Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 1189573: The number of 3-digit numbers that can be formed by combining the three first digit numbers, is: A.27 B.18 C.9 D.8

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Question 1189573: The number of 3-digit numbers that can be formed by combining the three first digit numbers, is: A.27 B.18 C.9 D.8

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Question 1189573: The number of 3-digit numbers that can be formed by combining the three first digit numbers, is: A.27 B.18 C.9 D.8

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Question 1189618: In how many ways can 12 people be divided into two groups if one group has 8 people and the other has 4?
A)40,320 B)495 C)60 D)1,485 E)11,880

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Question 1189649: Fifteen DVDs are to be arranged on a shelf. 4 of the DVDs are horror films, 6 are comedies, and 5 are science fiction. In how many ways can the DVDs be arranged if DVDs of the same genre must be placed together?

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Question 1189667: (1)
(2) How many different ways can 3 red, 4 yellow and 2 blue bulbs be arranged in a string of Christmas tree lights with 9 sockets?
(3)

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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

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Question 1189754: A rectangle is cut by 6 lines parallel and 8 lines perpendicular to the base. Find the total number of rectangles thus formed
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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?

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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?

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Question 1190087: A 4-digit number is selected from the numbers {1,2,3,4,5,6} where the digits are selected without replacement.
How many 4-digit numbers can be chosen that are even and greater than 4000?

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Question 1190087: A 4-digit number is selected from the numbers {1,2,3,4,5,6} where the digits are selected without replacement.
How many 4-digit numbers can be chosen that are even and greater than 4000?

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Question 1190126: In how many ways can a family of 8 members be seated at a circular table with only 5 chairs?
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Question 1190125: In how many ways can a family of 8 members be seated at a circular table with only 5 chairs?
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Question 1190129: In how many ways can 4 different Math books, 5 different History books, and 2 different Filipino books be arranged on a shelf, if 2 Filipino books must be at the end of the shelf?
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Question 1190130: In how many ways can 4 different Math books, 5 different History books, and 2 different Filipino books be arranged on a shelf, if 2 Filipino books must be at the end of the shelf?
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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

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Question 1190222: In how many ways can 6 girls and 2 boys be seated in a circular table with boys seated to next each other?
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Question 1190334: Automobile Trips There are 2 major roads from city X to city Y and 4 major roads from city Y to city Z How many different trips can be made from city X to city Z, passing through city Y?
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Question 1190429: In how many ways can 12 people be divided into two groups if one group has 8 people and the other has 4?
a) 40,320
b) 495
c) 60
d) 1,485
e) 11,880

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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.

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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?

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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?

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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?
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Question 1190639: 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 at least three teachers?
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Question 1190640: In how many ways can an event organizer seat nine guests around a table?
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Question 1190659: Serena has found 5 foreign-films and 4 local films she likes in a DVD shop, and she is going to buy 4 of them. According to each of the following conditions, find the number of combinations of the films bought.
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Question 1190723: How many ways can you line up 7 books on a shelf?

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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.

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Question 1190907: MAT 145: Topics In Contemporary Math
Permutations and Combinations
5. There are 30 teams in the National Basketball Association. How many different draft lotteries (top 8 draft picks) are possible?

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Question 1190930: In how many ways can 2 accountants and 5 engineers be seated in a row so that those of the same career sit together?
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Question 1190938: How many different arrangements can be made of all the letters of the word
"ACCOUNTANTS"? In how many of them the vowels stand together?

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Question 1191172: A group of ten women and six men must select a four-person committee. How many committees are possible if it must consist of the following?
(a) two women and two men
(b) any mixture of men and women
(c) a majority of men

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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.

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Question 1191176: 3. In how many ways can 9 different books be arranged on a shelf so that
(a) 3 of the books are always together,
(b) 3 of the books are never all 3 together?
Show full solution, thank you!

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Question 1191221: 7. How many signals can be made with 5 different flags by raising them any number at a time?
Show full solution, thank you!

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Question 1191221: 7. How many signals can be made with 5 different flags by raising them any number at a time?
Show full solution, thank you!

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Question 1191220: 6. From 11 novels and 3 dictionaries, 4 novels and 1 dictionary are to be selected and arranged on a shelf so that the dictionary is always in the middle. How many such arrangements are possible?
Show full solutions, thank you!

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Question 1191266: There are 6 seats available in a room, in how many ways can 9 students be seated ?
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Question 1191310: 1. There are 10 doors to a coliseum. In how many ways can a person go in and out if one can enter any door but leave using another door?

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Question 1191330: A comedian knows ​jokes, are about the weather and are about sports. In how many ways can people select their favorite joke about the weather and their two favorites jokes told about​ sports?

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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?
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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*

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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*

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Question 1191410: How many 4-letter words can be formed from DESTINY? (NOTE:The
word may not mean anything.)
A. If repetition of the digits is permitted?
B. If repetition of the digits is not permitted?

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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