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Question 1000329: in how many ways can a panel of 12 jurors and 2 alternates be chosen from a group of 27 perspective jurors?
Click here to see answer by stanbon(75887)

Question 1000939: How many different ways can a club choose a committee of 4 from 15 members?
Click here to see answer by Alan3354(69443)

Question 1001515: Simplify the expression
(3n+2)!/(3n-3)!
Click here to see answer by Theo(13342)

Question 1001520: Calculate each of the following. Your answer must be a number
710!/60!650!
200!/165!10!
608!-605!/606!
Please give 7 places after your decimal point if you use scientific notation.
Click here to see answer by stanbon(75887)

Question 1001499: A Discrete Mathematics student comes from the village of KILLYIKYAKYODLE. As an hilarious jape, on the way home from a late-night study session, she decides to rearrange the letters on one of the sign-posts.
How many arrangements of the letters in KILLYIKYAKYODLE are possible?
i got 15!/3!*2!*3!*2! for this
Of these arrangements, how many have all the L�s together?
Of these arrangements, how may have all the letters in alphabetical order?
Click here to see answer by KMST(5328)

Question 1001783: I run a golf pool. 150 pro golfers are listed and divided in 30 boxes of 5 players.
Each entrant must pick one player from each box (30 picks). We have 192 entrants playing the pool this year and two entrants have identical picks. What are the odds of that assuming no obvious bias for golfer ability?
Thanks,
Dave
Click here to see answer by solver91311(24713)

Question 1002016: Write the following expression without using the factorial symbol.
nC3 + nC2 + nC1
The formula given is n!/r!(n-r)!.
My teacher was saying the answer is n^3 + 5n/6.
Im very curious as to how the question is written in each step. I have tried many times to get an answer similiar to this. Thank you so much in advance!!
Click here to see answer by Boreal(15235)

Question 1002205: given 4 distinct objects, if you take 2 at the time, the possible number of combinations is equal 2
Click here to see answer by fractalier(6550)

Question 1002206: given 4 distinct objects, if 2 objects are taken at the time, the possible number combinations is equal 2. True or false?
*note: I used the combination formula nCr and I got 2. So "False." Just wanted to be sure if it was the right application I made. Thank you
Click here to see answer by Theo(13342)

Question 1002588: please help to solve this question
in how many ways can 8 pupils sit in a row if two must not sit near each other
Click here to see answer by Theo(13342)

Question 1002674: i have 49 balls numbered 1-49.I need to pick six balls from them. Can i get the different combinations for a lottery
Click here to see answer by fractalier(6550)

Question 1003354: Answer this . 10/8!3!. Permutation
Click here to see answer by ikleyn(52776)

Question 1003355: Answer this . 9!-6!/5!
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Question 1003459:
Click here to see answer by fractalier(6550)

Question 1003465: Suppose that 3 students who ride together miss a mathematics exam . they decided to lie to the instructor by saying that the car had a flat tire. the instructor separate the students and ask each of them which tire was flat . the students who did not anticipate this select their answers independently and at random . find the probability that the students get away with their deception?

Click here to see answer by fractalier(6550)

Question 1003463: Out of 16 players a team of 11 players is to be selected how many teams can be formed if two particular players are to be included in each team?
Click here to see answer by fractalier(6550)

Question 1003467: How many ways can 6 people be lined up to get on the bus.
If certain 2 people refuse to follow each other how many ways are possible?
Click here to see answer by KMST(5328)

Question 1003674: How many different five letter passwords can be formed from the lettersA,B,C,D,E,F,G and H if no religion of letters is allowed?
Click here to see answer by stanbon(75887)

Question 1003694: during tryouts for a pep band, there were 4 trumpet players, 12 drummers, and 7 saxophonists. how many ways can the jazz band be chosen so there are 2 trumpet players, 5 drummers, and 3 saxophonists?
Click here to see answer by Boreal(15235)

Question 1003775: if a dice is thrown 5 times, what is the chance that an even number will come up exactly 3 times?

