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

Tutors Answer Your Questions about Permutations (FREE)

Question 936657: in a chess competition , some boys and some girls are involved, every students have to play a
game with other students.in 45 game both the player are girl , in 190 game both the player are boys. count the number of game in which one player is boy and one is girl
Click here to see answer by Danielshinmath(31)

Question 936880: how many word can be formed by taking four letter at a time out of letter of the word MATHEMATICS
i tried the method: c(11,4)/2!2!2!
. . . but ans didnt match. . . .
plz give suitable explanation
Click here to see answer by srinivas.g(540)

Question 936916: find the sum of number of sides and number of diagnol of a hexagon
using permutation & combination
Click here to see answer by srinivas.g(540)

Question 937159: How many meaningful English words can be formed with the letters PCYO
using all the letters, but each letter only once in each word?
Click here to see answer by ewatrrr(24785)

Question 937071: A subcommittee of 5 representatives is to be selected from 10 men and 12 women members of the finance committee. IN how many ways can the subcommittee be selected?
a. So that it consists of 3 men and 2 women
b. So that at least one man is in the subcommittee
c. So that at least one women is a member of the subcommittee
d. So that each sex is represented
Click here to see answer by ewatrrr(24785)

Question 937069: A class consists of 20 boys and 25 girls. In how many ways can a selection be done in a debate team consisting of 7 members?
a. If at least 2 boys are in the debate team
b. If at least 3 girls are in the team
c. If it consist of 4 boys and 3 girls
Click here to see answer by ewatrrr(24785)

Question 937124: what is 7 fives=
Click here to see answer by Alan3354(69443)

Question 937520: I have a problem.
I am working on combinations. This is my problem:
"Mrs. Marshall has 9 different history books. How many ways can they be arranged on a shelf?". My math book says that the answer is 362,880 but I don't see how they got that. I figure that 9C9= 9!/9!*0! would equal 1. And that's even what your website said too since the 9! and the 9! would cross each other off. But, that's not my math book's answer.
Any help would be appreciated!
Click here to see answer by ewatrrr(24785)

Question 937511: how many way a cube be painted with 2 different color so that each color is used 3 face
Click here to see answer by ewatrrr(24785)

Question 937511: how many way a cube be painted with 2 different color so that each color is used 3 face
Click here to see answer by Edwin McCravy(20054)

Question 937438: In how many ways can two students be chosen as monitors, one from the girls and another from the boys, from a class of 36 if there are 18 girls and 18 boys in the class?

Click here to see answer by ewatrrr(24785)

Question 937395: A school organization consists of 5 teachers, 7 parents, and 6 students. A subcommittee of this group is formed by choosing 2 teachers, 3 parents and 3 students. How many different subcommittees can be formed?
Click here to see answer by ewatrrr(24785)

Question 937622: in how many way five chocolate can be chosen from an unlimited number of cadboury , fivestar & perk chocolates
Click here to see answer by MathsPal(2)

Question 937533: The number 105840 can be expressed in prime factors as 2^4 x 3^3 x 5^1 x 7^2. Excluding 1&105840, how many positive integers are factors of 105840?
Click here to see answer by richard1234(7193)

Question 937534: In how many ways can five different books be distributed among ten people if each person can get any number of books?
Click here to see answer by richard1234(7193)

Question 937817: A student has purchased food to last him 2 weeks
4 tins of beans
3 tins of peas
5 tins of tuna
2 tins of sardines
Can many different ways can the food be ordered if he opens one can each day.
Is it 14!
Click here to see answer by Theo(13342)

Question 937824: suppose you have a currency named miso in three denominations 1 miso , 50 miso and 10 miso. in how many ways can you pay a bill of 107 miso
a) 16
b) 17
c)18
d)19
e)20

Click here to see answer by Edwin McCravy(20054)

Question 937816: How many groups of 4 people can be made from 9 people ?
Click here to see answer by Edwin McCravy(20054)

Question 937632: how many 4 digit number divisible by 5 can be formed with digits 0,1,2,3,4,5,6,6
Click here to see answer by Edwin McCravy(20054)

Question 937902: using permutations, how many two letter groups can you get using the word CAT?
Click here to see answer by MathLover1(20849)

Question 937765: There are 10 chairs around a table. If they are numbered from 1 to 10, how many ways can they be arranged if the even numbers must be kept together?
Click here to see answer by Edwin McCravy(20054)

Question 937914: a group of math students are given the word QUATTUORDECILLION and challenged to find how many different ways all the letters can be arranged
Click here to see answer by Edwin McCravy(20054)

Question 937649: diffrence between combination and permutatio
Click here to see answer by Edwin McCravy(20054)

Question 938265: I need to come up with an computation where i split $100,000. I need for each boy (b) to make 75% more than each girl (g). If i have 65 boys and 34 girls what would the formula look like so that i could put the numbers in so that this works out?
Click here to see answer by ankor@dixie-net.com(22740)

