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

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Question 1157662: 80% of the voters favor Ms. Stein. If 6 voters are chosen at random, find the probability that at most 1 voter supports Ms. Stein.

Click here to see answer by Boreal(15235)

Question 1157665:
A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 70% chance of suitable weather. What is the probability that there will be at least one morning with suitable weather?
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Question 1157663:
A fruit company guarantees that 92% of the pineapples it ships will ripen within four days of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within four days.
Click here to see answer by Boreal(15235)

Question 1157730: A ball in a maze has reached a point where it can roll along any one of 3 different paths. Another ball in a different location of the maze has reached a point where it can roll along any one of 5 different paths. In how many ways can both possible events occur together??
Click here to see answer by ikleyn(52776)

Question 1157982: An organization has 120 members
How many ways can we arrange all the members of the organization in a single line?
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Question 1157981: An organization has 120 members
How many possible ways can we select 5 members of the organization to form a committee of size 5?
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Question 1158097: What is the total number of different 10-letter arrangements that can be formed using the letters in the word ABSTEMIOUS?

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Question 1158404: How many even numbers greater than 6000000 can be made with the digits 3,4,4,5,6,6, and 7?
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Question 1158403: How many numbers of 5 digits can be made from the digits 1,2,3,4,5,6,7,8 and 9 when each number contains exactly one even digit and no digit is repeated?
Click here to see answer by ikleyn(52776)

Question 1158443: Jim has to choose an outfit. His choices of pants are black, grey, or navy. His sweater choices are red, beige, white, or yellow. Draw a tree diagram
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Question 1158401: Find how many distinct numbers greater than 5000 and divisible by 3 can be formed from the digits 3,4,5,6 and 0, if each digit is used atmost once in a number?
Click here to see answer by Edwin McCravy(20054)

Question 1158529: [If we] Should work with three digit numbers divisible by three, what would be
the initial and final value of the counting variable?

Click here to see answer by Edwin McCravy(20054)

Question 1158640: A small coach has 24 seats, arranged in 6 rows of 4 seats each, with 2 seats on either side of the central aisle. A group consisting of 10 males and 9 females board the bus. How many combinations of empty seats are possible if all females sit on one side of the aisle and all males sit on the other?
Click here to see answer by VFBundy(438)

Question 1158782: Dorothy has 12 different superhero stickers.
She will give one sticker to Eric and one sticker to Fiona.
How many different ways are there of doing this?

Click here to see answer by Boreal(15235)

Question 1158907: The department will award a free computer to either a CS student or a CS professor. How many choices are there, if there are 539 students and 15 professors?
Click here to see answer by ikleyn(52776)

Question 1158906: A college has 7 good badminton players. In how many ways can a team of 5 players be selected.
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Question 1158909: There are 16 seniors and 15 juniors in a particular social organization. In how many ways can 4 seniors and 2 juniors be chosen to participate in a charity event?
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Question 1158905: A class contains 9 boys and 11 girls. In a committee of size 5, in how many ways, girls are to be more than boys.
Click here to see answer by Boreal(15235)

Question 1158960: There are 40 students taking Alg2 next year. I will have 24 kids in 2nd period Alg2 How many different combinations of students could I have in period 2? How would you solve this problem?
Click here to see answer by ikleyn(52776)

Question 1158966: There are 40 students taking Alg2 next year. I will have 24 kids in 2nd period Alg2 How many different combinations of students could I have in period 2?
Click here to see answer by Boreal(15235)

Question 1159037: How many numbers between 300 and 300 can be made from the digits 0,1,2,3,4 and 5 if no digit is repeated in a number?
Click here to see answer by ikleyn(52776)

Question 1159034: How many even numbers are there with three digits such that if 5 is one of the digits in a number then 7 is the next digit in that number in the numbers 0,1,2,3,4,5,6,7,8,9?
Click here to see answer by Edwin McCravy(20054)

Question 1159217: How many two-letter permutations can be made from the letters L, M, N, O, P?

Click here to see answer by ikleyn(52776)

Question 1159274: rented 10 movies but only has time to watch 3 on Saturday so he needs to create a schedule. How many different ways can Marcus schedule 3 movies from the 10 options?
Click here to see answer by ikleyn(52776)

Question 1159316: Two machines M1, M2 are used to manufacture resistors with a design
specification of 1000 ohm with 10% tolerance. Resistors of M1 are found to
follow normal distribution with mean 1050 ohm and standard deviation of 100
ohm, while those of M2 are found to follow normal distribution with mean 1000
ohm and standard deviation of 120 ohm. Which machine do you prefer? Why?
Click here to see answer by Boreal(15235)

Question 1159330: In how many ways can you select a set of 3 letters from JasmineOrtz
if the order of selection matters? In how many ways can you select a set of 3 letters if the order of selection does not matter? Thank you for your help I have been watching videos but I haven't been able to solve it

Click here to see answer by ikleyn(52776)

Question 1159312: Let f(x) = k (0.5^x+(0.3333333333)^x)
, x = 0,1,2,3, ... ..,
a) Find k
b) Find F(x)
c) Find P(100150)
d) Find P(X is even)
Click here to see answer by greenestamps(13198)

Question 1159325: If a couple plans to have 7 children, find the probability of them having more than 4 boys.
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Question 1159458: Solve the inequality|x-2|>2x-5
Click here to see answer by MowMow(42)

Question 1159448: How many non-zero sums of money are possible if you have 1 penny, 1 dime, 3 quarters and 1 loonie.
Click here to see answer by ikleyn(52776)

Question 1159486: 1.find the set of value x for which 3x^2-6x+5>14
Click here to see answer by Alan3354(69443)

Question 1159486: 1.find the set of value x for which 3x^2-6x+5>14
Click here to see answer by ikleyn(52776)

Question 1159487: Calculate the value of A,B and C for which 3x^2-6x+5=A (X+B)^2+C
Click here to see answer by josgarithmetic(39616)

Question 1159487: Calculate the value of A,B and C for which 3x^2-6x+5=A (X+B)^2+C
Click here to see answer by MathLover1(20849)

Question 1159530: Consider the word AARDVARK
A) Determine all the permutations of all of the letters.
B) Determine all the permutations of the letters in which the three A's are together
Click here to see answer by greenestamps(13198)

Question 1159531: Write each expression without using the factorial symbol.
A) (n+1)! over (n-1)!
B) (2n+1)! over (2n+3)!
Click here to see answer by greenestamps(13198)

Question 1159531: Write each expression without using the factorial symbol.
A) (n+1)! over (n-1)!
B) (2n+1)! over (2n+3)!
Click here to see answer by ikleyn(52776)

Question 1159544: 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 remainder is -6.
Show that a=-7
Click here to see answer by ikleyn(52776)

Question 1159546: 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 remainder is -6.
Show that (x+1) is a factor of f(x)
Click here to see answer by ikleyn(52776)

Question 1159547: 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.
It is also given that f(x) can be written in the form (x+1)(x^2+bx+c)where b and c are constants.find the values of b and c
Click here to see answer by ikleyn(52776)

Question 1159543: Differentiate e^-3x+1nx with respect to x
Click here to see answer by solver91311(24713)

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