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

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Question 1117734: In how many ways can 30 school teachers be assigned to 6 schools, with each school receiving an equal number of teachers?
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Question 1117810: What is the value of the constant term of
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Question 1117810: What is the value of the constant term of
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Question 1117825: The inhabitants of the island of Jumble use the standard Kobish alphabet ( letters, A through T). Each word in their language is letters or less, and for some reason, they insist that all words contain the letter A at least once. How many words are possible?
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Question 1117842: How many different non-congruent isosceles triangles can be formed by connecting three of the dots in a square array of dots like the one shown below?
. . . .
. . . .
. . . .
. . . .
Two triangles are congruent if they have the same traced outline, possibly up to rotating and flipping. This is equivalent to having the same set of 3 side lengths.
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Question 1117865: A father has 12 different gifts and 4 daughters. How many ways can he give a gift to each
daughter?
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Question 1117865: A father has 12 different gifts and 4 daughters. How many ways can he give a gift to each
daughter?
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Question 1117868: There are two sections in a question paper. In the first section 3 questions have to be attempted out of 4 and in the second section 4 have to be attempted out of 5. In the second section the first two questions are compulsory. How many choices can a student make?
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Question 1117917: How many ways can 6 students arrange themselves around a circular table if two people must
not sit next to each other?
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Question 1117917: How many ways can 6 students arrange themselves around a circular table if two people must
not sit next to each other?
Click here to see answer by ikleyn(52778)

Question 1117919: A license plate consists of 3 letters followed by 3 digits. What is the total number of possible license
plates if a letter or digit can be used twice?
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Question 1117931: There are 20 different pairs of shoes - 8 black pairs, 6 red pairs, 3 white pairs, 2 yellow pairs, and 1 brown pair . How many selections of 3 pairs of shoes are possible if at least 1 pair of shoes is black?
Click here to see answer by ikleyn(52778)

Question 1117956: Ten sets of twins (20 people) are applying for 3 committee positions. If no sets of twins are
allowed on a committee, how many ways can the committee be chosen?
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Question 1117672: Five balls are randomly drawn without replacement from a bag containing 4 red balls and 6 black balls. What is the probability that at least 3 red balls will be drawn?
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Question 1117962: In how many ways can a teacher choose one or more students from 6 eligible students?
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Question 1117920: A person has 3 loonies and bets $1.00 on the flip of a coin. If a coin is flipped 4 times, how many ways can he end up with 5 loonies?
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Question 1117996: Assume there are 5 braille dots (raised and flat) on a given surface. How many letters are possible if at least 1 dot is raised?
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Question 1117621: A hand of 5 cards is dealt from a standard deck
How many hands with 2 king and 3 clubs are possible?
Click here to see answer by josmiceli(19441)

Question 1117621: A hand of 5 cards is dealt from a standard deck
How many hands with 2 king and 3 clubs are possible?
Click here to see answer by greenestamps(13198)

Question 1118297: find n if p(n,4)=12p(n,2)
Click here to see answer by math_helper(2461)

Question 1118314: Leslie has 7 books. There is enough space on a shelf for 3 books. In how many ways can 3 of the 7 books be arranged on the shelf?
Out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams.
Click here to see answer by rothauserc(4718)

Question 1118366: 5 freshmen, 5 sophomores, 5 juniors, and 5 seniors are eligible to be on a committee.
In how many ways can a dance committee of 14 students be chosen if it is to consist of exactly 2 juniors and exactly 4 seniors, and the rest must be freshman or sophomores
Click here to see answer by greenestamps(13198)

Question 1118367: A bag contains 10 red marbles, 8 white marbles, and 6 blue marbles. You draw 3 marbles out at random, without replacement.
Click here to see answer by ikleyn(52778)

Question 1118402: In playing a card game, I am dealt 6 cards, how many possibilities are there for my hand?
Click here to see answer by Edwin McCravy(20054)

Question 1118401: If you are allowed to use numbers 1 � 20 and need to choose the passcode of an exact 4 digit code, how many possibilities are there?
Click here to see answer by Edwin McCravy(20054)

Question 1118403: Raw data is found in the excel file titled �STA322 Week 3 Data � Tab Line of Best Fit.� Calculate the linear correlation coefficient of that data and describe what that information provides. Find the slope and y intercept and list the line of best fit. Take Microsoft Excel and graph this line of best fit, using the �trend� function. Determine how you will implement the results you received to improve the data, base it on a scenario for your career.
Click here to see answer by solver91311(24713)

Question 1118620: Dear Sir I am jayson Can you explain me the difference between LCM and HCF and difference between Multiple and Factor?
Click here to see answer by ikleyn(52778)

Question 1118620: Dear Sir I am jayson Can you explain me the difference between LCM and HCF and difference between Multiple and Factor?
Click here to see answer by josgarithmetic(39617)

Question 1118620: Dear Sir I am jayson Can you explain me the difference between LCM and HCF and difference between Multiple and Factor?
Click here to see answer by greenestamps(13198)

Question 1119066: The serial numbers on $5 bills include three letters followed by seven digits. Assuming the digits are assigned at random, what is the probability that a serial number will contain,
(a)exactly two 5s
(b) at least four 5's
(c) all 5s?
Click here to see answer by Boreal(15235)

Question 1119077: Of 10 girls in a class, three have blue eyes. Two of the girls are chosen at random. Find the probability that exactly one has blue eyes.
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Question 1119076: Of 10 girls in a class, three have blue eyes. Two of the girls are chosen at random. Find the probability that exactly one has blue eyes.
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Question 1119079: Three bolts and three nuts are in a box. Two parts are chosen at random. Find the probability that one is a bolt and one is a nut.
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Question 1119078: Ten students, A, B,..., are in a class. A committee of three is chosen at random to represent the class. Find the
probability that:
(a) A belongs to the committee;
(b) B belongs to the committee;
(c) A and B belong to the committee;
(d) A or B belong to the committee;
Click here to see answer by ikleyn(52778)

Question 1119153: 2. What would be the probability that randomly choosing four states from the top 7 murder states would actually be the top 4 states for murders in the United States in exact correct decreasing order?
(1. CA, 2. TX, 3. PA, 4. NY) Simplify all fraction answers.

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Question 1119144:
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Question 1119363: find the value of n in the following; nP4=30nP2
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Question 1119364: in how many ways can one invite one or more of five friends to her a party?
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Question 1119364: in how many ways can one invite one or more of five friends to her a party?
Click here to see answer by Alan3354(69443)

Question 1119387: In how many ways can one invite one or more of her seven friends to a party?
Click here to see answer by Edwin McCravy(20054)

Question 1119391: in how many permutations can be made from the word "masses"which ends with ss
Click here to see answer by greenestamps(13198)

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