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

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Question 980630: A committee of seven members is to be formed from a group of 11 members. The probability that a certain married couple will either serve together or not at all is.
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Question 980718: +~+~+=30,, HOW (1,3,5,7,9,11,13,15)
Click here to see answer by Fombitz(32388) About Me 

Question 980743: solve the following question:
n!/(n-2)!=72

Click here to see answer by MathLover1(20849) About Me 

Question 979795: how many distinguishable permutations in the words: BROCCOLI/DEDICATION/DEEPNESS
Click here to see answer by Edwin McCravy(20054) About Me 

Question 981233: What are the 3 odd numbers from 1 to 15 that sum up to 30? it can be a repeated number
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Question 981151: Sir iska corect ans bataay ye ips ka queation hai.[ ]+[ ]+[ ]=30,,,,,1,3,5,7,9,11,13,15
Click here to see answer by Fombitz(32388) About Me 

Question 981351: A class has 21 students. Eight of the students are boys and thirteen are girls.
Five students are asked to come to the board.
In how many ways can the five students be selected to come to the board, where
the order of the students does not matter, but at least two of the students are
girls?

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

Question 981950: Ans this.. ◻➕◻➕◻=30 Fill theboxes using (1, 3, 5, 7,...
Click here to see answer by Alan3354(69443) About Me 

Question 981944: Ans this.. ◻➕◻➕◻=30 Fill theboxes using (1, 3, 5, 7,...
Click here to see answer by Edwin McCravy(20054) About Me 
Question 981944: Ans this.. ◻➕◻➕◻=30 Fill theboxes using (1, 3, 5, 7,...
Click here to see answer by Alan3354(69443) About Me 

Question 981949: How many different sets of 4 students can be chosen out of 17 qualified students to represent a school in a mathematics contest?
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Question 982315: A single die is rolled twice. Find the probability of rolling a 5 the first time and a 2 the second time
Click here to see answer by mananth(16946) About Me 

Question 982504: What is the chargee that a leap year select at random will contain
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Question 982498: There are 7 teachers including William. How many committees of 4 teachers can be made with William as Chairman ?
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Question 982590: Customer Account numbers consist of 3 letters followed by 3 numbers. How many accounts are possible if repetition is allowed?
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Question 982806: From the digits 9,8,6,5,4,1 how many 3 digit even numbers can be formed, without repetition of digits?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 983069: -+-+-=30 using numbers 1, 3, 5, 7, 9, 11, 13, 15 u can repeat the numbers

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

Question 983589: Please help me solve this question:In how many ways can a delegation of 3 be chosen from 5 men and 3 women,if at least 1 man and 1 woman must be included?
Click here to see answer by reviewermath(1029) About Me 

Question 983585: Please help me solve this question:A student must answer 8 out of 10 questions.How many choices does he have if the first 3 questions have to be answered?
Click here to see answer by reviewermath(1029) About Me 

Question 983812: Pls help me work out this problem
Using the digits 1,2,3 and 5, how many 4 digit numbers can be formed if
a) the first digit must be 1 and repetition of the digits is allowed?
b) the first digit must be 1 and repetition of the digits is not allowed?
c) the number must be divisible by 2 and repetion is allowed?
d) the number must be divisible by 2 and repetition is not allowed?

Click here to see answer by macston(5194) About Me 

Question 983979: In how many distinct ways can the letters of the word ROBBER be arranged?
Click here to see answer by Timnewman(323) About Me 

Question 983994: A teacher has 18 boys and 11 girls in her class. In how many ways can she select 8 of the children to be in a play if she must select 4 boys and 4 girls.
Click here to see answer by Timnewman(323) About Me 

Question 984076: Find a formula of the number of permutations of the set {1,2,3,,,,n} where none of the numbers are in their natural position if you could help me again please
Click here to see answer by Edwin McCravy(20054) About Me 

Question 984075: Find a formula of the number of permutations of the set {1,2,3,,,,n} where exactly k numbers are in their natural position if you could help me please

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

Question 984110: A multiple choice test consists of six questions, each of which has five choices. Each question has exactly one correct answer.
William guesses randomly at each answer. What is the probability that he gets four or fewer questions correct? (Round your answer to four decimal places.)

