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

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Question 1177886: In how many ways can you place 4 red balls,3 yellow balls,6 black balls,2 blue balls,and 1 orange ball in a row?
Click here to see answer by ikleyn(52776)

Question 1177886: In how many ways can you place 4 red balls,3 yellow balls,6 black balls,2 blue balls,and 1 orange ball in a row?
Click here to see answer by math_helper(2461)

Question 1177997: P(n,n-1)=6

Click here to see answer by greenestamps(13198)

Question 1178028: There are 11 girls and 9 boys in Form 1A and 10 girls and 9 boys in Form 1B in a school. Eight students are to be selected from each Form to take part in an essay competition. Find, correct to three decimal places, the probability that equal number of girls and boys will be selected from:
Click here to see answer by greenestamps(13198)

Question 1178123: There are 10 identified points on a number line. How many possible rays can
be drawn using the given points?
Click here to see answer by amarjeeth123(569)

Question 1178123: There are 10 identified points on a number line. How many possible rays can
be drawn using the given points?
Click here to see answer by ikleyn(52776)

Question 1178131: A spinner is to be divided into four equal parts. In how many different ways can you arrange four symbols in the spinner?
Click here to see answer by ikleyn(52776)

Question 1178128: A parking permit sticker displays an identification code consisting of a letter (from A, B, C, and D) followed by a digit (from 1 and 2). How many different permits can be issued?
Click here to see answer by ikleyn(52776)

Question 1178130: An identical twin, identical triplets and two other children pose for a photograph. How many photographs will be different?
Click here to see answer by ewatrrr(24785)

Question 1178176: What is the answer in the following?
•P(n,n-1)=6
•P(16,4)=208•P(n,2)
Click here to see answer by greenestamps(13198)

Question 1178179: In how many ways can 4 people be seated in a row of 12 chairs?
Click here to see answer by ikleyn(52776)

Question 1178177: 6-letter arrangements are formed from ABCDEF. How many if:
a. A & B are separated
b. A, B, & C are separated
c. The word BAD appears
Click here to see answer by ikleyn(52776)

Question 1178117: In how many ways can a MathSci Committee of 5 be formed from 7 Math lovers and 5 Science lovers if the committee must have 3 Math lovers?
Click here to see answer by ewatrrr(24785)

Question 1178258: A dress shop owner has 8 dresses that she wants to display in the window, if the display window has 5 mannequins, in how many ways can she dress them up?
Click here to see answer by ikleyn(52776)

Question 1178263: If Rolly has 2 T-shirts, 6 pairs of pants, and 3 pairs of shoes, how many possibilities can he dress himself up for the day?
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Question 1178262: In how many ways can the letters of the set {M, A, T, H} be arranged to form ordered codes of 4 letters?
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Question 1178265: In how many ways can a president,a secretary and a treasurer be chosen in a group with 9 members assuming that no one can occupy 2 or
more positions?
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Question 1178266: In how many ways can 4 girls be seated in a row of 6 chairs?

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Question 1178267: 1.45? + 59?
2. 8!7! /
3. 4P * 6P
4.10P / P3
5.6P * P5 / 10P

Click here to see answer by ikleyn(52776)

Question 1178268: In how many ways can 7 colored beads be made into a bracelet?
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Question 1178269: In how many ways can 5 red books,4 blue books,and 3 white books be arranged in a row?
Click here to see answer by ikleyn(52776)

Question 1178272: There are 3 ABC branches in a city. The branches are called A, B, and C. Someone plans a 5-day visit to the city and wants to visit each branch. She/He will visit one branch per day, which means that the person will visit one or more branches more than once, possibly on consecutive days. How many different schedules can the travel advisor prepare for him/her? One possible schedule is A-B-B-C-A, where the person visits branch A on the first and fifth days, branch B on the second and third days, and branch C on the fourth day.
Click here to see answer by ikleyn(52776)

