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

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Question 1090699: Teresa mother is 12 years more than twice Teresa's age.In eight years,her age mother's age will be 20 year's less than of her age.Find Teresa's age and her mother.
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Question 1090857: Each apartment in a building is identified by 2 characters, 1 letter and 1 number. These consist of the letters A, B, C, and D and the numbers 1, 2, 3, and 4. How many unique apartments are possible given this identification arrangement?
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Question 1090937: verify
n=n/n-r
r

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Question 1091231: If there are 25 students in the class and we need to select a President and Secretary for our meetings, how many possibilities are there?
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Question 1091231: If there are 25 students in the class and we need to select a President and Secretary for our meetings, how many possibilities are there?
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Question 1091388: in the expansion of (1+x)^n where n is a positive integer, and the binomial coefficients nCr=Cr. proove that C0+C1+C2+......Cn=2^n
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Question 1091481: How many even three-digit numbers can be formed from the
digits: 0, 1, 2, 3, 4, 5, 6 such that 5 is never placed
in the tens position?

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Question 1091481: How many even three-digit numbers can be formed from the
digits: 0, 1, 2, 3, 4, 5, 6 such that 5 is never placed
in the tens position?

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Question 1083062: a book seller has 10 identical books of
maths , 3 identical books of accounting , 5
identical books of statistics. in how many
different ways can he displays his books.
(note that the books in same subjects are
identical , one can not be differ from
others )

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Question 1091876: If n=4 what is the value of 6n-3

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Question 1092066: A student is to answer 8 out of 10 questions in an examination. How many choices have the student
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Question 1092064: In how many ways can 3 americans,4 Frenchmen, 4 danes and 2 italians be seated in a row so that those of the same nationality sit together
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Question 1092067: A class contains 9 boys and 3 girls. In how many ways can a committee of 4 students be formed if the committee must contain at least one girl?
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Question 1092068: A machine is used to paint a white line on a road. The operator estimates that he has painted an area of 300m^2. If the width of the line is 12cm, what length in Meters has he painted?
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Question 1091387: please help me on the following qn:
Obtain the first four terms of the expansion of (1+8x)^0.5 in ascending powers of x by putting x=0.01, obtain the value of (3)^0.5 correct to five decimal places

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Question 1092065: The weights of 5 women are 60kg,62kg,65kg,68kg and 79kg. From which of the following weights is the sum of the squared deviation minimum
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Question 1092065: The weights of 5 women are 60kg,62kg,65kg,68kg and 79kg. From which of the following weights is the sum of the squared deviation minimum
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Question 1092197: A square and a rectangle have the same area. The length of the rectangle is 4/5 the side of the square and it's breadth 5cm shorter than the sides of the square. What is the area of the square
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Question 1092197: A square and a rectangle have the same area. The length of the rectangle is 4/5 the side of the square and it's breadth 5cm shorter than the sides of the square. What is the area of the square
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Question 1092198: A contract for laying 400m of drain pipe requires 24 men working for 20 days. What length of the pipe would be laid by 30 men in 18 days .
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Question 1092198: A contract for laying 400m of drain pipe requires 24 men working for 20 days. What length of the pipe would be laid by 30 men in 18 days .
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Question 1092198: A contract for laying 400m of drain pipe requires 24 men working for 20 days. What length of the pipe would be laid by 30 men in 18 days .
Click here to see answer by ikleyn(52776) About Me 

Question 1092200: A square and a rectangle have the same area. The length of the rectangle is 4/5 the side of the square and it's breadth 5cm shorter than the sides of the square. What is the area of the square 
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Question 1092322: every two persons shakes hand with each other in a party and the total number of hand shakes is 66.the number of guests in party is
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Question 1092320: A summer reading list contains 15 titles. In how many ways can 5 titles be chosen from the list?
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Question 1092321: at an election there are 5 candidates and 3 members are to be elected. a voter is entitled to vote for any number of candidates not greater than the numbers to be elected.the number of ways a voter choose to vote is
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Question 1092441: A committee consists of seven students. Three of the seven will be chosen to head subcommittees on scholarship, intramural sports, and entertainment. In how many ways can the subcommittee heads be selected?
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Question 1092481: In rolling a die once,what is the probability of
A.A perfect square number
B.A prime number

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Question 1092479: In rolling a die once ,what is the probability of the occurence of
A.A prime number
B.An odd number

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Question 1092479: In rolling a die once ,what is the probability of the occurence of
A.A prime number
B.An odd number

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Question 1092478: The angle of depressions of a car on the ground from the top of a building is 72°.If the car is 200 feet away from the building.Find the height of the building?

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Question 1092442: A production of Peter Pan has four parts for boys: Peter, John, Michael, and Captain Hook. If eight boys try out for the parts, how many different casts are possible? (We assume that no of the boys, gets to play more than one part)
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Question 1092590: In a box ,there are 3 red marbles,4green marbles and 5 yellow marbles.what is the probability of drawing three marbles if draw simultaneously
A.they are of the same color?
B.they ate of three different colors?

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Question 1092797: A man drives 80km/h to Selfoss and 60km/h from Selfoss. What is the average speed? The answer is not 70km/h
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Question 1092797: A man drives 80km/h to Selfoss and 60km/h from Selfoss. What is the average speed? The answer is not 70km/h
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Question 1092855: a class has 30 students the class needs to select 3 representative.in how many ways can be done?
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Question 1092947: ARECTANGULAR FIGURE IS 6INCHES WIDE AND 1 FOOT LONG.IF THE WIDTH IS TO BE DECREASED BY 2 INCHES BUT THE AREA REMAINS THE SAME.BY HOW MUCH SHOULD THE LENGTH
BE INCREASED.

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Question 1092976: prove that Cr + Cr+1=Cr+1
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Question 1093145: In how many ways can you line up 5 persons to get up a bus
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Question 1093146: Four different colored flags can be hung in a row to make coded signal. How many signals can be made if a signal consists of the display of one or more flags?
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Question 1093374: I have a problem with Fermat's last theorem of a^n+b^n=c^n, which actually does hold true if n=3 (or any odd number) and a=-b , which would make c=0, which is the same as 0^3
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Question 1093374: I have a problem with Fermat's last theorem of a^n+b^n=c^n, which actually does hold true if n=3 (or any odd number) and a=-b , which would make c=0, which is the same as 0^3
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Question 1093628: These are 11 question in examination paper of maths A candidate has to answer 6 question of under which 1 is compulsory the total no. Of selection of his answering in question is____
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Question 1093545: Thirteen people are going to watch a soccer match in three cars that will hold
3, 5, and 6 passengers respectively. In how many ways is it possible to transport
the thirteen people to the stadium in one trip using all cars?

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Question 1093545: Thirteen people are going to watch a soccer match in three cars that will hold
3, 5, and 6 passengers respectively. In how many ways is it possible to transport
the thirteen people to the stadium in one trip using all cars?

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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