Tutors Answer Your Questions about Permutations (FREE)
Question 1040063: How many ways are there to re-arrange numbers 1 to 12 on a circle, so that the sum of any 3 consecutive numbers is divisible by 3?
Obviously in the original arrangement (1, 2, 3, ..., 12) this is true because the sum of any 3 consecutive integers is always divisible by 3 (n, n+1, n+2 ---> 3n+3).
Click here to see answer by KMST(5328)   |
Question 1039768: Committees of men and women. We want to select a committee of five members from a group of five women and six men. The order of selection is irrelevant.
How many committees can we make with fewer men than women? Suggestion: There could be three women and two men, four women and one man, or five women.
(Fill in the blank below and give your answer as a whole number.)
Click here to see answer by Edwin McCravy(20054)  |
Question 1040550: a committee of the parents and the teachers association of a school, consisting of 6 members is to be chosen from 8 teachers and 10 parents.calculate the number of different ways the committee can be formed
I) if there is no restriction
II)the committee consists of 4 parents and 2 teachers
Click here to see answer by Boreal(15235)  |
Question 1025108: How many 5 digit numbers can be formed with 0,1,2,3,4,5,6,7,8,9 if (a) pre petitions are allowed, (b) repetitions are not allowed, (c) the last digit must be 2 and repetitions are not allowed, (d) the last digit must be 2 and repetitions are allowed?
Click here to see answer by nishantxumar(3) |
Question 1042022: An online coupon service has 13 offers for free samples. How many different requests are possible if a customer must request exactly 3 free samples? How many are possible if the customer may request up to 3 free samples?
Click here to see answer by jorel555(1290) |
Question 1041936: Each question of a 5-question multiple choice exam has possible answers. Suppose a student picks an answer at random for each question. Find the probability the student selects the correct answer on all of the questions .
Click here to see answer by jorel555(1290) |
Question 1041934: A doctor has 5 doses of flu protection vaccine left. He has 7 women and 9 men who want the medication. If the names of 5 people are selected at random, determine the probability that 5 men's names are selected. The problem is to be done without replacement. Use combinations to determine the probability.
Click here to see answer by Edwin McCravy(20054) |
Question 1042150: Sir in how many ways are possible of digits 1 2 3 4 5 6 7 8 9 0 picking minimum 3 digits at a time to sum up any number between 1 and 45 e.g.
123=7, 789=24, 450=19 picking 3 digits
34567 =25 56789 =35 picking 5 digits.
234789 =33 picking 6 digits
My question is in how many ways we can write these numbers so as that sum of the digits is between 1 and 45. Picking atleast three digits at a time is necessary.
Click here to see answer by solver91311(24713)  |
Question 1042231: You bought six numbers at your local hardware store. The numbers are 0, 1, 2, 3, 4, 5.
a) How many 6 digit house numbers would be even?
(note: 0351 is not considered a house number and you only use each number once).
b) Using the same digits as above, how many 4 digit numbers smaller than 3500 could
you form if repetition was not allowed? (note: 0351 is not considered a house number).
Click here to see answer by Edwin McCravy(20054) |
Question 1042231: You bought six numbers at your local hardware store. The numbers are 0, 1, 2, 3, 4, 5.
a) How many 6 digit house numbers would be even?
(note: 0351 is not considered a house number and you only use each number once).
b) Using the same digits as above, how many 4 digit numbers smaller than 3500 could
you form if repetition was not allowed? (note: 0351 is not considered a house number).
Click here to see answer by Aldorozos(172) |
Question 1042273: A general loses one sixth of his troops to a deadly virus. Of those that survive the virus, one fourth are killed in battle.
If there are 75 troops remaining, how many were present before the disease struck?
Click here to see answer by ikleyn(52776)  |
Question 1042354: We want to select a committee of five members from a group of five women and six men. The order of selection is irrelevant.
How many committees can we make consisting of two women and three men?
I have tried this several ways but I am doing something wrong. Can someone show me as I have more to do like this for my upcoming summer final.
Click here to see answer by jorel555(1290) |
Question 1042354: We want to select a committee of five members from a group of five women and six men. The order of selection is irrelevant.
How many committees can we make consisting of two women and three men?
I have tried this several ways but I am doing something wrong. Can someone show me as I have more to do like this for my upcoming summer final.
Click here to see answer by chen.aavaz(62) |
Question 1042377: Suppose that you are at the base of a hill and see a sign that reads "Elevation 2500 Feet." The road you are on goes straight up the hill to the top, which is 3 horizontal miles from the base. At the top, you see a sign that reads "Elevation 3100 Feet." What is the growth rate in your elevation with respect to horizontal distance as you drive up the road?
