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

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Question 850404: There are 7 items in a bag. How many ways can you pick 6 items from the bag at once?
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Question 850368: (100 choose k)(3 to the power of k) = ?
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Question 850463:
1. At one time a local telephone number was given by a sequence of two letter followed by five numbers. How many different telephone numbers were there?

Click here to see answer by checkley79(3341) About Me 

Question 850494:
A certain number of friends are waiting in line to board a roller coaster. They can board the ride in 5,040 different ways. How many friends are in line

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Question 850497: The Coughlin family discovered they can stand in a row for their family portrait 720 different ways. How many members are in the Coughlin family
Click here to see answer by richwmiller(17219) About Me 

Question 850739: I have 6 questions, each with yes or no answers, how many permutations are there to get them all correct?
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Question 850837: i have decide to host a party .in which 2 are from my family including me and 5 are my other friend .in total there are 7 persons in party of which 3 are males and 4 are females.
A)3 persons are selected with replacement.What is the probability that my friends are short listed at least twice?
b) 4 persons are selected randomly without replacement.What is the probability that two males and females are selected?

Click here to see answer by ewatrrr(24785) About Me 

Question 850826: please help me solve this problem: Find the number of non-negative solution of 3x+7y=999
Click here to see answer by Fombitz(32388) About Me 
Question 850826: please help me solve this problem: Find the number of non-negative solution of 3x+7y=999
Click here to see answer by Edwin McCravy(20054) About Me 

Question 850867: Please help me solve this question : prove that given any 2014 natural number, we can pick a number of them whose sum is a multiple of 2014
Click here to see answer by Fombitz(32388) About Me 

Question 851207: Is there a formula for this scenario? I have 100pcs of paper and I want to distribute it to 8 people, 3 of whom must have twice the number as the others.
If I can't get the exact number, the approximate would be fine. I hope someone can help me out with this.

Click here to see answer by JulietG(1812) About Me 

Question 851285: You are required to choose two topics from a list of five to write about on your science test. How many different pairings are possible?

Click here to see answer by ewatrrr(24785) About Me 

Question 851271: There are 9 students in a class: 7 boys and 2 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?

Click here to see answer by ewatrrr(24785) About Me 

Question 851708: There are seven finalists for two scholarships. Four of them are girls and three of them are boys. In how many ways can the scholarships be awarded to one boy and one girl?
Click here to see answer by ewatrrr(24785) About Me 

Question 851766: How many ways can you make a sandwich by choosing 4 of 10 ingredients?
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Question 851791: 418 people attended a school play. There were 98 fewer boys than girls there.
A. How many boys attended the play?
B. How many girls attended the play?

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Question 852113: John has collected 14 hockey cards. use combination to find number of ways he could choose 5 to put on the cover of his album
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Question 851581: many provinces now conduct weekly lotteries. In one such lottery, a player selects six different number from 1 to 40. Determine the number of possible lottery tickets
Click here to see answer by Fombitz(32388) About Me 

Question 852298: You have a homework assignment in each of 4 different subjects tonight. In how many orders can you do the four different assignments?

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Question 852272: A man and a woman and their three children are randomly seated in a row for a family picture. What is the probability that the parents will be separated?

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Question 852312: A committee of four people is to be chosen from a group of 25 people.
Fifteen members of the group are women. In how many different ways can you make a committee of 2 or more women?

Click here to see answer by ewatrrr(24785) About Me 

Question 852311: What is the coefficient of the x^6y^4 term in the expansion of (x+y)^10?
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Question 852389: find two consecutive odd integers such that six times the smaller is three more than five times the larger
Click here to see answer by JulietG(1812) About Me 

Question 852442: there are 10 lamps in a hall .each one of them can be switched on independently .the number of ways in which the hall can be illuminated is
Click here to see answer by ewatrrr(24785) About Me 

Question 852493: a local college is having tickets printed for an upcoming concert. each ticket begins with a letter and is followed by 4 digits. how many different tickets can be printed
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Question 852406: Find the number of different selections of 3 letters that can be made from the word MANGANASE
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Question 852516: A family of 5 is going to line up for a picture in a row of 5 chairs. In how many ways can the family be seated if the mother and father must sit next to eachother?
Click here to see answer by ewatrrr(24785) About Me 