Click here to see answer by stanbon(75887)

Question 1004398: Seven managers and eight sales representatives volunteer to attend a trade show. Their company can only afford to send five people. In how many ways could they be selected:
a) without any restrictions?
15C5 = 3003 ways
B) if there must be at least one manager and one sales representative chosen?
tried doing 7C1 = 7 + 8C1 = 8 + 13C3 = 286 but not the right answer
**answer should be 2926
Click here to see answer by stanbon(75887)

Question 1004586: You need to arrange 7 of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
Click here to see answer by fractalier(6550)

Question 1004584: In a plan for area codes , the first digit could be any number from 0 through 6 , the second digit was either 1,4 or 7. With this plan how many different area codes are possible?
Click here to see answer by fractalier(6550)

Question 1004631: There are five performers who will present their comedy acts this weekend at a comedy club.How many different ways are there to schedule their appearances?
Click here to see answer by fractalier(6550)

Question 1004639: For a segment of a radio show , a disk jockey can play nine records. If there are 12 records to select from, in how many ways can the program for this segment be arranged?
Click here to see answer by fractalier(6550)

Question 1004637: In a race in which 9 automobiles are entered and there are no ties,in how many different ways can the first three finishers come in ?
Click here to see answer by fractalier(6550)

Question 1004638: In how many distinct ways can the letters of the word SEEDS be arranged?
Click here to see answer by fractalier(6550)

Question 1004857: A department store has 8 doors. In how many ways can one enter and leave the store
a.) by any door?
b.) without passing through the same door twice?
Click here to see answer by Alan3354(69443)

Question 1004855: In a certain election, there are 6 candidates for president and 8 candidates for vice-president. In how many different ways may the election turn out?
Click here to see answer by fractalier(6550)

Question 1004852: Suppose a car plate contains three distinct letters followed by three digits with first digit not zero. How many different car number plates can be printed?
Click here to see answer by fractalier(6550)

Question 1004856: In a medical patients are classified in 8 ways according to whether they have blood type AB+, AB-, A+, A-, B+, B-, O+, O-, and also according to whether their blood pressure is low, normal or high. Find the number of ways in which a patient can be classified.
Click here to see answer by fractalier(6550)

Question 1004853: A drug for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. In how many different ways can a doctor prescribe the drug for a patient suffering from asthma?
Click here to see answer by fractalier(6550)

Question 1004859: There are 16 tables at a certain restaurant. The tables can seat either 3, 4 or 6 people. Altogether, the restaurant has 72 seats. The tables with 3 or 4 seats can seat 36 people altogether. How many tables with 3 seats exist at this restaurant?

Click here to see answer by ankor@dixie-net.com(22740)

Question 1005221: how many triangles can be formed from 10 points in a plane of which no three points are collinear
Click here to see answer by ikleyn(52776)

Question 1005283: Suppose a car plate contains three distinct letters followed by three digits with the first digit not zero. How many different car number plates can be printed?
Click here to see answer by Alan3354(69443)

Question 1005287: How many different arrangements of seven distinct books can be made on a shelf with seven space for seven books?
Click here to see answer by rothauserc(4718)

Question 1005536: A full house consists of three of one kind and two of another kind. You are dealt a hand of five cards from a standard deck of 52 playing cards. Find the probability of being dealt a full house consisting of three kings.
Click here to see answer by stanbon(75887)

Question 1005636: seven boys and seven girls went to watch a movie how many ways can they be seated if
a. they arranged themselves in a row
b. the boys are sit together and so with the girls
c. the boys and the girls sit alternately

Click here to see answer by ikleyn(52776)

Question 1005629: From a deck of 52 cards (no jokers). how many hands contain 4 of a kind(4 cards of one suit).
Click here to see answer by fractalier(6550)

Question 1005557: A company's board of directors wants to form a committee of
2 of its members. There are 7 members to choose from. How many different committees of 2 members could possibly be formed?
Click here to see answer by fractalier(6550)

Question 1005929: In a certain city, there are four streets going north-south and seven streets going east-west. How many street paths start at the southwest corner of the city, end at the northeast corner of the city, and have the shortest possible length?
Click here to see answer by AnlytcPhil(1806)

Question 1005928: In a certain city, there are four streets going north-south and seven streets going east-west. How many street paths start at the southwest corner of the city, end at the northeast corner of the city, and have the shortest possible length?
Click here to see answer by AnlytcPhil(1806)

Question 1005889: In how many ways can 8 chairs be arranged in a row if there are 3 blue chairs, 4 red chairs and 1 balck chair? Show your solution

Click here to see answer by AnlytcPhil(1806)

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