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

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Question 691195: how many 4 digit number combinations can u make out of this 4 numbers 1486 and what are they
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Question 691193: how many 4 digit number combinations can be made out of the number 1486
Click here to see answer by Edwin McCravy(20054) About Me 

Question 691445: How many different 10-digit phone numbers exist with an area code of 281?
My first question was how many different 10-digit phone numbers exist in which I solved 92,378. I am thrown off by the question involving the exact area code.

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

Question 691040: if there is 32 girls in a class going on a field trip and if only 3/5 went how many went
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Question 693851: How many different ways can we divide 20 students into 4 groups of 5 students?
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Question 693953: How many ways are there to arrange the letters F, R, E, E, if the E's must be side by side?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 694415:
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Question 694611: In a box of 23 parts, 7 are defective. Two parts are selected at random without replacement. What is the probability that at least one part is defective?
Click here to see answer by stanbon(75887) About Me 

Question 418547: Three cards are drawn in succession from an ordinary deck of playing cards. Find the probability that the first card is a red ace, the second card is a ten or jack, and the third card is greater than 3 but less than 7 if the cards are drawn
a) without replacement
b) with replacement

Click here to see answer by seriousgr8(1) About Me 

Question 694803: A card is randomly selected from a standard deck. Find the probability that the card is a diamond or queen.

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Question 695121: How many unordered 2-letter subsets of the letters A,B, and C are there?
Click here to see answer by stanbon(75887) About Me 

Question 695514: A high school computer club has 15 members. In how many different ways can they choose a president and vice president?
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Question 695500: three different language books, two different social science books and five mathematics books are to be arranged on a shelf. How many different arrangements are possible if the book in each group must all stand together ?
Click here to see answer by stanbon(75887) About Me 

Question 695499: three different language books, two different social science books and five mathematics books are to be arranged on a shelf. How many different arrangements are possible if the book in each group must all stand together ?
Click here to see answer by stanbon(75887) About Me 

Question 695344: How many 9 letter strings can be formed with the letters D,E,F,G if each letter can be used more than once?
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Question 695170: Determine the number of ways to form 4-digit numbers by using the digits 1,2,3,4,5,6, and 7 if repetitions of digits are allowed.
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Question 695160: Count the number of possible 4-letter arrangements that can be formed using the letters in the word 'Butterworth'
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Question 696297: -3(x-4)=

Click here to see answer by rfer(16322) About Me 

Question 695935: If only digits 0,1,2,3,4,5,6 maybe used, find the number of possibilities in each category:
a) three-digit numbers
b) odd three-digit numbers
c) three-digit numbers without repeated digitits

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 696442: In how many ways can a chairperson and a vice chairperson be selected from a committee of 12 senators?

Click here to see answer by Alan3354(69443) About Me 

Question 4722: What is the sum of the digits of the four-digit numbers formed using the digits
2,4,6,8(repetitions not allowed).

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Question 696531: In how many ways can two letters be selected from the letters of the word POSSIBLE?

Click here to see answer by MathLover1(20849) About Me 

Question 696538: Can someone please help with conjectures? I do not understand how to create a formula for these. I get how 1 = 1, or n^2 and #2 with 3^2 but that is as far as I understand.
Consider the following four equations:
1) 1 = 1
2) 2 + 3 + 4 = 1 + 8
3) 5 + 6 + 7 + 8 + 9 = 8 + 27
4) 10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64 = 91
Conjecture the general formula suggested by these four equations, and prove your conjecture.

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

Question 696870: You have a collection of six numbered balls; 1 through 3 are blue and 4 through 6 are green. How many different arrangements of these balls in a line are possible? What percentage of those arrangements have three blue balls followed by three green balls?
Click here to see answer by reviewermath(1029) About Me 

Question 696880: if we have 90 boxes, arrenge it into 9 groups, but the groups should be of odd numbers...
reply me fast plz

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

Question 696875: a secretary types 5 letters and 5 envelopes buts the letter into the envelop at random.what is the probability that at least 1 letter is put into its correct envelop
Click here to see answer by stanbon(75887) About Me 

Question 696777: there are ten questions on a test. the instruction says that only seven of the questions are to be answered. how many ways can the seven to be answered be selected?
Click here to see answer by Afolabyte(4) About Me 

Question 696778: an call for volunteers to act in a community play brings out ten men and eight women. if there are nine parts in the play, four for males and five for females, how many different cats are possible?
Click here to see answer by Afolabyte(4) About Me 

Question 697249: how many permutations of 4 diffrent letter are there chosen from the 26 letters of the alphabet?
Click here to see answer by MathLover1(20849) About Me 

Question 697368: Use synthetic division to find the quotient Q(x) and remainder R when
P(x)= -x^3 +24x -5 is divided by x+5 . Specifically, complete the synthetic division table below, and write your answer in the form Q(x) +R/(x+5).

-5/ -1, 0, 24, -5
?, ?, ?
______________________
?, ?, ?, ?

-x^3 +24x -5/ (x+5) = ? + ?/(x+5)

Click here to see answer by nerdybill(7384) About Me 

Question 697372: Write an equation that expresses the following relationship.
d varies directly with w and inversely with the square of p
In your equation, use k as the constant of proportionality.

Click here to see answer by mathbird(71) About Me 
Question 697372: Write an equation that expresses the following relationship.
d varies directly with w and inversely with the square of p
In your equation, use k as the constant of proportionality.

Click here to see answer by MathTherapy(10551) About Me 

Question 697452: a group of 7 members having a majority of boys is to be formed out of 6 boys and 4 girls. the number of ways the group can be formed

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Question 697695: I have to simplify 12r+5+3r-5
Click here to see answer by rfer(16322) About Me 

Question 697698: How many odd numbers of three digits each can be formed from the digits 2,4,6 and 7 if repetition of digits is permitted.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 697864: 3!+2!=?
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Question 697982: How many different groups of 5 can be made using the numbers 1 through 52
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Question 697982: How many different groups of 5 can be made using the numbers 1 through 52
Click here to see answer by Alan3354(69443) About Me 

Question 698116: A Committee of 12 is to be selected from 10 men and women. in how many ways can the selection be carried out
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Question 698389: From the five letters A, B, C, D, and E how many three letter horizontal arrangements are possible if no letter can be repeated?
Click here to see answer by checkley79(3341) About Me 

Question 698254: how many different 12-member juries can be made from 15 people
Click here to see answer by Positive_EV(69) About Me 

Question 698570: A committee of 8 is to be selected out of 6 males and 8 females. In how many ways can it beformed so that the male way not be out numbered?
Click here to see answer by stanbon(75887) About Me 

Question 698558: giving digits 2,2,3,3,3,4,4,4,4 how many distinct 4 digits greater than 3000 can be formed?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 698550: A certain class has 6 girls and 5 boys. four of these students are to line up, with two girls on either end and two boys in between, how many such arrangements are possible?
Click here to see answer by Positive_EV(69) About Me 

Question 698741: a student is declared to have passed in exam if he passes in all the 6 subjects .in how many ways can he fail?
Click here to see answer by lynnlo(4176) 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