Tutors Answer Your Questions about Permutations (FREE)
Question 634714: There are 17 common first names, 130 common middle names, and 193 common last names. How many unique character names can be generated?
I thought I should multiply the three numbers; however, I am confused because of the word unique.
Character names are first name, middle name, and then last name.
Thank you in advance for any assistance you may provide.
Click here to see answer by stanbon(75887)  |
Question 634814: In the game of “craps” two fair dice are rolled. If the total of the faces equals 7 or 11, you win. If the total is 2, 3, or 12, you have thrown craps and you lose. In all other cases, you throw again.
a. How many possible outcomes for that event of wining?
b. How many possible outcomes for that event of losing?
c. How many possible outcomes for that event of needing to throw again?
Click here to see answer by ewatrrr(24785)  |
Question 636382: A travel app will suggest 3 hotels and 5 restaurants at random for any city it has information. How many different suggestions can it make for a town that only has 8 hotels and 18 restaurants?
My thinking is C(8,3) + C(18,5). Am I on the right track?
Thank you in advance for any assistance.
Click here to see answer by solver91311(24713)  |
Question 636382: A travel app will suggest 3 hotels and 5 restaurants at random for any city it has information. How many different suggestions can it make for a town that only has 8 hotels and 18 restaurants?
My thinking is C(8,3) + C(18,5). Am I on the right track?
Thank you in advance for any assistance.
Click here to see answer by stanbon(75887) |
Question 636931: A particular level of a tower defense game requires you to place 10 towers that enemies will attempt to pass in order. There are 3 red towers, 5 grey towers, and 2 green towers to choose from for this level. How many different arrangements of towers are possible?
My thinking is 3! * 5! * 2! Am I on the right track?
Thank you in advance for any assistance.
Click here to see answer by stanbon(75887) |
Question 637616: How many different comittees can be chosen from 8 female and 10 male club members, if each committee is to contain 3 females and 3 males?
If you could explain the steps involved to calculating this it would be much appreciated!
Thanks,
Dom.
Click here to see answer by god2012(113)  |
Question 638033: Mr. and Mrs. Richardson want to name their new daughter so that her initials (first, middle, and last) will be in alphabetical order with no repeated initial. How many such triples of initials can occur under these circumstances?
Click here to see answer by Theo(13342)  |
Question 638960: Let n be a positive integer greater than 1. We call n prime if the only positive integers that (exactly) divide n are 1 and n itself. For example, the first seven primes are 2, 3, 5, 7, 11, 13, and 17.Use the method of exhaustion to show that every integer in the universe 4, 6, 8, . . . , 36, 38 can be written as the sum of two primes.
Click here to see answer by jim_thompson5910(35256) |
Question 639962: I have just started an online class dealing with math...mostly algebra & discrete math for information technology. We are currently on rule of sum & rule of product. The following is the question I must answer:
Here various extensions of the rule of product are illustrated by considering the manufacture of license plates consisting of two letters followed by four digits.
a) If no letter or digit can be repeated, there are 26 x 25 x 10 x 9 x 8 x 7=
3,276,000 different possible plates.
b) With repetitions of letters and digits allowed, 26 x 26 x 10 x 10 x 10 x 10 =
6,760,000 different license plates are possible.
c) If repetitions are allowed, as in part (b), how many of the plates have only vowels (A,E, I, O, U) and even digits? (0 is an even integer.)
I have read my text over & over again & still do not get this. I know this is based on positions that need to be filled to get the answer, but I just do not know how to work it & just need someone to give detailed step-by-step instructions on how to solve this. I need to know what the steps are & why each step is important to solve the problem. Thanks for all the help...I truly need it right now.
Click here to see answer by Edwin McCravy(20054)  |
Question 640292: There are five multiple-choice questions on an exam, each with four possible answers. Determine the number of possible answer sequences for the five questions.
Only one of the sequences can contain all five correct answers. If you are guessing, so that you are likely to choose one sequence of answers as another, what is the probability of getting all five answers correct?
Click here to see answer by reviewermath(1029)  |
Question 641677: A committee of 4 members is to be chosen from 7 females and 9 males. Suppose the committee is comprised of Chairman, Vice Chairman, Secretary and Treasurer. Resolve problem # 2.
Problem #2: How many possible sets can be constructed there are 3 males and 1 female in the committee?
Click here to see answer by lynnlo(4176) |
Question 642269: 1. Let p(x), q(x) denote the following open statements.
p(x): x ≤ 3 q(x): x + 1 is odd
If the universe consists of all integers, what are the truth values
of the following statements?
a) q(1) b) ¬p(3) c) p(7) ∨ q(7)
d) p(3) ∧ q(4) e) ¬(p(−4) ∨ q(−3))
f ) ¬p(−4)∧¬q(−3)
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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