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

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Question 1159637: The function f is given by f(x)=x^3+2x^2+ax-8,where a is constant.when f(x) is divided by (x-2) the remainde is-6.
Solve the equation f(x)=0,giving your answer to 2 decimal place where necessary.

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Question 1159634: Solve the equation 4^x=7.give your answer to 3 significant figure.
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Question 1159619: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 6 of the 14 children present in your van. How many different groups of 6 children can you​ drive?
How many different groups of 6 children can you​ drive?

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Question 1159623: How many arrangements of the word ACTIVE are there if the C and E
a) must always be together?
b)must never be together?

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Question 1159773: In a group of 16 students there are 10 girls and 6 boys. determine the number of ways that a committee of 5 students which has exactly 2 girls can be chosen from the group?
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Question 1159772: A teacher makes a multiple choice quiz with 12 questions. 3 answers are A, 3 answers are B, 2 answers are C and 4 answers are D. How many possible answer keys are there?
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Question 1159774:
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Question 1159774:
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Question 1159785: The line=2x+c is a tangent to the curve y=2x^2-6+20.find the value of c
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Question 1159785: The line=2x+c is a tangent to the curve y=2x^2-6+20.find the value of c
Click here to see answer by MathLover1(20849) About Me 
Question 1159785: The line=2x+c is a tangent to the curve y=2x^2-6+20.find the value of c
Click here to see answer by ikleyn(52776) About Me 

Question 1159798: Tarot cards are used for telling fortunes, and in a reading, the arrangement of the cards is as important as the cards themselves. How many different readings are possible if two cards are selected from a set of eight Tarot cards?
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Question 1159797: Classify the problem as a permutations or combinations, In how many ways can a chairperson and a vice-chairperson be selected from a committee of 15 senators?
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Question 1159815: ten people are going on a skin diving trip in 3 cars that will hold 2, 4 and 5 passengers , respectively . how many ways is it possible to transport the 10 people to the skin lodge
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Question 1159815: ten people are going on a skin diving trip in 3 cars that will hold 2, 4 and 5 passengers , respectively . how many ways is it possible to transport the 10 people to the skin lodge
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Question 1159908: Sovle,giving all the solution between oº and 360º.find 2tan^2x+9 sec x-3=0
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Question 1159911: The point A,B,C and D have position vectors(1),(2),(0) (d)
(-2),(0),(c)and(2)respectively,
(4),(-1),(1) (1)
Relative to the origin O.calculate angle AOB,giving your answer to the nearest degree

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Question 1159910: The point A,B,C and D have position vectors(1),(2),(0) (d)
(-2),(0),(c)and(2)respectively,
(4),(-1),(1) (1)
Relative to the origin O.find |OA| and |OB|

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Question 1159900: In a state lottery 25 balls numbered from 1 to 25 and placed in machine. 6 numbers randomly drawn. And here is the chart what can win a player by buying single lottery ticket:
6 number match $10,000
5 number match $ 5,000
4 number match $ 1000
3 number match $ 5,00
2 number match $ 50
1 number match $ 10
What is probability that player will win $10,000?

