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

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Question 1088190: From the letters of the word HONESTY,how many ways 3- letter words can be formed,if repetition is a A) Allowed B) not Allowed?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1088182: In a box , there are 3 red marbles,4 green marbles and 5 yellow marbles.in how many ways can you draw three marbles if 1 they are of the same color
2)they are of 3 different colors?

Click here to see answer by math_helper(2461) About Me 

Question 1088361: Given the digits 4,5,6,7,8,how many 3 digit number can be formed if repetition is 1 Allowed?
2)not allowed?

Click here to see answer by ikleyn(52776) About Me 

Question 1088358: Given the digits 4,5,6,7,8.What is the probability that the 3 digit's number formed has distinct digits?
Click here to see answer by ikleyn(52776) About Me 

Question 1088359: A president,a vice president and a secretary are to elected from the 12 members of board of directors of a certain company.In how many ways can those positions be filled up?
Click here to see answer by ikleyn(52776) About Me 

Question 1088445: There are three bus lines between X and Y; and five bus lines between Y and Z. Find the number of ways a person can travel Round trip by bus from X to Z by way of Y, if the person does not want to use a bus line more than once.

Click here to see answer by ikleyn(52776) About Me 

Question 1088189: Given the digits 4, 5,6,7,8, What is the probability that the 3 digit's number formed has distinct digits?
Click here to see answer by ikleyn(52776) About Me 

Question 1088472: In a single throw of a pair of dice;What is the probability of obtaining?
Click here to see answer by Alan3354(69443) About Me 

Question 1088460: x+6/(x)x^2+1
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Question 1088468: The number of squares that can be formed on a chess board is-:
a)204
b)304
c)1296
d)1024
I want to say that when the questions related to permutations and combinations etc come to me, I get stucked. So please can you explain how every permutations and combinations problems can be done with a simple logic?

Click here to see answer by KMST(5328) About Me 

Question 1088457: please help me solve to partial fraction
3x-2/(x+2)(x-1)

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

Question 1088455: how many 2 digit numbers can be formed from 1, 2, 3, 4 such that each number contains one
Click here to see answer by ikleyn(52776) About Me 

Question 1088453: Out of 800 families with 4 children each, about how many of these families would have at least one boy?
Click here to see answer by mathmate(429) About Me 

Question 1088444: In a box,there are 3 red marbles,4 green marbles and 5 yellow marbles.What is the probability of drawing three marbles if draw simultaneously and
1.)they are of the same color?
2.) they are of 3 different colors?

Click here to see answer by Boreal(15235) About Me 

Question 1088458: please help me solve to partial fraction
x^2-4x+5/(x+1)(x^2-4)

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

Question 1088459: 3x^2-4x+5/(x^2+2x-1)^2
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Question 1088525: How many 4 digit number are there when a digit may be repeated any number of times
Click here to see answer by math_helper(2461) About Me 

Question 1088356: In a box there are 3 orange balls,4 blue balls and 5 brown balls.what is the probability of drawing three balls​ simultaneously and
1)they are of the same color?
2)they are of 3 different colors?

Click here to see answer by ikleyn(52776) About Me 

Question 1088454: Expirement :A die is toosed once; Event A prime number.Which of the following is not an element of the event?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1088553: School canteen offers 4 flavors of sandwich 5 drinks and 3 nuts.
A.Student A can afford to buy one only from his snack.in how many possible ways can be make his order?
B.Student B.can afford to buy a combination of the three,a sandwich,a drink and a nut.In how many ways many possible ways can she make her order?
C.Student C can afford to buy a combination of two snack example a sandwich and a drink.In how many possible ways can she make her order?

