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Question 781581: hi good morning!

I would like to know how to answer these following problems. thank you
1. In how many ways can 7 people be seated in a round table such that a particular girl G1 must not be seated together?
2. 8 boys and 5 girls are to be seated around a table. Find the number of ways that this can be done in each of the following,
a. there are no restrictions
b. no 2 girls are adjacent
c. all girls form a single block
d. a particular girl G is adjacent to two particular boys b1 and b2
3.ten chairs have been arranged in a row. seven students are to be seated in seven of them so that no two students share a common chair. Find the number of ways this can be done if no two empty chairs are adjacent?
4. In how many ways can seven boys and two girls be lined up in a row such that the girls must be separated by exactly three boys?

Thank you so much...
Click here to see answer by psbhowmick(878)

Question 782261: In math class, there are 24 students. The teacher picks 4 students to help do a demonstration. How many different groups of 4 could she have chosen?

Click here to see answer by jim_thompson5910(35256)

Question 781767: in how many ways can 2,2,3,3,3,0 and 5 can be arranged to make it a 5 digit number
Click here to see answer by Edwin McCravy(20054)

Question 782773: In how many ways can you write 3 letters on a tag using each of the letters A, B, C, D, and E without
repetition?
Click here to see answer by oscargut(2103)

Question 782760: you have 5 tickets to a Texans game. in how many ways can you take your best friend and 3 other friends from a group of 6 friends
Click here to see answer by edjones(8007)

Question 782755: you have 5 tickets to a Texans game. in how many ways can you take your best friend and 3 other friends from a group of 6 friends
Click here to see answer by edjones(8007)

Question 782864: Assume that you have a committee
of 11 members, made up of 5 men and 6 women.

In how many ways can the 3 tasks be assigned so that both
men and women are given assignments?
Click here to see answer by oscargut(2103)

Question 782866: a committee of students is made up of 6seniors and juniors. if there are 6 seniors and 8 juniors yo pick from and we need 3 from each, how many ways can the committee be made?
Click here to see answer by oscargut(2103)

Question 783388: Which expression shows that 11 + 7 = 5 + 13?
A.
(5 + 6) + 7 = 5 + (6 + 7)
B.
6 + 6 + 6 = 18
C.
5 + 9 + 4 = 6 + 7 + 5
D.
(11 + 4) + 3 = (5 + 7) + 6
Click here to see answer by oscargut(2103)

Question 783388: Which expression shows that 11 + 7 = 5 + 13?
A.
(5 + 6) + 7 = 5 + (6 + 7)
B.
6 + 6 + 6 = 18
C.
5 + 9 + 4 = 6 + 7 + 5
D.
(11 + 4) + 3 = (5 + 7) + 6
Click here to see answer by stanbon(75887)

Question 783558: A product is formed by arranging 5 different letters from the collection (B, H, Q, T, W, Z) one after another.
a) How many different such product codes are there? My answer- 720
b) How many of them contain the letter W?
If you could please just help me get started with solving part B I would really appreciate it!! Thanks!
Click here to see answer by solver91311(24713)

Question 783909: a 10 person student council will be selected from 18 students at a school. how many possibilities are there for this student council?
Click here to see answer by xinxin(76)

Question 784469: n! / r! = n(n-1)(n-2)....(r+1)
Click here to see answer by edjones(8007)

Question 784633: in how many different ways can the letter of the word 'SCHOLAR' be arranged?
please explain it also
Click here to see answer by edjones(8007)

Question 784713: A nine person staff of consultants is assigned to projects in teams of three. How many ways can the first team be chosen where the first person chosen is the leader and the second is the assistant leader?
Click here to see answer by stanbon(75887)

Question 785004: How many seven-digit numbers are there when 0 and 1 are not a leading number?
Click here to see answer by edjones(8007)

Question 785054: How many ways can you get 4 Jacks and 1 black card when drawing 5 cards?
Click here to see answer by edjones(8007)

Question 785124: how many 4 digit numbers are formed greater than 3000 using 2,2,3,3,4,4,4,4?
Click here to see answer by Edwin McCravy(20054)

Question 785333: A science project consist of three letters followed by three digits and then three more letters. No repetition allowed in the groups, letters in the first group of three may occur also in the last group of three. How many distinct identification numbers are possible?
Click here to see answer by edjones(8007)

Question 785284: Let the world telecommunication body decides to follow the norm to assign a number.
The country code is made up of digits 0 to 9 that do not repeat.
How many country codes can be generated?
There are 273 countries on the globe at present. Do you have any logical suggestion to use up all options and make the coding the as effectively used as possible?
The area code is made up of digits 0 to 9 that do not repeat.
How many area codes can be generated?
There are 50 states in US; 22 provinces, 7 regions and 4 municipalities in China and 28 states, 6 union territories and Delhi are in India.
Do you have any logical suggestion to use up all options and make the coding the as effectively used as possible?
The sub-area code uses 3 digit number, with or without repetition.
The special code uses digits on phone dial code for ease to remember. For example, a TAXI company can have these digits as 8294.
Do you have any logical suggestion for two or more 4 letter words having the same number code?
How many 7 digit codes are possible?