Question 852576: Hi, I couldn't figure out how to solve this problem. I tried 7! divided by 6! and the answer is 7, 6! cancels out the first 6 numbers of 7!. But the correct answer is 9. Please help.
Thanks a lot,
shayne
Mr. Lee bought 6 new pants and 7 new
shirts. Now he needs to buy new ties.
Mr. Lee wants to be able to wear a
different combination of one pant, one
shirt, and one tie every day for one
year. What is the minimum number of
ties he should buy?

Click here to see answer by richard1234(7193) About Me 

Question 852614: How many different groups of 3 can be selected out of 10
Click here to see answer by harpazo(655) About Me 

Question 852217: a class has 10 boys and 12 girls. in how many ways can a committee of four be selected if the committee can have at most two girls?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 851580: Seven students are asked to line up for a photo. If the students Jack and Jill are both in
the photo but do not want to stand together, then the number of different line-ups possible
is:

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

Question 852928: a restaurant has a choice of three status,four main courses and three sweets how many different meals are available?
Click here to see answer by checkley79(3341) About Me 

Question 852887: You can answer any 8 questions from the 12 questions on an exam. In how many different ways can you choose the 8 questions, assuming that the order in which you choose the questions is irrelevant?
Click here to see answer by rothauserc(4718) About Me 

Question 853234: HOW MANY WAYS THE LETTERS OF THE WORD MONDAY CAN BE ARRANGED
Click here to see answer by ramkikk66(644) About Me 

Question 853190: I am going to create a password consisting of two letters followed by a three digit number. The letters can repeat, but the digits cannot. How many passwords can be made?

Click here to see answer by fcabanski(1391) About Me 

Question 853292: There are 10 lamps in a hall each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated.
Click here to see answer by Kingsley(15) About Me 

Question 853340: A teacher randomly hands back test papers to 4 students. In how many ways can all 4 students receive someone else's paper?
I think the solution uses the following reasoning:
3 possible "wrong" papers each student can receive. 3x3x3x3=81
81 ways all can receive someone else's paper(?)

Click here to see answer by Fombitz(32388) About Me 

Question 853359: eight students will be placed randomly in 12 desks on a row. what is the probability that no two empty desks will be adjacent ?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 853359: eight students will be placed randomly in 12 desks on a row. what is the probability that no two empty desks will be adjacent ?
Click here to see answer by AnlytcPhil(1806) About Me 

Question 853443: I am trying to geta count of how many possible values I can create using all the leters in the alphabet and all numbers including spaces to create a 1 to 3 digit code. (i.e. A, AA, AAA, A A, AA , etc.)
Possible characters including null value
A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,0,1,2,3,4,5,6,7,8,9,NULL
Order of values is not important

Thanks,
Brian

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

Question 853274: I typically am good in Math, but I just hate this topic because I get confused. So the questions are:
From the digits 1, 2, 3, 4, and 5, three- digit numerals will be formed. If repetition of digits is not allowed,
a) how many three-digit numerals can be formed?
b) how many three-digit numerals can be formed that are odd?
c) how many three-digit numerals can be formed that are greater than 400?

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

Question 852708: 7 boys and 6 girls sit in a row. What is the probability of having a
boy at each end

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Question 853563: If you were to conduct an experiment 3 times in a row, what is the probability of obtaining the result {E1, E2, E3} in that order? Note: Each experiment is independent of eachother.
Click here to see answer by richard1234(7193) About Me 

Question 853818: How many three digit numbers can be formed from the digits 1,2,3,4,and 5, if each
digit can only be used once? Also, how many three-digit numerals can be formed that are odd?Greater than 300?
Please help!

Click here to see answer by ewatrrr(24785) About Me 

Question 853919: Raul has to choose 3 of the 5 toppings for his frozen yogurt. How many different combinations of toppings are possible?
Click here to see answer by checkley79(3341) 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