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Question 859806: eight science students are divided into two groups one containing 2 students and the other containing 6 students. how many ways can this grouping be done
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Question 860443: There are 17 possible questions on a test. 6 will appear on the test, two of which must be answered. How many questions must be prepared for?
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Question 859097: four married couple went to attend a concert in how many ways can they be arranged:-(a) if they sit together (b)if there are no restrictions (c)if each wife does not sit next to her husband
Click here to see answer by Edwin McCravy(20054)

Question 860619: In how many ways can we select a committee of 3 boys and 2 girls form a class of 12 boys and 16 girls?

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Question 860540: Let's say I have 15 Soccer games, total 30 teams, and there can only be three results, win, draw or lose. How many combinations can there be for 15 games? Thank-you very much.

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Question 860489: Find the number of seating arrangements of fifteen baseball players on a bench if the two oldest players and the four youngest players must sit together.
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Question 860648: You are taking a test that has 5 true/false questions. If you answer each question with either a True or a False and leave none of them blank, in how many ways can you answer the whole test?
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Question 860823: In how many ways may a group of 10 people be seated in a row with exactly 10 chairs
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Question 860976: A study group of 18 students is to be split into three groups of six students each. In how many ways can this be done?
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Question 861048: how many license plates are possible if they each have 2 letters and 4 digits assuming that the letters cannot be repeated but the digits can repeat
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Question 861047: how many diffrent ways can a test be answered if it has 5 true-false questions and 7 multiple choice queestions ith four hoices each
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Question 861055: how many committees of 8 people can be selected from 10 men and 16 women if their committee must have 4 men and 4 women
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Question 861317: There are 10 students in a class: 8 boys and 2 girls.
If the teacher picks a group of 5 at random, what is the probability that everyone in the group is a boy?
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Question 861330: The diamond suit from a standard deck of 52 playing cards is removed from the deck, shuffled, and laid out in a row. Determine the number of possible arrangements. A) the first card is the ace, B)the first card is a face card.
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Question 861049: how many ways could the gold silver and bronze medals be awarded in a contest that has 10 contestants
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Question 861170: solve formula for the variable
A=Rr/R+r rolve for r

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Question 861781: Solve choose 2 out of 5 pictures for 2 walls
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Question 861757: How many different sets of 6 questions for a test can be chosen from a file containing 22 questions?
Click here to see answer by richwmiller(17219)

Question 861860: i have 16 flowers plan on using 5 differnt ones. how many different selections of 5 can i make?
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Question 861886: A bucket contains 6 black, 4 white and 5 green balls. In how many ways can 3 balls be selected if at least 2 balls are black?
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Question 862079: if a seventh grade class of 28 students, there are 16 girls and 12 boys. if one student is ramdomly chosen to win a prize, what is the probability that a girl is chosen?
Click here to see answer by rfer(16322)

Question 862168: there are 12 seat in a bus. how many ways can 10 people occupy them?
Click here to see answer by Theo(13342)

Question 862221: There are 20 students, 11 from Grade 12 and 9 from Grades 9-11. How many ways can a 6 member student council be formed if:
a) There are no restrictions
b) There must be 3 Grade 12's and 3 from the other grades
c) There can only be one or two Grade 12's
Thanks!
Click here to see answer by ewatrrr(24785)

Question 862290: A 12-member committee is going to choose a chairman, vice-chairman, and secretary.
In how many ways can these people be chosen?
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Question 862302: At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made?
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Question 862518: An environmental agency will randomly select four houses from a block containing twenty houses and test them for lead paint. In how many ways can the selections be made?
Click here to see answer by Fombitz(32388)

Question 862625: in an engineering shop there are 58 employees.of the 58 employees are fully trained and capable of using a lathe to lathe to machine helical gear. lathe require calculating the settings prior assembling the rig on the lathe, adjusting and setting the ring on the lathe and supervising the gear cutting once the rig has been assembled.of the 54 employees:36 are capable of calculating the settings ;30 are capable of adjusting and setting the ring.25 are capable of supervisor the gear cutting;11 are capable of both calculating the settings and supervisor and setting the the rig.9 are capable of both calculatting the setting and supervising the rig cutting;12 are capable of adjusting and setting the rig and supervising the gear cutting? how many employees are capable of performing the three tasks?
Click here to see answer by ewatrrr(24785)

Question 862615: I) let A=(6 9)and (1 2)compute A^2,AB,BA
( -4 -6) (-1 0)
II)if A= (3 -1 4)and B=(1 0 -1).compute 5A,3A-2B
(2 0 6) (0 3 2)
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Question 862613: Write the number of permutations in factorial form. Then simplify. J K L M N O P
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Question 862607: find a,b and c if (a b c)+c a b)=(3 2 c)

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Question 862513: A student is applying for eight jobs in 8 separate states. All the interviews will require her to take flights to the destinations. She schedules her first interview in her home state of Florida and the last interview in Colorado. In how many ways can she arrange the interviews so she can do it all without returning home between any of the interviews?
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Question 862515: You want to buy eight identically priced CD's but you only have enough money to buy five. In how many ways could you walk out of the shop having paid for five CD's?
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Question 862789: If I have 4 appetizers, 6 entrees, 3 side dishes and 5 desserts. How many different meals can be made by selecting one item from each course?
I have a couple of answers but want to make sure I am figuring this out right.
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Question 862710:

In a class of 18 students, three will be selected as representatives for the physics competition. How many ways can these three students be selected.

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Question 862822: Christine has six cocktail dresses. she needs to pack 4 of these dresses for her vacation. in how many ways can she do this
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Question 862817: A club with 35 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?
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Question 862871: i need the solve of 15-puzzle by steps in AI for this(11,9,4,15,1,3, ,12,7,5,8,6,13,2,10,4)
from first row left start with 11
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Question 859719: how many numbers each lying between 10 and1000 can be formed with digits 2 ,3,4,0,8,9 using only once????

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Question 863055: There are 6 performers who will present their comedy acts this weekend. One of the performers insists on being the last stand-up comic of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances?
I tried to use the permutations formula where n=6(total performers) and r=5(other performers to arrange)
I came up with 720 ways.
Am I using the right formula? And steps?
Help please.
Click here to see answer by richwmiller(17219)

Question 863069: the playbook for the quarterback of the cowboys has 45 plays. How many different ways could the quarterback select 4 plays for the first 4 downs
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Question 863177: Permutation or Combination:
Selecting a president, vice president, and treasurer of the 100-student class.
How do I know if it's permutation or combination?
Click here to see answer by jim_thompson5910(35256)

Question 863325: how many different 10-person committees can be selected from a pool of 26 people?
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Question 862687: Prove a permutation of 4 letters does not have 40 distinct elements but a permutation of 5 letters has 50 distinct elements.
Click here to see answer by richard1234(7193)

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