Click here to see answer by edjones(8007)

Question 785493: Suppose that we have 20 girls and 10 boys. How many ways can we pick 5 girls and 3
boys?
Click here to see answer by oscargut(2103)

Question 785651: How many ways can 5 different books be arranged if one book cannot be at either ends??
Click here to see answer by xinxin(76)

Question 786777: There are 6 resturants ad 4 movies. How many ways can a meal and a movie be chosen?
Click here to see answer by Alan3354(69443)

Question 786856: There are 8 marbles in a bag if they are all different colors , in how many ways can 4 marbles be chosen?
Click here to see answer by edjones(8007)

Question 786898: How many permutations of the numbers 1, 2 , 3, 4, and 5 have the 4 and 5 separated by exactly
a. 1 other number?
b. 2 other numbers?
c. 3 other numbers?
for a. I tried 3x2x1=6 times 2 (switch 4 and 5 around) =12 and then 12 x 3 =36 permutations.
I'm not sure if that's correct, but I really need help with part b and c because I'm stumped. I've tried and tried but no luck :(
Click here to see answer by xinxin(76)

Question 787103: Billy has 41 baseball cards, and Scottie has 37. How many ways can Billy trade 2 of his cards for 2 of Scottie's cards
Click here to see answer by xinxin(76)

Question 787710: Four students are to be chosen from a group of 10 to fill the positions of president, vice-president, treasurer and secretary. In how many ways can this be accomplished?
Click here to see answer by stanbon(75887)

Question 787713: A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?
Click here to see answer by oscargut(2103)

Question 787712: How many ways can the letters MATH be arranged?
Click here to see answer by oscargut(2103)

Question 787715: Bill has three pairs of pants, 5 shirts and 2 pairs of shoes. How many outfits can he make?
Click here to see answer by xinxin(76)

Question 787747: nCr=nCs;where r=s or s+r=n
Click here to see answer by solver91311(24713)

Question 788171: How many different crackers snacks can I make with 3 different kinds of spread and 9 different toppings for the spreads?
Click here to see answer by rfer(16322)

Question 788441: how many different groups of students can show up for a seminar with an enrollment of 15? the answer in my book is 32,768...no clue how to get there.
Click here to see answer by stanbon(75887)

Question 788607: I need your help please!
A library has 3 books from each of 5 different authors.
How many ways can the library arrange the books on the shelf if books by the same author must be placed together?
Click here to see answer by Edwin McCravy(20054)

Question 788727: The Students Union council will elect a new Executive Committee, including one president, two vice presidents, three secretaries from 15 candidates. How many arrangements are possible?
Click here to see answer by yuginiwa(6)

Question 788887: A car manufacturer produces 14 varieties of car in 8 different colour schemes.
How many different possible cars are there?
Click here to see answer by rfer(16322)

Question 789220: I own 7 suits and 9 ties. I want to take 4 suits and 3 ties on a trip.
how many different ways can I choose 4 suits to pack?
is this a permutation question (permutation of 4 out of 7) or a combination question?
thanks so much!!!
Click here to see answer by xinxin(76)

Question 789225: the word "veracious"
In how many ways can you arrange the 9 letters such that V and C are never adjacent to each other?
Click here to see answer by jim_thompson5910(35256)

Question 790186: How many three-digit numbers can be formed using elements from the set if no element may be used more than once in a number and the number must be even?
Click here to see answer by stanbon(75887)

Question 790503: suppose 2 fair coins are thrown one after the other. how many possible outcomes are there in the 2 throws?
Click here to see answer by psbhowmick(878)

Question 790831: how many numerals for natural numbers less than 600 can be formed by using any of the five digits 3,4,5,6, and 7 if no digits are repeats?
Click here to see answer by Edwin McCravy(20054)

Question 790937: A 4 person committee is to be formed from a group of 12 employees and 5 managers. How many such committees are possible?
Click here to see answer by stanbon(75887)

Question 790943: In how many ways can a twenty-person club choose three different people to be president, vice president, and treasurer?
Click here to see answer by stanbon(75887)

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