Question 938348: I have a container with balls of 3 different colors. (for this let's assume the number of balls within the container is unlimited and all colors are equally distributed).
I need to pick up 6 balls from the container.
How do I calculate the number of possible combinations I can get?
Appriciate the help.
Click here to see answer by Fombitz(32388)

Question 937392: 7 girls and 5 boys are to be seated around a table. Find the number of ways if 3 particular girls must be together, and 2 particular boys must not be adjacent?
Click here to see answer by Edwin McCravy(20054)

Question 938690: How many different ways can you arrange the fo?
llowing four digit number 3239
thank you
Click here to see answer by Edwin McCravy(20054)

Question 937770: four flags of different colours are given.How many signals can be given by these flags
Click here to see answer by Edwin McCravy(20054)

Question 938700: How do you solve the following combinations question?
How many ways can a football team who plays 10 games have 5 wins, 4 losses, and 1 tie?
Click here to see answer by ewatrrr(24785)

Question 938718: how many ways can 7 students be chosen out of 21
Click here to see answer by ewatrrr(24785)

Question 938805: How many different 4-letter words can be arranged from letters from the word
BRIDGE?
Click here to see answer by ewatrrr(24785)

Question 938989: A school needed to pick a team of eleven children for a spelling competition. They had to select five boys and six girls from a total of ten boys and eleven girls. How many different teams could they have chosen?
Click here to see answer by stanbon(75887)

Question 938998: brad's password must be five digits long, use the number 0-9 and the digits must not repeat. What is the maximum number of different passwords brad can have
Click here to see answer by srinivas.g(540)

Question 939054: Why do we divide (n-1)! by 2 in key ring problems in circular permutation?
Click here to see answer by mathmate(429)

Question 939068: A five member committee is being formed from group of 9 sophomores and 12 seniors. How many committees can be formed by the given condition?
a. all sophomores
b. 3 sophomores, 2 seniors

Click here to see answer by ewatrrr(24785)

Question 939089: A popular video game is having a competition for the best gamer. They are going to take the top 20 gamers that will fight for the top 5, how many ways can 5 gamers be selected for the competition?
Click here to see answer by ewatrrr(24785)

Question 939179: substitution 2a-1 when a = 6
Click here to see answer by Fombitz(32388)

Question 939185: Jayden and Alexa were asked if 6C2 + 6C3 = 7C3 is true. Their calculations showed it was not true, but they both made mistakes in their calculations. Explain and correct their mistakes. I already corrected jaydens mistakes, but i cant figure out how to fix Alexa's. So please help. Alexa added the fractions by using the LCD (least common denominator).
Step 1 6! 6!
--- + ---
2!4! 3!3!
Step 2 6! 4*6!
---- + -----
4*3!3! 4*3!3!
Step 3 5*6!
------
4*3!3!
Step 4 7! 7*6!
---- = -----
3!4! 4*3!3!
Step 5 5*6! 7*6!
----- not equal -----
4*3!3! 4*3!3!

Click here to see answer by stanbon(75887)

Question 939365: Janice wants to select 2 books to read from a list of 9 books. How many different pairs of books can she choose?
Click here to see answer by srinivas.g(540)

Question 939395: SOLUTION: 1 3 5 7
9 11 13 15 17
19=100 , To Make
50 Use Only 5
Digits ...? What
The 5 Digits
Click here to see answer by mathmate(429)

Question 939469: Given that:
a+b(1+x)^3 + c(1+2x)^3 + d(1+3x)^3 = x^3 for all values of x, find the values of the constants a,b,c and d.
This is from a section of a textbook on binomial expansion.
The answer given is a=-1/6, b=1/2, c=-1/2 and d=1/6
I think to solve this question I have to try something like:
1^(3) + 3*1^(4) *(x) + ...but I can't see how to get the constants from this.
Any help given would be greatly appreciated.
Thanks
Click here to see answer by ewatrrr(24785)

Question 939429: In how many ways can a 6 person neighborhood watch be selected from 12 men and 8 women
Click here to see answer by ewatrrr(24785)

Question 939593: Use the definition
(n)
(r) = n!/ r!(n-r)! to prove that
(n) = (n )
(r) (n - r)
This is from a binomial theorem part of a textbook.
The n and r are in the same bracket with the letter n on top of r.
Also (n and n-r) are in the same bracket too with n-r being under n.
Sorry I wasn't sure how to write this question properly on a pc.
Any help on this would be appreciated.
Click here to see answer by Edwin McCravy(20054)

Question 939900: In how many ways can you have a snack if you find an apple, a banana, an orange, a chocolate bar and a cookie on the kitchen counter?
The answer is supposed to be 31 but I don't know how to get that answer....
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