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

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Question 329405: A bag contains 9 red balls numbered 1,2,3,4,5,7,8,9 and 6 white balls numbered 10,11,12,13,14,15. One ball is drawn from the bag. What is the probability that the ball is white, given that the ball is odd-numbered?
Click here to see answer by stanbon(75887) About Me 

Question 329389: How many ways can a 4-person subcommittee be selected from a committee of 9 people?
Click here to see answer by Alan3354(69443) About Me 

Question 329390: How many ways can a president, vice-preseident, secretary and treasurer be chosen from a committee of 9 people?
Click here to see answer by galactus(183) About Me 

Question 329406: Assuming there are 365 different birthdays, find the probability that of three people chosen at random:

a)no two will have the same birthday
b)at least two will have the same birthday

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Question 329407: An examination consists of 12 questions. If 10 questions must be answered, find the number of different orders in which a student can answer the questions.
Click here to see answer by stanbon(75887) About Me 

Question 329437: A bag contains 9 red balls numbered 1,2,3,4,5,6,7,8,9 and 6 white balls numbered 10,11,12,13,14,15. One ball is drawn from the bag. What is the probability that the ball is white, given that the ball is odd-numbered?
Click here to see answer by Fombitz(32388) About Me 

Question 329462: Compute the permutation 12P10
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Question 329470: Compute the permutation 8P2
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Question 329439: An examination consists of 12 questions. If 10 questions must be answered, find the number of different orders in which a student can answer the questions.

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Question 329984: John is getting his ATM card activated. He must select a password with 4 nonzero digits to be able to use his card. How many passwords are allowed if no digit may be used more than once?
Click here to see answer by stanbon(75887) About Me 

Question 330229: There are 12 people playing golf for 4 days. They play in groups of 4. How many combinations are there for them to get to play with everyone?
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Question 330718: Hanafuda is a japanese game that uses a deck of cards made up of 12 suits, with each suit having four cards. How many 7-card hands can be formed so that 3 are from one suit and 4 are from another?
Click here to see answer by stanbon(75887) About Me 

Question 330788: 1)In how many different ways can the 5 starters on the basketball team be assigned to their positions?
2)Using only the odd digits (1, 3, 5, 7, 9) how many different 3-digit numbers can you form (repetitions are allowed)?
3)The menu at the cafeteria lists 3 different sandwiches, 6 different drinks, and 5 varieties of chips. How many different sandwich/chip/drink meals are possible?

Click here to see answer by galactus(183) About Me 

Question 331470: how do you figure out
3=x^2-4x

Click here to see answer by mananth(16946) About Me 

Question 331658: Number of ways in which p positive and n negative signs may be placed in a row so that no two negative signs shall be together ?.
More than an answer I need the reasoning behind the answer.
Shammi

Click here to see answer by Edwin McCravy(20054) About Me 

Question 331835: You need to make a password for you computer that contains two letters and two numbers that cannot repeat. How many different passwords are possible?
Click here to see answer by jrfrunner(365) About Me 

Question 332156: what are the positive and negative roots of f(x)=x^2+4x-5
Click here to see answer by josmiceli(19441) About Me 

Question 332198: a committee of 3 people is to be selected from four women and five men the rules state that there must be at least one man and one women on the committee in how many ways can the committee be chosen
Click here to see answer by edjones(8007) About Me 

Question 332309: how many ways can 3 books be placed on a shelf if chosen from a selection of 7 different books?
Click here to see answer by nyc_function(2741) About Me 

Question 332426: You have a computer password that consists of 3 digits and 2 lowercase letters. How many passwords are there if no digit or letter can be repeated? What is the probability that you will enter the correct password?
Click here to see answer by Alan3354(69443) About Me 

Question 332800: a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many ways can those offices be filled?

