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

Tutors Answer Your Questions about Permutations (FREE)

Question 922338: A teacher is making a test for a class of 127 students and wants to give everyone a different order of questions. The least number of questions that can be there???
Click here to see answer by ewatrrr(24785)

Question 922345: In how many ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column??
Click here to see answer by richard1234(7193)

Question 922407: How many committee of five with a given chairman can be selected from twelve persons?
Click here to see answer by ewatrrr(24785)

Question 922445: One math class has a greater number of students than the other. However both classes have a ratio of 5 boys and 6 girls. How is this possible? Give an example.
Click here to see answer by KMST(5328)

Question 922864: Please help!!! Q) By using the digits- 0,3,2,6,1 with repetition how many 3 digits numbers can be formed which are divisible by 3? Please describe your steps also
Click here to see answer by Edwin McCravy(20054)

Question 923412: A restaurant has 6 different desserts. How many ways can a person select two of the desserts?

Click here to see answer by jim_thompson5910(35256)

Question 923132: From a group of 10 boys and 12 girls, a committee of 4 students is chosen at random. What is the probability the four-person committee contains exactly 3 boys?

Click here to see answer by ewatrrr(24785)

Question 923419: Canadian postal codes consist of three letter (A-Z) and three digits (0-9), which alternate and start with a
letter. For example, L2P 3T3 is a postal code from St Catharines, Ontario.
a) How many postal codes can be created using this system?
b) How many postal codes could be created if no digit or letter can be repeated?
Click here to see answer by TimothyLamb(4379)

Question 923515: a group of 34 people contains 24 woman and 10 men. a committee of 6 is to be randomly chosen. what is the probability that
a) 4 woman and 2 men are chosen?
b)the committee will have all members of the same sex?
c)atleast one woman is chosen?
Click here to see answer by ewatrrr(24785)

Question 923608: A bag contains 5 red marbles, 1 green one, 1 lavender one, 1 yellow, and 3 orange marbles.
How many sets of four marbles include none of the red ones?

Click here to see answer by stanbon(75887)

Question 923751: in how many race 11 players can be selected out of team 15 players when
1-one particular player is always selected.
2-one player is never selected.
3-there are no restricted.
Click here to see answer by stanbon(75887)

Question 923795: Solve qu ◻ + ◻ + ◻ + ◻ + ◻ = 30 fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15) U can repeat the number also units may differ
Click here to see answer by richard1234(7193)

Question 923880: 1/ Find the number of different ways to draw a 5-card hand from a deck to have the following combinations:
a/ a heart flush
b/ two cards of one suit and three of another suit
c/ two cards of one value and three of another value
2/How many 4-letter word sequences consisting of two vowels and two consonants can be made from the letters of the word PHOENIX if no letter is repeated?
I already solve these problem, but I dont know whether it correct or not.
Here is my answer:
1/ a/13C5 = 1287
b/13C2 * 39C3 = 22308
c/4C2 * 50C3 = 117600
2/ 3C2*4C2 = 18
If different please help me to show the answer step by step.
Please help me. I very appreciate !!!

Click here to see answer by ewatrrr(24785)

Question 923981: 1/A batch contains 10 transistors of which three are defective. If three are chosen, in how many ways can one get two defective?
2/ Three marbles are chosen from an urn that contains 5 reds, 4 white, and 3 blue marbles. how many samples if we choose all three of the same color?
I very appreciate your help !!!
Click here to see answer by jim_thompson5910(35256)

Question 924181: Please help me solve this:
How many different 10 letter words (real or imaginary)can be formed using the following letters? P R K T S V R J P F
Click here to see answer by ewatrrr(24785)

Question 924312: there are 19 students in a fraternity. in how many ways can a committee of 11 students be selected.
Click here to see answer by TimothyLamb(4379)

Question 924419: How many codes consisting of a letter followed by 3 digit can be made if no digit can be used more than once?
Click here to see answer by Fombitz(32388)

Question 924409: A group of 12 people need to form a line. The line will consist of exactly 9 of the people. Person X and Person Y have to be either third or fourth in line. How many different orders are possible?
Click here to see answer by Theo(13342)

Question 924428: In how many ways can 5 different people be arranged in a car which has five vacant seats?
Click here to see answer by stanbon(75887)

Question 924452: A 4 person bobsled team will be chosen from a group of 9 athletes . How many different bobsled teams can be formed
Click here to see answer by Alan3354(69443)

Question 924495: [in how many different ways can you arrange 8 students who want to sit in a circle]
Click here to see answer by TimothyLamb(4379)

Question 924020: A coin is biased so that the probability that it lands showing heads is 2/3.The coin is tossed three times.Find the probability that:
a)No heads are obtained.
b)More heads than tails are obtained.

