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

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Question 1013622: In how many ways can 5 men and 2 women sit in a row if no women sit next to each other?
Click here to see answer by KMST(5328)

Question 1014411: I would like to select 3 paperback books from a list of 11 books to take on vacation. How many different sets of three books can I choose?
Click here to see answer by stanbon(75887)

Question 1014498: Show that nPr = nPr+1 (show that n permutation r equals to n permutation r+1).
Click here to see answer by mathmate(429)

Question 1014606: An I will like all de numbers it forming send to me please
Click here to see answer by ikleyn(52781)

Question 1014606: An I will like all de numbers it forming send to me please
Click here to see answer by fractalier(6550)

Question 1014602: How many 3 digit numbers can be form using numbers 0 to 9 an the numbers can all so be repeated

Click here to see answer by ikleyn(52781)

Question 1014723: An office consists of seven men and four women. For each of the following questions, show your calculations.
a) How many ways can their manager choose a hiring committee of three staff from this office?

Click here to see answer by ikleyn(52781)

Question 1014481: there are 12 points a1,a2,...a12 in a plane,no 3 on the same line,no 3 on the same line.how many triangles that contain a1 as a vertex determined?
Click here to see answer by robertb(5830)

Question 1014942: Suppose you have 10 different CDs to play. Your CD player holds three CDs. How many different sets of 3 CDs can you select? 120, 40, 60, 80
Click here to see answer by robertb(5830)

Question 1015536: Accompany has a security system that uses 0-6. How many 3 digits repeatition Is not allowed
Click here to see answer by ikleyn(52781)

Question 1015756: This is a basic problem on Combinations and Permutations. Here are 7 letters: A, L, T, E, M, P, N.
How many COMBINATIONS can you make from these letters (they don�t have to spell actual words) ?
How many PERMUTATIONS can you make ? (What is the longest actual word you can make from these letters?)
Would Combinations or Permutations typically be a larger number? Can you give an example with letters or numbers where both would be the same?
Click here to see answer by richard1234(7193)

Question 1016237: how many possible ways can be drawn on a flush?
Click here to see answer by Edwin McCravy(20055)

Question 1016321: how many 3 digit numbers can be formed from 1,2,2,3,3,4,6,6,6 considering the number has to be from 200 to 300

Click here to see answer by Edwin McCravy(20055)

Question 1016564: How many times can you rearrange the word Pineapple?
Click here to see answer by ikleyn(52781)

Question 1016875: How many 4-digits even passcode can be formed from no. 0,3,5,7,9 w/o repitition?

Click here to see answer by mathmate(429)

Question 1017526: A building has a 5 entrance gates and 4 exit gates. In how many different ways can a person enter and then exit from the building?
Click here to see answer by JulietG(1812)

Question 1017548: If a hospital will hire 6 nurses, in how many ways can they be assigned to 6 different deparments?
Click here to see answer by ikleyn(52781)

Question 1017684: The two third grade classrooms are going to watch our play in the cafeteria. There are 49 students. In what different ways would we arrange the chairs for them so that all the rows are equal?

Click here to see answer by fractalier(6550)

Question 1017685: In how many ways can you select 4 delegates to attend a seminar from 4 supervisors, 3 managers, and 3 assistant managers if 2 of the delegates are supervisor?
Click here to see answer by ikleyn(52781)

Question 1017824: there 11 players in a soccer team. determine how many complete teams can be chosen from 50 players
Click here to see answer by Alan3354(69443)

Question 1017877: If you are given 5 red flowers and 5 yellow flowers
(All flowers are distinguishable)
a) How many ways can you arrange 8 of these flowers
in a row in a box?
b) How many ways can you arrange 8 of these flowers
in a row if you want the colors to alternate?
Click here to see answer by Edwin McCravy(20055)

Question 1017311: Consider set of first 18 natural numbers. Five different
numbers a1,a2,a3,a4,a5 are to be selected from set S under
the condition that a(i +1) -a(i)≥2 for all i= 1,2,3,4.
Find the number of ways (T) in which selection of 5 numbers
can be done based on the given condition.
Options are:
a- 50≤T≤300
b- 250≤T≤800
c-700≤T≤2500
d- 2000≤T≤3500
Please provide the solution. So that I can solve other
related problems.
Thanks
Click here to see answer by Edwin McCravy(20055)

Question 1014286: How many 3-digit numbers can be formed from the digits
0,1,2,3,4,5,6 if each digit can be used only once?
(ii) How many of these are odd numbers ?
(iii) How many are greater than 330 ?
Click here to see answer by Edwin McCravy(20055)