Question 1178310: In a birthday party, each person shakes hand with every other person. If there was a total of 36 handshakes in the party, how many persons were present in the party?
Click here to see answer by ikleyn(52776)

Question 1178311: There are 10 people in a meeting. In how many ways can you arrange your participants (including you) around a conference table if 4 people insist on sitting beside each other?
Click here to see answer by ikleyn(52776)

Question 1178309: A box contains 8 red balls, 7 blue balls, and 6 orange balls. In how many ways can 6 balls be chosen if there should be 2 balls each color?
Click here to see answer by ikleyn(52776)

Question 1178331: In how many can a MathSci committee of 5 be formed from 7 Math lovers and 5 science lovers if the committee must have 3 Math lovers
Click here to see answer by Solver92311(821)

Question 1178325: A dress shop owner has 8 dresses that she wants to display in the window.If the display window has 5 mannequins ,in how many ways can she dress them up?
Using systematic
Listing
Click here to see answer by ewatrrr(24785)

Question 1178351: There are 6 Math books, 4 English books and 7 Filipino books on a shelf. How many ways can you arrange all books such that the books of the same subject are kept together?

Click here to see answer by ikleyn(52776)

Question 1178388: what is the answer here
nP2 = 380 *
10P5 = ? *
8Pr = 20160 *
6P6 = ? *
7Pr = 840 *
nP3 = 60 *
12P3 = ? *
nP4 = 7920 *

i needed before 11 am here in the philippines

Click here to see answer by MathLover1(20849)

Question 1178441: The batting order for
Click here to see answer by ikleyn(52776)

Question 1178506: How many permutations can be made to 10 pocalletes (small coconut shell) in designing the edge of a circular card

Click here to see answer by amarjeeth123(569)

Question 1178506: How many permutations can be made to 10 pocalletes (small coconut shell) in designing the edge of a circular card

Click here to see answer by ikleyn(52776)

Question 1178563: Find the constant term (x^0) in the expansion of:

Click here to see answer by greenestamps(13198)

Question 1178588: five couples want to have their pictures taken. In how many ways can they arrange themselves in a row if
a. Couples must stay together?
b. They may stand anywhere?
Click here to see answer by ikleyn(52776)

Question 1178620: An SF path starts at S, follows along the edges of the
squares, never visits any vertex more than once, and finishes
at F. An example of an SF path is shown. (A vertex is a
point where two or more of the squares’ edges meet.)
This is the question (I took a screenshot):
https://drive.google.com/file/d/1PBiwLlK971wMDwIjFABNOb3QhBzEJhNs/view?usp=sharing
Click here to see answer by greenestamps(13198)

Question 1178630: From 7 Algebra books and 6 Geometry books, in how many ways can one select 2 Algebra and 2 Geometry books to buy if all the said books are equally necessary?
Click here to see answer by ikleyn(52776)

Question 1178635: A restaurant offers 7 possible appetizers, 11 possible main courses, and 9 possible desserts. How many different meals are possible at this restaurant?
(Two meals are considered different unless all three courses are the same).
Click here to see answer by ikleyn(52776)

Question 1178636: From a group of 15 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can the study group be selected?

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Question 1178657: If one person is randomly selected from the population represented in the bar graph, find the probability that the person is in the navy or is a woman.
Click here to see answer by ikleyn(52776)

Question 1178645: A singer/performer is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice?
Click here to see answer by Edwin McCravy(20054)

Question 1178649: How many permutations are there in the Word TELEVISION if the consonants
go together
Click here to see answer by Edwin McCravy(20054)

Question 1178649: How many permutations are there in the Word TELEVISION if the consonants
go together
Click here to see answer by ikleyn(52776)

Question 1178812: 1. From a class of 40 students 8 students will be chosen to join the science field trip. In how many ways can the student be chosen?
2. In a gathering, the host makes sure that each guests shakes hands with everyone else. If there are 30 guests, how many handshakes will be done?
Click here to see answer by ikleyn(52776)

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