Tutors Answer Your Questions about Permutations (FREE)
Question 993972: How many different 7-letter words can be made
A. if the first letter must be A, X or T and no letter may be repeated?
B. if repeats are allowed (but the first letter is A, X or T)?
C. How many of the 7-letter words (starting with A, X or T) with no repeats end in S?
Click here to see answer by stanbon(75887) |
Question 993972: How many different 7-letter words can be made
A. if the first letter must be A, X or T and no letter may be repeated?
B. if repeats are allowed (but the first letter is A, X or T)?
C. How many of the 7-letter words (starting with A, X or T) with no repeats end in S?
Click here to see answer by solver91311(24713)  |
Question 993969: A game consists of asking 17 questions to determine a person, place or thing that the other person is thinking of. The first question, which is always, "Is it an animal, vegetable, or mineral?", has three possible answers. All other questions must be answered with "Yes or "No." How many possible objects can be distinguished in this game, assuming that all 17 questions are asked? Are 17 questions enough?
Click here to see answer by solver91311(24713)  |
Question 993967: A container contains 15 diesel engines. The company chooses 7 engines at random, and will not ship the container if any of the engines chosen are defective. Find the probability that a container will be shipped even though it contains 2 defectives if the sample size is 7.
Click here to see answer by stanbon(75887) |
Question 994009: find the permutation of number of ways in which 5 first year student and 5 second year student can be seated on a bench in a examination hall so that no two students of the same class are next to each other ?
Click here to see answer by KMST(5328)  |
Question 994877: In a certain card game, players begin each round with 2 cards in hand, and then draw 5 more over the course of the round. If a player starts a round with 2 hearts, what is the probability that the player will have 5 or more hearts by the end of the round?
Click here to see answer by Edwin McCravy(20054)  |
Question 995031: Hello,
Let's say I have three letters; A, B and C. I need to know the formula how to count the number of all possible combinations using A, B and C, the letters can be repeated and the order of the letters is important (e.g. ABC and BCA are not the same).
All the way here I'm pretty confident I can solve this alone. right?
Moving on, what if the number of digits can be 1, 2 or 3? (e.g. A, B, C, AA, AB, ..., AAA, AAB, ABC, ... )
Is there a way to count that any faster way than ?
It is very time consuming if there can be any more than three digits in the answer and I have to manually solve it as shown above.
Thank you for your time!
Click here to see answer by rothauserc(4718)  |
Question 995519: An endurance contest is being held with two independent groups of 12 participants. Individual participants in the contest drop out before the end of the contest with probability 0.18 (independently of other participants). What is the probability that at least 11 participants complete the endurance contest in one of the two groups, but not in both groups?
Click here to see answer by Theo(13342)  |
Question 766872: 1. The Cool Gents is a R&B group planning their next concert tour. The band has a total of 25 new songs in their repertoire.
a. How many different set lists of 12 songs can the group select to play on tour? Use permutations or combinations. (Hint: the order of the songs is not relevant.)
b. How many different ways are there for the group to record a CD consisting of 12 songs chosen from 25 new songs? Use permutations or combinations. (Hint: The order in which the songs appear on the CD is relevant).
Click here to see answer by glenn3077(1) |
Question 997757: How to get 100 by using digits from 1 to 9. Rules-
Only addition can be used.......
every digit should and can used only once and compulsory to use every digit.........
pairs can be made like 2 and 3 digits can be used as 23 or 32........
Fractions can be used like 2 and 5 digits can be written as 2/5 or 5/2...........
Click here to see answer by Edwin McCravy(20054)  |
Question 999128: The Computer Science department must select three faculty members to send to represent the department at a conference from the fifteen full-time faculty members. In how many ways can the selections be made?
Click here to see answer by Boreal(15235)  |
Question 999128: The Computer Science department must select three faculty members to send to represent the department at a conference from the fifteen full-time faculty members. In how many ways can the selections be made?
Click here to see answer by ikleyn(52776)  |
Question 999128: The Computer Science department must select three faculty members to send to represent the department at a conference from the fifteen full-time faculty members. In how many ways can the selections be made?
Click here to see answer by stanbon(75887) |
Question 999131: A student is applying for eight jobs in 8 separate states. All the interviews will require her to take flights to the destinations. She schedules her first interview in her home state of Florida and the last interview in Colorado. In how many ways can she arrange the interviews so she can do it all without returning home between any of the interviews?
Click here to see answer by stanbon(75887) |
Question 999130: Each of three fraternities must each send two members to a meeting with the university administration. One fraternity has 20 members, another has 31 members and the third has 45 members. Determine the total number of ways in which these six people could be selected.
Click here to see answer by ikleyn(52776)  |
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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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