Click here to see answer by jrfrunner(365) About Me 

Question 333144: how do you order data sets according to increasing standard deviations when have same mean without computations
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Question 333157: Determine the number of distinguishable words that can be formed from the letters of MASSACHUSSETTS, MISSISSIPPI, ALABAMA and TAWITAWI.
Click here to see answer by nyc_function(2741) About Me 

Question 333341: the number of ways in which 12 students can be equally divided into three group is
a)5775 b)7575 c)7755 d)none of these

Click here to see answer by Edwin McCravy(20054) About Me 
Question 333341: the number of ways in which 12 students can be equally divided into three group is
a)5775 b)7575 c)7755 d)none of these

Click here to see answer by biggstry(3) About Me 

Question 333324: There are 7 peole assigned in a queue. 5 men and 2 women. what is the probability that the 2 woman sit next to one another?
Click here to see answer by galactus(183) About Me 

Question 333367: In how many ways can the word SUNDAY be arranged.
How many arrangements begin with S and do not end with Y?

Click here to see answer by jrfrunner(365) About Me 

Question 333411: find the number of ways in which an arrangement of of 4 letters can be made from the word MATHEMATICS
a)1680
b)756
c)18
d)2454

Click here to see answer by jrfrunner(365) About Me 

Question 333570: in how many ways can five dashes and eight dots be arranged?
Click here to see answer by galactus(183) About Me 

Question 333681: 12 people are to be grouped into 3 clubs, 4 people in each club. Each club is then electing a president and a vice president. In how many ways can this be done?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 334108: What is the probability of rolling a 4 on a die?
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Question 334108: What is the probability of rolling a 4 on a die?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 334375: The number of plastic straws produced by a machine varies directly as the amount of time the machine is operating. If the machine produces 20,000 straws in 8 hours, how many straws can it produce in 50 hours?
Click here to see answer by rfer(16322) About Me 

Question 334373: If the local lunch shop offers chicken, tuna, and vegetable sandwiches on plain, onion, or garlic bagels, how many possible sandwiches can be served?
Click here to see answer by nyc_function(2741) About Me 

Question 334572: When seating guests at a round table, two arrangements are considered the same if each person has the same neighbor to the left and to the right in each arrangement. What are the number of unique arrangements when seating 2,3,4, and 6 guests at a round table.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 335036: H0w many different ways can a classroom of 10 students elect a president, vice president and treasurer?
Click here to see answer by stanbon(75887) About Me 

Question 335891: I know this is a combinatorial type of question, however, I am still baffled, your help on answering this question would be greatly appreciated.
In how many different sequences can we list 4 novels followed by 6 biographies if there are 8 novels and 10 biographies from which to choose?

Click here to see answer by jrfrunner(365) About Me 
Question 335891: I know this is a combinatorial type of question, however, I am still baffled, your help on answering this question would be greatly appreciated.
In how many different sequences can we list 4 novels followed by 6 biographies if there are 8 novels and 10 biographies from which to choose?

Click here to see answer by scott8148(6628) About Me 

Question 336158: when you round 19.36 what do you get

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Question 336158: when you round 19.36 what do you get

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Question 336569: Five students are to be photographed for the school paper. They are to be arranged standing side by side in a single row with the tallest student in the center and the two shortest students on the ends. If no two students are the same height, how many different arrangements are possible?
(A) Two (B) Four (C) Five (D) Six (E) Ten

Click here to see answer by edjones(8007) About Me 

Question 336662: In how many different ways can 5 people arrange themselves in the 5 seats of a car for a trip if only 2 of the people can drive?
(A) 12 (B) 15 (C) 26 (D) 48 (E) 120

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Question 337091: A teacher is to be assigned to teach 5 different courses in 5 different class periods on Mondays. If exactly one course meets each period, how many different assignments of courses to these class periods are possible for Mondays?
Click here to see answer by stanbon(75887) About Me 

Question 337608: Luis can select one or more of the following 3 topping for his ice cream: nuts, whipped cream, cherries. If he selects one or more, how many different combinations of toppings are possible? (Assume that the order of the toppings does not matter.)

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Question 337734: a true false quiz has 10 questions. how many different sets of answers are possible
Click here to see answer by Fombitz(32388) About Me 

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