Tutors Answer Your Questions about Permutations (FREE)
Question 1137149: A multiple-choice test has 6 questions. Each question has 5 choices and only one of which is correct. If a
student guesses the answer for each question find the probability that the students gets exactly 3 questions correct
Click here to see answer by ikleyn(52778)   |
Question 1137240: Fred has 12 different books
Suppose that Fred first gives three books to Jill and then gives four of the remaining books to Jack how many different outcomes are possible?
Suppose that Fred first gives for books to Jack and then gives three of the remaining books to Jill how many different outcomes are possible?
Explain why the answers to Parts A and B are the same
Click here to see answer by Boreal(15235)  |
Question 1137275: To keep computer files secure, many programs require the user to enter a password. The shortest allowable passwords are typically six characters long and can contain both numbers and letters. How many six character passwords are possible if characters can be repeated?
Click here to see answer by Boreal(15235) |
Question 1137394: At the scene of a hit-and-run accident, a witness told the police that they saw only the first three characters of the six character license plate on a fleeing vehicle. The police want to check all Place matching the known first three characters UDP if a character can be any digit 1 through 9 or any letter not including (i, o, or q) how many plates will the police need to run
Click here to see answer by VFBundy(438)  |
Question 1137399: A restaurant offers its customers a choice of three side dishes with each meal the side dishes can be chosen from a list of 15 possibilities with duplications allowed for instance a customer can order two sides of mashed potatoes and one side of string beans show that there are 680 possible options for the three side dishes
Click here to see answer by greenestamps(13200)  |
Question 1137429: Question Part
Points
Submissions Used
The "Pick 3" at horse racetracks requires that a person select the winning horse for three consecutive races. If the first race has ten entries, the second race twelve entries, and the third race eight entries, how many different possible tickets might be purchased?
Click here to see answer by ikleyn(52778) |
Question 1137667: a multiple choice test consists of 10 questions, each with four answer choices. what is the probability that a person who randomly guesses gets the first two questions correct
p=1\4=0.25
q=3\4=75
p=10cr(1\4)(10-8)x(3\4)
10c2x(0.25)4x(0.75)x2
Click here to see answer by ikleyn(52778) |
Question 1138537: This about how many outcomes sequences are possible if a die is rolled five times for example one outcome could be 2,4,2,5,6 if the fist roll landed on 2, the second on 4, he third on 2, and the fourth on 5,on fifth 6?
Click here to see answer by ikleyn(52778) |
Question 1138708: A retailer estimated that the probability that the practice of basic commodity will increase, decrease, or
remain unchanged during a given month is 0.35, 0.10, and 0.55 respectively. What is the probability
that the price of the commodity will change during the month?
Click here to see answer by greenestamps(13200) |
Question 1138708: A retailer estimated that the probability that the practice of basic commodity will increase, decrease, or
remain unchanged during a given month is 0.35, 0.10, and 0.55 respectively. What is the probability
that the price of the commodity will change during the month?
Click here to see answer by ikleyn(52778) |
Question 1138841: 20 different amino acids are essential to life
To study the folding of proteins caused by bonds among these amino acids,must be considered all possible set of four amino acids with repeats Allowed by independent of order these are called amino acids,quadruplets
How many such quadruplets are there?
Click here to see answer by ikleyn(52778) |
Question 1138961: In how many ways can the eight members of a students’ council pose in a line for a yearbook photograph if the chair and vice-chair must be side by side?
This is how I think it should be solved:
Since the chair and vice chair have to be together, they count as 1 person. That means there are 7 people to arrange, so there are 7!= 5040 possible orders. However, since the chair and vice chair can be in 2 possible orders relative to each other (one on the right and the other on the left), that makes the total possible arrangements 5040x2= 10,080.
This is the site's explanation:
First find the number of arrangements in which the chair and vice-chair are together. Consider the chair and vice-chair as a unit. This pair can be arranged with the remaining six members in 6P6=720 ways. For each of these ways, the chair could be either on the left or the right of the vice-chair.
Therefore, there is a total of 2×720=1440 ways in which the chair and vice-chair are together.
Why did they do 6! and not 7! ?
Click here to see answer by jim_thompson5910(35256) |
Question 1138961: In how many ways can the eight members of a students’ council pose in a line for a yearbook photograph if the chair and vice-chair must be side by side?
This is how I think it should be solved:
Since the chair and vice chair have to be together, they count as 1 person. That means there are 7 people to arrange, so there are 7!= 5040 possible orders. However, since the chair and vice chair can be in 2 possible orders relative to each other (one on the right and the other on the left), that makes the total possible arrangements 5040x2= 10,080.
This is the site's explanation:
First find the number of arrangements in which the chair and vice-chair are together. Consider the chair and vice-chair as a unit. This pair can be arranged with the remaining six members in 6P6=720 ways. For each of these ways, the chair could be either on the left or the right of the vice-chair.
Therefore, there is a total of 2×720=1440 ways in which the chair and vice-chair are together.
Why did they do 6! and not 7! ?
Click here to see answer by ikleyn(52778) |
Question 1138945: The roundworm brain has 302 neurons each neuron is assigned a three letter name such as RMG how many are available?
Only about 8,000 synapse connect pairs among the 302 neurons. What would have been the maximum possible number of synapse connecting pairs of neurons?
Click here to see answer by ikleyn(52778) |
Question 1138907: To make a non-vegetarian fajita at Freebirds, you must choose between a flour or
corn tortilla. You must then choose one type of meat from 4 types offered. You
can then add any combination of extras (including no extras). The extras offered are
fajita vegetables, beans, salsa, guacamole, sour cream, cheese and lettuce. How many
different fajitas can you make?
Click here to see answer by math_helper(2461)  |
Question 1139227: A box of 25 chocolate candies contains 8 dark chocolate, 7 caramel and 10 with nuts.
Take 4 candies from the box without replacement. Find the probability that exactly 2 are dark
chocolate and 2 are caramels. Write your answer as an exact fraction; no need to simplify.
Click here to see answer by Boreal(15235) |
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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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