#PleaseHelp
Click here to see answer by Fombitz(32388)

Question 924412: A manufacturing plant produces a special kind of lightbulb.
Each lightbulb produced has a 0.040 probability of being defective.
Five lightbulbs are chosen at random from the production line.
To the nearest thousandth, what is the probability that exactly two of the
five bulbs will be defective?
Click here to see answer by Fombitz(32388)

Question 924522: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys
Click here to see answer by stanbon(75887)

Question 924569: The team bought 10 shirts to split among it's
Members. Each member will get x shirts.
Write an expression that shows how many people
Are on the team.

Click here to see answer by ewatrrr(24785)

Question 924557: How many numbers of 4 digits can be formed from the numbers 1,2,3,4,5,6, when eaach of them can be repeated up to six times
Click here to see answer by ewatrrr(24785)

Question 924801: The value of 9C2
Click here to see answer by ewatrrr(24785)

Question 924801: The value of 9C2
Click here to see answer by MathLover1(20849)

Question 924822: Consider the numbers 2, 3, 5, and 9. If repetition is allowed, how many three digit numbers can be formed such that they are all odd?
Click here to see answer by ewatrrr(24785)

Question 924839: Consider the numbers 2, 3, 5, and 9. If repetition is not allowed, how many three digit numbers can be formed such that they are greater than 500?
Click here to see answer by ewatrrr(24785)

Question 924840: How many two-digit numbers can be formed from the integers 5, 6, 7, 8 and 9 without any digit repeated if they are less than 70?
Click here to see answer by ewatrrr(24785)

Question 924844: How many two-digit numbers can be formed from the integers 5, 6, 7, 8 and 9 without any digit repeated, if they are less than 70?
Click here to see answer by ewatrrr(24785)

Question 924843: How many two-digit numbers can be formed from the integers 5, 6, 7, 8 and 9 without any digit repeated if they are all even?
Click here to see answer by ewatrrr(24785)

Question 924848: How many two digit numbers can be formed from the integers 5,6,7,8, and 9 without any digit repeated if they are all odd?
Click here to see answer by ewatrrr(24785)

Question 924856: In how many ways can the Miss Philippines , the first runner up, and the second runner up be chosen from 5 finalists?
Click here to see answer by stanbon(75887)

Question 924855: Consider the numbers 2, 3, 5, and 9. If repetition is not allowed, how many three digit numbers can be formed such that they are all even?
Click here to see answer by ewatrrr(24785)

Question 924852: Consider the numbers 2, 3, 5, and 9. If repetition is not allowed, how many three digit numbers can be formed such that they are all odd?
Click here to see answer by stanbon(75887)

Question 924859: How many possible car plates can be formed if the first three symbols are letters of the English alphabet and the next three are the numbers from 0,1,2,... 9. Assume that repetition is allowed.
----
Thanks a lot for who will answer this :( :)
Click here to see answer by stanbon(75887)

Question 924871: A high school graduate was allowed by his parents to choose the course and the school for his college studies from the list of 4 courses and 5 schools given him. How many numbers of ways can he do it?
Click here to see answer by ewatrrr(24785)

Question 924877: A high school graduate was allowed by his parents to choose the course and the school for his college studies from the list of four courses and five schools given him. How many numbers of ways can he do it?
Click here to see answer by TimothyLamb(4379)

Question 924866: [How many two digit numbers can be formed from integers 5,6,7,8, and 9 without any digit repeated if the two digit numbers must all be less than 70?]
Click here to see answer by TimothyLamb(4379)

Question 924868: How many two digit numbers can be formed from integers 5,6,7,8, and 9 without any digit repeated if they are less than 70?
Click here to see answer by TimothyLamb(4379)

Question 924865: A high school graduate was allowed by his parents to choose the course and the school for his college studies from the list of four courses and five schools given him. How many numbers of ways can he do it?
Click here to see answer by TimothyLamb(4379)

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