Click here to see answer by reviewermath(1029) About Me 

Question 984114: An urn contains six red balls, five white balls, and four black balls. Three balls are drawn from the urn at random without replacement. For each red ball drawn, you win $8, and for each black ball drawn, you lose $12. Let X represent your net winnings.
Compute E(X), your expected net winnings.
E(X) =

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Question 984108: In a suitable font, the letters A, H, I, M, O, T, U, V, W, X, Y are all mirror images of themselves. A string made from these letters will be a mirror image of itself if it reads the same backward as forward: for example, MOM, YUMMUY, MOTHTOM. If a four-letter string in these letters is chosen at random, what is the probability that this string is a mirror image of itself? (Round your answer to four decimal places.)

Click here to see answer by solver91311(24713) About Me 

Question 984134: How many different four-letter strings can be formed from the letters A, B, C, D, E (repeats allowed) if the first letter must be a consonant and the last letter must be a vowel?
Click here to see answer by reviewermath(1029) About Me 

Question 984191: A committee has 25 members;15 whom are women and 10 men.
-How many ways can a subcommittee of 8 be chosen to work on a project if
*anyone of the committee be chosen?
*at most 2 women can be chosen?
*at least 2 woman must be chosen?

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

Question 984205: Possible grades for a class are A, B, C, D, and F. (No +/− 's.)
How many ways are there to assign grades to a class of eight students?

Click here to see answer by macston(5194) About Me 

Question 984212: An urn containing n balls can be represented by the set
U = {b1, b2, ... , bn}.
Interpret the following algorithm in the context of urn problems. Does it represent drawing with or without replacement? How many lines does it print?
for
i(sigma symbol) {1, 2, ... , n}
do
for
j(sigma symbol) {1, 2, ... , n}
do
for
k (sigma symbol) {1, 2, ... , n}
do
print
bi, bj, bk
The algorithm prints out all the possible ways to draw_______ balls in sequence, _______________ replacement. **Second blank answer choices are (with) or (without). Please indicate which. It prints __________ lines.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 984247: You have a 12 sided die what is the probability of rolling a die with a sum greater than 22 ?

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

Question 984213: Give a postcondition for the following algorithm that completely describes how the final value of i is related to x.
Precondition: x is a positive odd integer.
i ← 0
while
i < x
do
i ← i + 2
i =

Click here to see answer by solver91311(24713) About Me 

Question 984244: You volunteer to drive children at a charity event to the zoo but only 6 out of the 19 children can fit in your van. How many combinations of 6 from the 19 can you take?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 984204: How many solutions (using only non-negative integers) are there to the following equation?
x1 + x2 + x3 + x4 + x5 = 33

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

Question 984276: In a class, 3/5 of the children are going to a special event. If there are 30 children in the class, how many are going?
Click here to see answer by Cromlix(4381) About Me 

Question 984265: How many numbers are there between 100 and 1000 such that 5 is the unit place

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Question 984133: License plates in China begin with a Chinese character designating the province, followed by a letter from the set {A, ..., Z}, followed by a five-character alphanumeric string (using symbols from the set {A, ..., Z, 0, 1, ..., 9}). What is the maximum number of plates of this type for a given Chinese province?
Click here to see answer by Fombitz(32388) About Me 

Question 984389: A multiple choice test consists of five questions, each of which has four choices. Each question has exactly one correct answer.
William guesses randomly at each answer. What is the probability that he gets three or fewer questions correct? (Round your answer to four decimal places.)

Click here to see answer by solver91311(24713) About Me 

Question 984391: The legislature of Puerto Rico consists of a 27-member Senate and a 51-member House of Representatives.
How many ways are there to choose a group of six members from the Puerto Rican legislature?

Click here to see answer by mathmate(429) About Me 

Question 984386: An urn contains nine red balls, nine white balls, and nine blue balls, and sample of four balls is drawn at random without replacement.
Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.)

Click here to see answer by Boreal(15235) About Me 

Question 984434: An urn contains nine red balls, nine white balls, and nine blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.)
Click here to see answer by Fombitz(32388) About Me 

Question 984679: Define a set x of numbers as follows
B. 2 E X
R1.If x E X, so is 10x
R2. If x E X, so is x+4.
List all the elements of x that are less than 30. (Enter your answers as a comma-separated list.)

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Question 984676: Define a set X of numbers as follows.
B. 2 is in X.
R1. If x is in X, so is 10x.
R2. If x is in X, so is x + 4.
List all the elements of X that are less than 30. (Enter your answers as a comma-separated list.)

Click here to see answer by solver91311(24713) 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