The chairs are identical expect for colour. In how many ways can they be arranged around the table?
Again, don't get this one bit.
Thank you!
Click here to see answer by rothauserc(4718)

Question 1084373: The frequency distribution for how long (in minutes) customers stayed to get service at xyz bank is shown below.
Time customer stayed
before service in xyz bank 1-10, 11-20, 21-30, 31-40, 41-50, 51-60
(in minutes)
Number of customers 11 , 8, 9, 7, 13, 2

Based on given information, find
a. The mean , mode and median minutes that customer stayed in the bank before service
b. The range, mean deviation, variance, standard deviation of the distribution
c. The probability that a customer will stay:
i. From 11 to 20 minutes
ii. No more than 40 minutes
iii. From 21 to 50 minutes
iv. For less than 50 minutes

Click here to see answer by Boreal(15235)

Question 1084607: How many 4 even digits number can be formed with the digits 0,1,2,3,4,6,7.Numbers can only be used one only. Ans 420
Click here to see answer by Edwin McCravy(20054)

Question 1084593: how many ways can 5 students be assigned a seat in a classroom if there are 7 seats in a row
Click here to see answer by Fombitz(32388)

Question 1084728: THREE SECRETARIES, S1, S2, AND S3
DO OFFICE WORK FOR A COMPANY,
MAINLY
FILLING PAPERS, OF ALL THE PAPERS THA
COME INTO THE OFFICE, S1 FILES 50%,
S2 FILES 30% AND S3 FILES THE
REST.EACH SECRETARY OCCASIONALLY
MISFILES A
PAPER S1 MISFILES 5% OF THE PAPERS
SHE FILES, S2 MISFILES 7% OF THE
PAPERS
SHE FILES AND S3 MISFILES 10% OF THE
PAPERS SHE FILES. THE MANAGER HAS
BEEN
LOOKING FOR A PARTICULAR PAPER AND
HAS FOUND THAT IT HAS BEEN MISFILED.
HE
DECIDES TO GIVE WARNING TO THE ONE
WHO MOST LIKELY FILED IT. WHO MOST
LIKELY FILED IT? DRAW A TREE DIAGRAM
Click here to see answer by jorel1380(3719)

Question 1084796: List the 64 possible solutions to a 6 digit combonation of 6 and 7
Click here to see answer by Alan3354(69443)

Question 1085006: How many different ways can a coach select the captain of a team from a group of 20 people
Click here to see answer by addingup(3677)

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