Question 1009027: Four married couples have bought eight seats in a row for a basketball game. In how many ways can they be seated if each couple is to sit together?
Click here to see answer by Edwin McCravy(20055)

Question 1018419: how many ways can 4 students be chosen out of 10 students

Click here to see answer by ikleyn(52781)

Question 1018498: Find the value m and n if m+np�=56, m-np�=12
Click here to see answer by Edwin McCravy(20055)

Question 1018374: A photographer is lining up 5 family members in a line for a picture. How many
different lineups can there be if the mother and father stand by side? If the mother and father are on either end? The father is on the left and the mother is on the right?
Click here to see answer by Edwin McCravy(20055)

Question 1007486: Let A = {0,1,3,4,6,8} List the ordered pairs of relations on A:
D={(x,y)|x/3 and y/3 have the same remainder}
Click here to see answer by Edwin McCravy(20055)

Question 1018799: A Calculus quiz consists of 5 true-false questions and 7 multiple choice questions (which contain
4 options each). How many ways can a student respond to all of the questions on the test?
I'm not sure where to begin with this problem, can you please assist?
Click here to see answer by FrankM(1040)

Question 1018823: A carpenter has a board that is 15 ft long. He needs to cut it into pieces so that one piece is 3 ft shorter than the other piece. Find the length of each piece.
Click here to see answer by Boreal(15235)

Question 1018792: 1. Uncle Clem has 5 bowling balls, 3 bowling shirts, 4 pairs of bowling shoes, and 8 bowling
towels. If any combination of bowling ball, shirt, shoes, and towel is acceptable for him to take
to the bowling alley, in how many ways can he make his selection?
5bb*3bs*4bs*8bt= 480 Is the correct way to set up this problem ?
Click here to see answer by Alan3354(69443)

Question 1018797: 18) In a box there are 8 red and 6 blue markers. How many ways can you select 3 markers if:
(a) exactly 1 red is selected?
(b) no more than 2 blue are selected?
(c) there are more blue than red selected?
I'm not sure where to begin can you please guide me through?
Click here to see answer by Boreal(15235)

Question 1018794: Given a set with 15 elements, how many subsets can be constructed that:
(a) contain 6 elements? c(15,6)=5005
(b) contain at least 13 elements? I am not sure how to set up part B can you please assist?
Click here to see answer by Alan3354(69443)

Question 1018497: Find the value m and n if
where m,n, and p are whole numbers

Click here to see answer by Edwin McCravy(20055)

Question 1019257: A group of 9 males and 6 females are trained for a
competition. In the end only 4 males and 3 females
can take part in the actual competition. How many
combinations are possible to construct the team?
Click here to see answer by Edwin McCravy(20055)

Question 1019415: There are 50MPs,two from each of 25 Tinkhundlas.
(i)If two MPs are chosen at random,what is the probability that they are from the same Inkhundla?
(ii)If ten MPs are randomly chosen to form a committee,what is the probability that they are all from different Tinkhundlas?
Click here to see answer by mathmate(429)

Question 1019416: The mean weight of 200 students is 140 pounds,and the standard deviation is 10 pounds.If we assume that the weights are normally distributed,evaluate thefollowing:
(i)The expected number of students that weigh between 110and145 pounds
(ii)The expected number of students that weigh lessthan 120pounds.
(iii)The expected number of students that weigh more than 170pounds
Click here to see answer by Boreal(15235)

Question 1019461: Two distinct dice A and B are rolled. What is the probability of each of the following events?
(i) At least one 4 appears.
(ii) Just one 4 appears.
(iii) The sum of the face values is 7.
(iv) One of the values is 3 and the sum of the two values is 5.
(v) One of the values is 3 or the sum of the two values is 5.
Click here to see answer by FrankM(1040)

Question 1019519: 6 freshmen, 5 sophomores, 7 juniors, and 7 seniors are eligible to be on a committee.
In how many ways can a dance committee of 15 students be chosen if it is to consist of exactly 2 juniors and exactly 4 seniors, and the rest must be freshman or sophomores?
Click here to see answer by robertb(5830)

Question 1019517: 6 freshmen, 6 sophomores, 6 juniors, and 6 seniors are
eligible to be on a committee.
In how many ways can a dance committee of 13 students
be chosen if it is to consist of exactly 2 juniors and
exactly 3 seniors, and the rest must be freshman or
sophomores?
Click here to see answer by Edwin McCravy(20055)

Question 1019556: In how many different ways letters of the word "HEXAGON" be permutation ?

Click here to see answer by stanbon(75887)

Question 1019555: in how many different ways the letters of the word "HEXAGON" be permutation?

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