Click here to see answer by stanbon(75887) About Me 

Question 1088606: In a single throw of a pair of dice: what is the probability that of obtaining
A)1/9 B.1/8 C.1/7 D.)1/6

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

Question 1088609: In a single throw of a pair of dice, what is the probability that the obtaining a total of 9?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1088612: The probability of an event that is certain to occur is
Click here to see answer by Fombitz(32388) About Me 

Question 1088618: Use the following scores:3,5,5,6,8,10,12,15
What is the crude mode of the scores?

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Question 1088607: Expand the following upto 4 terms of expansion (3-4x)power -2
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Question 1088604: School canteen offers 4 flavors of sandwich 5 drinks and 3 nuts.
1) Student A can afford to buy one only for his snack.what is the probability he orders a sandwich?
2.) StudentC can afford to buy a combination of two only.what is the probability that she orders a sandwich and a drink?

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

Question 1088570: School canteen offers 4 flavors of sandwich 5 drinks and 3 nuts.
1.Student A can afford to buy one only for his snack.what is the probability that he orders a sandwich?
2.Student C can afford to buy a combination of two only.What is the probability that she orders a sandwich and a drink?

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

Question 1088701: How many ways of filling three vacant position of president,vice president and secretary by selecting from 5 board of members?
Click here to see answer by ikleyn(52776) About Me 

Question 1088699: In seating 8 people at the table with 8 chairs,what is the total number of possible seating arrangements?
Click here to see answer by ikleyn(52776) About Me 

Question 1088700: School records show that there are 894 female enrollees for every 840 male enrollees.Bading from the relative frequency or empirical approach to probability,what is the probability of a male enrollee?
Click here to see answer by ikleyn(52776) About Me 

Question 1088711: Which of the following events are mutually exclusive?
A.Event "ace"and event"black card.
B.Event "queen" and event"heart".
C.Event "ten" and" spade".
D.Event "diamond" and event"club".

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1088714: If the coefficients of (m+1)th term and the (m+3)th term in the expansion of (1+x)^20 are equal then the value of m is-:
a)10
b)9
c)8
d)7

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

Question 1088709: The probability of an event that is certain to occur is
A.greater than one B.equal to one C.less than one D.equal to zero

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

Question 1088765: Serial numbers for a product are to be made using 2 letters followed by 2 numbers. If the letters are to be taken from the first 5 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through 9 with no repeats, how many serial numbers can be generated?
Click here to see answer by Boreal(15235) About Me 

Question 1088812: A solid has flat circular bottom and flat circular top which are identical size.
Click here to see answer by ikleyn(52776) About Me 

Question 1088811: A student take a 5 items True or False test.In how many ways can he or she answer all 5 questions?
Click here to see answer by ikleyn(52776) About Me 

Question 1088821: Suppose that a volleyball team consists 12 player's who can play any of the six positions.In how many ways can the "first six", in a game be selected?
Click here to see answer by ikleyn(52776) About Me 

Question 1088810: When will 50% of the distribution be below the median?
1)when the distribution is large?
2) when the mean and median are Equal?
3)only when the distribution is skewed?
4) always, regardless of the distribution?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1088937: A solid has flat circular bottom and flat circular top which are identical size
A.spheroid
B.parallelepiped
C.cylinder
D.cone

Click here to see answer by ikleyn(52776) About Me 

Question 1088936: Each statement is true except.
1)A square is kite.
2)A kite is a parallelogram.
3)A rectangle is a parallelogram.
4)A square is a rectangle.

Click here to see answer by ikleyn(52776) About Me 

Question 1088956: Three balls are drawn from a bag containing 5 white balls and 4 red balls.What is probability that the balls drawn are all red?
Click here to see answer by Fombitz(32388) About Me 

Question 1088957: What is the total number of permutation of letters"BREEDER"?
Click here to see answer by ikleyn(52776) About Me 

Question 1088775: A catering service offers 12 appetizers, 10 main courses, and 8 desserts. A banquet chairperson is to select 11appetizers, 2 main courses, and 2 desserts for a banquet. In how many ways can this be done?
Click here to see answer by Boreal(15235) 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