Tutors Answer Your Questions about Permutations (FREE)
Question 1206967: Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth.
The voter is under 39 years old.
Incorrect: Your answer is incorrect.
Age Republican Democrat Independent Other Total
18 - 28 205 432 98 112 847
29 - 38 311 301 109 83 804
39 - 49 250 251 150 122 773
≥50 272 283 142 107 804
Total 1038 1267 499 424 3228
Click here to see answer by ikleyn(52778)  |
Question 1206967: Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth.
The voter is under 39 years old.
Incorrect: Your answer is incorrect.
Age Republican Democrat Independent Other Total
18 - 28 205 432 98 112 847
29 - 38 311 301 109 83 804
39 - 49 250 251 150 122 773
≥50 272 283 142 107 804
Total 1038 1267 499 424 3228
Click here to see answer by math_tutor2020(3816) |
Question 1207205: 1) How many ways can 3 boys and 3 girls stand in a line if
a) There are no restrictions.
b) All boys must stand next to each other.
c) all boys and all girls stand alternately by gender.
d) Two particular boys must stand next to each other and at the same time two particular girls must stand next to each other
e) Two particular boys must stand next to each other and at the same time two particular girls must not stand next to each other
2) How many ways can 4 boys and 4 girls stand in a circle if
a) There are no restrictions.
b) All boys must stand next to each other.
c) all boys and all girls stand alternately by gender.
d) Two particular boys must stand next to each other and at the same time two particular girls must stand next to each other
e) Two particular boys must stand next to each other and at the same time two particular girls must not stand next to each other
Click here to see answer by ikleyn(52778)  |
Question 1207577: Sam wants to color the three sides of an equilateral triangle. He has two different colors to choose from. In how many different ways can Sam color the sides of the triangle? (Two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring.)
Click here to see answer by ikleyn(52778)  |
Question 1207576: At a meeting, four scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the mathematicians must sit next to each other? (Two seatings are considered equivalent if one seating can be obtained from rotating the other.)
Click here to see answer by ikleyn(52778)  |
Question 1207575: A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, 4, 6, 6, 1, 5 is one possible sequence.)
Click here to see answer by ikleyn(52778)  |
Question 1207574: Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if one can be rotated to form the other.)
Click here to see answer by ikleyn(52778)  |
Question 1207653: The following cards are split into three piles at random, so that every pile contains the same number of cards. What is the probability that every pile contains an Ace?
Ace of spades
Ace of hearts
Ace of diamonds
Ace of clubs
Two of spades
Two of hearts
Click here to see answer by Edwin McCravy(20054)  |
Question 1207742: Serial numbers for a product are to be made using 4 letters followed by 4 digits. The letters are to be taken from the first 7 letters of the alphabet, with no repeats. The digits are taken from the 10 digits (0,1,2, ..., 9), with no repeats. How many serial numbers can be generated?
Click here to see answer by ikleyn(52778)  |
Question 1207831: One factory employs 35 male and 20 female workers. The factory owner wanted to form A social committee for male and female workers with 5 randomly selected members: What is the probability that the chairman of the committee , Vice-Chairman of the Committee and the treasurer are male workers, and the other members are from female Workers?
Click here to see answer by ikleyn(52778)  |
Question 1207858: One sports federation runs a council of 14 women and 10 men. The Federation decided to select a small committee from
The Board consists of 4 members at random, and elects a chairman, a secretary, and two treasurers. What is the probability
Click here to see answer by ikleyn(52778)  |
Question 1207858: One sports federation runs a council of 14 women and 10 men. The Federation decided to select a small committee from
The Board consists of 4 members at random, and elects a chairman, a secretary, and two treasurers. What is the probability
Click here to see answer by math_tutor2020(3816) |
Question 1208079: assume there are 365 days in a year, from a group of 4 random people
a) what is the total number of combination for their birthday
b)what is the total number of combination for their birthday if no birthday is shared by any two people.
c)what is the probability that no birthday is shared by any two people
d)what is the probability that there is at least a shared birthday in the group.
Click here to see answer by ikleyn(52778)  |
Question 1208164: Among 120 applicants for a job in an insurance company, only 80 are actually qualified. If
five of the applicants are randomly selected for an in-depth interview, find the probability
that only two of the five will be qualified.
Click here to see answer by ikleyn(52778)  |
Question 1208392: On a library shelf there are 5 different science books and 4 different math books. Find the number of ways to arrange the books next to each other on the shelf in the following cases: No two math books are next to each other.
Click here to see answer by ikleyn(52778)  |
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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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