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

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Question 1151251: A club has 5 members. From these members, the positions of president and vice-president have to be filled. In how many different ways can these positions be filled?

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Question 1151251: A club has 5 members. From these members, the positions of president and vice-president have to be filled. In how many different ways can these positions be filled?

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Question 1151324: A women's lacrosse team is holding tryouts. The coach has decided that he will keep 20 players from tryouts for his team. If 23 women try out for the team, how many different ways can the 20-player team be formed?
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Question 1151356: Two dice are tossed. What is the probability of not getting a sum of 5?
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Question 1150024: How many four-letter words can be made from the letters "TOMORROW"?
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Question 1151419: A student is selecting three classes for the winter quarter. There are four drawing and design courses, three general-education courses, and three other major courses that fit in their schedule. If said student is only taking one course from each category, determine the number of possible class schedules.

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Question 1149684: Twenty students, ten male and ten female, are to travel from school to the sports ground. Eight of them go in a minibus, six of them in cars, four of them on bikes and two walk.
In how many ways can they be distributed if none of the boys walk?

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Question 1151702: Hello,
Given a sey of digits 1 to 9. 9 digit numbers are to be formed from the set without repetition. Find the possible number of ways of getting the digits 1 and 2 precede the digits 3 and 4.

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Question 1151730: Out of six pdp and five acp party member four are to be selected. In how many ways can this be done so as to include:
1. exacly one pdp member.
2. at least one acp member

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Question 1151727: A bag contains four red marbles, one green one, one lavender one, three yellows,
and two orange marbles.
How many sets of five marbles include at most one of the yellow ones?

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Question 1151727: A bag contains four red marbles, one green one, one lavender one, three yellows,
and two orange marbles.
How many sets of five marbles include at most one of the yellow ones?

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Question 1151847: The Chang family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are beds, desks, and dresser to select from. How many different furniture sets could they select?

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Question 1151847: The Chang family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are beds, desks, and dresser to select from. How many different furniture sets could they select?

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Question 1151944: how many ways aphotographer at awedding arange apeople in agroup of 10people where the bridge and grom are among there 10 people if the bridge must be in the picture? show all steps
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Question 1151929: A 20-sided icosahedron is thrown 6 times. It has 7 red, 3 blue, 2 purple, 2 brown, 2 black, 2 green faces. What is the probability that 5 red and 2 blue faces will appear? But what if all the faces have the same color?
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Question 1151958: A 20-sided icosahedron is thrown 6 times. It has 7 red, 3 blue, 2 purple, 2 brown, 2 black, 4 green faces. What is the probability that 5 red and 2 blue faces will appear? But what if all the faces have the same color?
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Question 1151958: A 20-sided icosahedron is thrown 6 times. It has 7 red, 3 blue, 2 purple, 2 brown, 2 black, 4 green faces. What is the probability that 5 red and 2 blue faces will appear? But what if all the faces have the same color?
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Question 1152119: A school dance committee is made up of 2 freshman, 6 sophomores, 3 juniors, and 2 seniors.
How many ways are there to sit the committee in a row at a meeting if the freshman,sophomores, and juniors must sit by grade, but the seniors can sit wherever they want?

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Question 1152119: A school dance committee is made up of 2 freshman, 6 sophomores, 3 juniors, and 2 seniors.
How many ways are there to sit the committee in a row at a meeting if the freshman,sophomores, and juniors must sit by grade, but the seniors can sit wherever they want?

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Question 1152189: How many positive even 10 digit numbers can be written using 7 ones and 3 zeroes ?thanks for any help .
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Question 1152202: rolling a number greater than 1

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Question 1152204: Four consecutive numbers are added. If the smallest number is n-1, what are the four numbers
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Question 1152232: A school dance committee is made up of 3 freshman, 4 sophomores, 2 juniors, and 5 seniors.
How many ways are there to sit the committee in a row at a meeting if the freshman,sophomores, and juniors must sit by grade, but the seniors can sit wherever they want?

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Question 1152247: A lottery game requires that a person select an uppercase or lowercase letter followed by three different two-digit numbers (where the digits cannot both be zero). How many different ways are there to fill out a lottery ticket?
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Question 1152218: How many different basketball teams can be formed from a squad of 12 men if only 2 of the men can play center and these two can play in no other position?
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Question 1152347: a)How many ways can 10 questions on a test be arranged?
b)How many ways can 10 questions be arranged on a test, if the easiest and the most difficult questions are side by side?
c)How many ways can 10 questions on a test be arranged, if the easiest and the most difficult questions are NOT side by side? ( hint: indirect method)
Thanks

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Question 1152346: I have a standard deck of cards. How many different ways can I select three red cards in a row?
Thank you

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Question 1152353: There is a standard deck of cards.
How many different ways can I select three black cards in a row?

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Question 1152353: There is a standard deck of cards.
How many different ways can I select three black cards in a row?

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Question 1152448: A warehouse employs 27 workers on first shift, 19 workers on second shift, and 14 workers on third shift. Eight workers are chosen at random to be interviewed. Find the probability of choosing exactly five first shift workers.

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Question 1152487: In how many ways can three diamonds be drawn from a standard deck of 52 cards?
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Question 1152491: A catering service offers 10 appetizers, 4 main courses, and 7 desserts. A customer is to select 8 appetizers, 3 main courses, and 5 desserts for a banquet. In how many ways can this be done?
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Question 1152534: At a scientific congress, 85% of participants speak english (A), 35% speak french (F) and 25% speak both of these languages. If we randomly chose a congressman, what would be the probability of him being able to speak English or French?
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Question 1152555: Find the number of permutations of the numbers 1,2,3 and 4 taken two at a time
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Question 1152555: Find the number of permutations of the numbers 1,2,3 and 4 taken two at a time
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Question 1152611: how many even four digit numbers less than 8999 can be formed if the sum of the middle two numbers is 13.

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Question 1152872: How many different license plates with repetition involving 3 letters and 4 digits if 3 letters must appear together at the beginning or at the end of plate.
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Question 1152872: How many different license plates with repetition involving 3 letters and 4 digits if 3 letters must appear together at the beginning or at the end of plate.
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Question 1153122: A mutual fund has 20 stocks in its portfolio. On a given day 3 stocks move up, 14 stay the same and 3 move down. In how many ways could this happen?

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Question 1153090: A serial number on a 5$ bill includes 3 letters followed 7 digits. Assuming the digits are randomly assigned, what is the probability that the serial number will contain at least five even digits? What is the average number of even digits that will appear in a serial number?
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Question 1153201: n how many ways can a gardener pick 4 vegetable plants for his garden from 10 choices?
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Question 1153202: Compute: 10!
-------
6!X 4!

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Question 1153203: A company is looking to hire 5 people for identical positions. If there are 10 men and 8 women being interviewed, in how many ways can 2 men and 3 women be chosen?
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Question 1153221: How many three-digit numbers , in which no two digits are the same, can be made using the digits 0 1 3 5 8 if the numbers must be even and greater than 300
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Question 1153225: How many license plates begin with pqr
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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