Tutors Answer Your Questions about Permutations (FREE)
Question 1093801: If you were given a five-question multiple choice test that has four possible answers for each question (a,b,c,d), how many ways could you answer all the questions on the test if you do not put down the same answer for two consecutive questions?
Click here to see answer by greenestamps(13198)  |
Question 1093801: If you were given a five-question multiple choice test that has four possible answers for each question (a,b,c,d), how many ways could you answer all the questions on the test if you do not put down the same answer for two consecutive questions?
Click here to see answer by ikleyn(52776)  |
Question 1094318: Determine whether the following problem involves a permutation or combination. (It is not necessary to solve the problem.) Explain why you chose your answer.
Out of 17 boys, 9 are to be chosen to play on the baseball team. Consider the possibilities.
Click here to see answer by ikleyn(52776)  |
Question 1094318: Determine whether the following problem involves a permutation or combination. (It is not necessary to solve the problem.) Explain why you chose your answer.
Out of 17 boys, 9 are to be chosen to play on the baseball team. Consider the possibilities.
Click here to see answer by greenestamps(13198)  |
Question 1094502: A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 2 are reggae songs, and 4 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are rock songs? Write your answer as a fraction in simplest form.
Click here to see answer by jim_thompson5910(35256) |
Question 1094501: A certain committee consists of
18
people. From the committee, a president, a vice-president, and a treasurer are to be chosen. In how many ways can these
3
offices be filled? Assume that a committee member can hold at most one of these offices.
Click here to see answer by greenestamps(13198)  |
Question 1095609: A school teacher has 6 girls and 8 boys to arrange for a choir. Determine the number of ways she can arrange the 14 children,
a) if the boys should stand behind the girls.
b) in a single row, if the girls must be kept together.
c) in a single row, if no two girls should stand next to each other.
Click here to see answer by Edwin McCravy(20054)  |
Question 1096183: How many ways can a school organization officers consisting of a president, a vice-president, a secretary, and a treasurer be formed from 6 males and 7 females, if;
a. Any of them is qualified to any position.
b. The president must be a male.
c. The president and the vice president must be a male and female respectively?
d. The president must be a female but three particular females do not want to be included in the set of officers.
Click here to see answer by Edwin McCravy(20054)  |
Question 1096350: Hi, I am having trouble figuring out how to solve this following problem:
A real estate office has 10 sales agents. Each of four new customers must be assigned an agent.
(a) Find the number of agent arrangements where order is important.
(b) Find the number of agent arrangements where order is not important.
I have considered using methodologies such as assigning a customer name to each sales agent such as assigning customers 1,2,3,4 to agent 1 all the way to 37,38,39,40 to agent 10 and attempting to switch the customers around so that every possible combination is found. I know this is a combination problem, but I do not know how to apply the formula.
Click here to see answer by jim_thompson5910(35256) |
Question 1096479: A director of a music video show wishes to play 4 rap videos and 3 R&B videos. He has 10 rap and 5 R&B videos to choose from.
If we consider the order in which the videos are played, how many different line-ups can the show have?
Note that no video can be used more than once.
Click here to see answer by sandeepvijay(8) |
Question 1096519: If you rotate a sheet of paper by 180 degrees, digits 0, 1, and 8 do not change; 6 becomes a 9; 9 becomes a 6; while other digits lose their meaning. Count all the 7-digit numbers that do not change upon rotation by 180 degrees.
Click here to see answer by Gentle Phill(18)  |
Question 1096803: In how many ways can the letters of the word WINNIPEG be arranged if the letters W, P, and G must remain in the same order they appear in the word?
I have arranged 8 spots for the letters and placed W, P, and G in their spots. There are only 5 spots left now, where do I go from here?
Thanks
Click here to see answer by ikleyn(52776)  |
Question 1096685: Winning the jackpot in a particular lottery requires that you select the correct four numbers between 1 and 56 and, in a separate drawing, you must also select the correct single number between 1 and 51. Find the probability of winning the jackpot
Click here to see answer by jorel1380(3719)  |
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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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