Tutors Answer Your Questions about Permutations (FREE)
Question 1189702: The letters C,I,R,C,L, and E can be used to form 6-letter strings such as CIRCLE or CCIRLE. Using these letters, how many different 6-letter strings can be formed in which the two occurrences of the letter C are separated by at least one other letter?
a)96 b)120 c)144 d)180 e)240
Click here to see answer by ikleyn(52776)  |
Question 1189758: A cold-footed centipede has a drawer filled with many, many socks. And yes, that
centipede does have 100 feet. If the centipede only owns green and brown socks, how
many must it pull from the drawer in the dark of the morning to be assured that it has
a matching set for all of its feet (100 socks of the same color)? What if the centipede
also owns polka-dotted socks? What if the centipede’s drawer has many, many socks
of k different colors?
Click here to see answer by ikleyn(52776)  |
Question 1189800: A motorcycle license plate had three digits followed by two letters. The first digit can't be zero or one. The second and third digits can be any digit. None of the letters can be I, O and U. With these restrictions, how many different license plates are possible?
Click here to see answer by math_helper(2461)  |
Question 1190190: An elected official wants to take five members of his staff to an undisclosed secure location. What is the minimum number of staff members the elected official must have in order to have at least 20 different groups from which to choose?
A)7 B)8 C)9 D)10 E)11
Click here to see answer by math_tutor2020(3816) |
Question 1190533: You order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without. However, the restau-rant forgot to label them. If you pick three burritos at ran-dom, find the probability of each event in Exercises 23 - 30. 23. All have hot peppers.
Click here to see answer by ikleyn(52776)  |
Question 1190636: Vince has eight Algebra books and five Statistics books. He only has space for five books on the shelf. If the first four slots are to be occupied by Algebra books and the last slot is to be occupied by s Statistics book, in how many ways can this be done?
Click here to see answer by math_tutor2020(3816) |
Question 1190636: Vince has eight Algebra books and five Statistics books. He only has space for five books on the shelf. If the first four slots are to be occupied by Algebra books and the last slot is to be occupied by s Statistics book, in how many ways can this be done?
Click here to see answer by ikleyn(52776)  |
Question 1190637: An investigation committee with eight members is to be formed from a group of seven teachers and nine student leaders. In how many ways is this possible if the committee must have five teachers and three student leaders?
Click here to see answer by ikleyn(52776)  |
Question 1190834: Suppose you had graduated from high school but did not have enough money to continue your college education. You decided to work temporarily and save for your schooling You applied at Mr.
Agustin's restaurant and were hired. After a few days, you noticed that the restaurant business was not doing very well, and Mr. Agustin asked for your opinion. What you noticed was that there was no variety
in the food being served in the restaurant
1. Prepare a list of different choices of food that may be served (soup, meat dishes, fish,
vegetables, fruits, desserts, beverages). Consider health and nutritional values
2. Formulate and solve 2 problems involving permutation and combination concepts in the situation.
Click here to see answer by greenestamps(13198)  |
Question 1191164: There are 6 friends (A, B, C, D, E, F) going to a cinema which has 6 available (adjacent) seats left. How many ways
can they be seated…
a. if A and B are BFF’s that must be seated beside each other
b. if A and B are ENEMIES that must be seated apart from each other.
Click here to see answer by Edwin McCravy(20054)  |
Question 1191334: A comedian knows jokes. One joke is old, one joke is new, and the other jokes are somewhere between. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if the old joke is told first and the new joke is told last?
Click here to see answer by ikleyn(52776)  |
Question 1191355: One state’s lottery consists of a person choosing 5 different numbers, each between 1-50. Find the probability of matching all five numbers if…
a.) order matters
b.) order does not matter
*Please use the P(A)=number of outcomes in event A/total numbers of outcomes formula*
Click here to see answer by ikleyn(52776)  |
Question 1191353: Mrs. Voss’ speech class has 25 students. If 6 students will give their speeches today and the order is chosen randomly, then what is the probability that Tim goes first and Jenny goes second (the rest can be anyone)?
*Please use the P(A) = number of outcomes in event A/total number of outcomes formula*
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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