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Question 1159930: The organizer of a conference is selecting workshops to include. She will select from 7 workshops about genetics and 6 workshops about ethics. In how many ways can she select 5 workshops if 3 or more must be about genetics?
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Question 1160023: There are 10 pairs of basketball shoes, 12 pairs of leather shoes, if you pick one shoe each time, how many picks do you need to guarantee that you get one pair of the same shoes.
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Question 1160018: If three people roll a dice once, how many ways can the sum of the three people’s rolls add up to exactly 9?
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Question 1160018: If three people roll a dice once, how many ways can the sum of the three people’s rolls add up to exactly 9?
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Question 1160018: If three people roll a dice once, how many ways can the sum of the three people’s rolls add up to exactly 9?
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Question 1160038: Jessica and Ramon each have the same length of ribbon. Jessica cut her ribbon into eighths. Ramon cut his ribbon into twelfths. Jessica sold 6 pieces and Ramon sold 8. Who sold the most ribbon? How did you find out? Please help! Thank you!
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Question 1160042: Describe 3 ways to compare improper fractions and mixed numbers. Use examples to explain. Which way do you prefer? Why? Please help! Thank You!
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Question 1160025: If the greatest common divisor of two integers is 1, then we say those two integers are relatively prime to each other, how many even integers which are between 1 and 1000 (including 1 and 1000) and relatively prime to 105?
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Question 1160112: Tuan sold 2/3 of his raffle tickets on Saturday and 2/9 on Sunday. Did Tuan sell more tickets on Sunday or Saturday? Explain using words or drawings. Please help! Thank You!
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Question 1160020: There are two rows of seats in the classroom and each row has six seats. If a class has nine students, and among them three female students G1, G2 and G3 always sit in the first row, two male students B1, B2 always sit in the second row. In how many different ways can all the nine students sit in the classroom?
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Question 1160121: Write as many different subtraction questions as you can where the answer is 3/4. Please help! Thank You!
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Question 1160118: Terri biked 2 1/4 h on Sunday. Terri increased the time she biked 1/4 h every day. Sam biked 1/2 h on Sunday. Sam increased the time he biked 1/2 h every day. Question 1: Who will bike longer the next Saturday? Explain.
Question 2: For how much longer will this person bike?
Question 3: What did you need to know about fractions to answer these questions?
Please help! Thank You!

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Question 1160067: A particles travel in a straight line so that,t seconds after leaving a fixed point,its velocity,velocity m/s,is given by v=35e^-2t.find an expression for the acceleration of the particles at time t
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Question 1160067: A particles travel in a straight line so that,t seconds after leaving a fixed point,its velocity,velocity m/s,is given by v=35e^-2t.find an expression for the acceleration of the particles at time t
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Question 1160133: Find the number of ways of permitting the letters of the word HELL, such that:
a) The 2l’s will always be together
b) The 2l’s will always be apart
2. Given that there are 10 students to be seated on 5 desks. How many different arrangements of the students are possible on the assumption that all seats are to be filled

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Question 1160069: A particles travel in a straight line so that,t seconds after leaving a fixed point,its velocity,velocity m/s,is given by v=35e^-2t.find the distance that the particles travels during the first 2 seconds.
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Question 1159622: How many ways can you order the letters of TORONTO if you must begin with exactly 2 O's?
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Question 1159622: How many ways can you order the letters of TORONTO if you must begin with exactly 2 O's?
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Question 1159622: How many ways can you order the letters of TORONTO if you must begin with exactly 2 O's?
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Question 1160021: We have two kind of tiles : 1 x 1 and 2 x 2, and use them to cover the 8 x 3 road without overlapping, how many different ways to arrange tiles there?
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Question 1160274: A catering service offers 7 appetizers, 10 main courses, and 5 desserts. A customer is to select 6 appetizers, 5 main courses, and 2 desserts for a banquet. In how many ways can this be done?

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Question 1160355: Determine the number of ways of placing the numbers 1-9 in a circle, so that the sum of any three numbers in consecutive positions is divisible by 3 (Two arrangements are considered the same if one arrangement can be rotated to obtain the other.)
please asap thank you

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Question 1160371: Find the number of ways of permutation the word hell such that the 2ls will always be together

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Question 1160505: A coin is tossed 10 times.How many different sequences containing six heads and four tails are possible?
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Question 1160524: HOW MANY DIFFERENT 10-LETTER WORDS(REAL OR IMAGINARY) CAN BE FORMED FROM THE LETTERS IN THE WORD REPETITION
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Question 1160524: HOW MANY DIFFERENT 10-LETTER WORDS(REAL OR IMAGINARY) CAN BE FORMED FROM THE LETTERS IN THE WORD REPETITION
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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