__________ft/mi
Use V for elevation in feet and h for horizontal distance in miles, and find a formula that gives your elevation as a linear function of your horizontal distance from the base of the hill.
_____________
Can someone answer these and show me how to get the correct answer before my exam this week.
I don't honestly understand either of the two parts of this problem.
Click here to see answer by stanbon(75887) |
Question 1042371: In one instance a financial institution loaned you $70,000 for two years at an APR of 8.75%. In a second instance you loaned a financial institution $70,000 for two years at an APR of 8.75% compounded monthly. What is the difference in the amount of interest paid? (Round your answer to the nearest cent.)
I cannot seem to get the correct answer. I think I am doing it incorrectly. Can someone help.
Click here to see answer by stanbon(75887) |
Question 1042400: The 20 balls in a box (5 Balls with A on them, 10 Balls with B on them, 7 Balls with C on them) have either 0 (blank), 1, or 2 letters on them. If five balls have only a C on them, two balls have only a B on them, and two balls have an A and a C on them, what is the maximum number of balls that can be blank?
Click here to see answer by solver91311(24713) |
Question 1042399: There are 20 balls in a box (5 balls with A on them, 6 balls with B on them,8 balls with C on them) have either 1, or 2 letters on them. If five balls have B and C on them, at most how many balls can have both A and B on them?
Click here to see answer by solver91311(24713) |
Question 1042369: Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $6000 loan for 37 months at 3.5% APR. How much total interest will you have paid at the end of the 37 months? (Round your answer to the nearest cent.)
$ 1,081
Incorrect: Your answer is incorrect.
Can anyone tell me the correct answer and how to get it. I thought I did it right.
Click here to see answer by solver91311(24713) |
Question 1042367: Suppose an opaque jar contains 4 red marbles and 10 green marbles. The following exercise refers to the experiment of picking two marbles from the jar without replacing the first one.
What is the probability of getting a green marble and a red marble together? (Enter your probability as a fraction.
Hint: How is this exercise different from finding the probability of getting a green marble first and a red marble second?)
I really need help on this one if anyone is available.
Click here to see answer by robertb(5830)  |
Question 1042395: The 20 balls in a box as shown above have either 0 (blank), 1, or 2 letters on them. If five balls have only a C on them, two balls have only a B on them, and two balls have an A and a C on them, what is the maximum number of balls that can be blank?
Click here to see answer by Edwin McCravy(20054) |
Question 1042633: Q1=in a class there are 10 boys and 8 girls the teacher want to select either a boy or a girl to represent the class in a functioin in how many ways the teacher can make this selection.
Q2=the number of ways in which one can post 4 letter in 5 letter boxes is?
Q3=four dice are rolled the no. Of ways in which at least one die shows 3 is?
Q4 the total no. Of ways of answering 5 objective type questions each question having 4 choice is ?
Click here to see answer by solver91311(24713) |
Question 1042328: a committee of 10 members is to be formed with members chosen from the faculties of art ,economics ,education, medical,and science number of possible ways in which the faculties representation be distributed on this committee of every department has more than 10 members
Click here to see answer by ikleyn(52776) |
Question 1042329: On normal cheese board i1 and I 2 are two insects starting from two opposite edges of the board each insect moves with same constant speed i1 can only move upwards and right and i2 can only move downwards and left along the lines drawn find the total number of ways in which the insects can meet each other
Click here to see answer by ikleyn(52776) |
Question 1042368: I have a medical statistics problem.
I have listed it below and the WRONG answers that I got to the three part problem:
Suppose that a certain HIV test has both a sensitivity and specificity of 99.9%. This test is applied to a population of 1,000,000 people.
Suppose that 1% of the population is actually infected with HIV.
(a) Calculate the PPV.
91.7
Incorrect: Your answer is incorrect.
(b) Calculate the NPV. (Round your answer to three decimal places.)
99.989
Incorrect: Your answer is incorrect.
(c) How many people will test positive who are, in fact, disease-free?
900
Incorrect: Your answer is incorrect.
Can anyone tell me the correct answer to these three parts and how you got them. I made a table but somehow I messed up along the way. I don't have an example in my book for solving this.
Click here to see answer by Boreal(15235) |
Question 1042828: Serial numbers for a product are to be made using 4 letters followed by 2 numbers. If the letters are to be taken from the first 9 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through 9 with repeats possible, how many serial numbers can be generated?
Click here to see answer by stanbon(75887) |
Question 1042925: Hello,
In class there are 8 boys and 10 girls. The teacher pairs the students randomly. What is the probability that 8 pairs are girl-boy pairs?
How do I approach this?
I was thinking maybe:
(8c1*10c1*7c1*9c1*...*2c2)/(18c2*16c2*...*2c2)
Thank you for your help and time.
Click here to see answer by jim_thompson5910(35256) |
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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
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