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

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Question 1074454: A four digit number is to be formed using the digit 0,1,2,3,5, find total number of sum of all the number which can be formed?
Click here to see answer by AnlytcPhil(1806) About Me 

Question 1074587: Howland Middle School assigns a four-digit identification number
to each student. The number is made from the digits 1,2,3 and 4,
and no digit was repeated. If assigned randomly, what is the
probability that an ID number will end in 3?

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

Question 1074024: The variable x varies jointly with y and z use the given vales to write an
equation relating x,y and z. x=2 when y=3 and z=-4 then find y when x=8 and
z=1

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

Question 1074758: A radio station made a list of top 5 songs from a list of 100 songs. How many different lists are possible?
Click here to see answer by Fombitz(32388) About Me 

Question 1074771: a bag contains 6 white,4 red and 4 black balls. find the probability of getting at least two red balls if 4 balls are drawn.

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

Question 1075005: Using the digits​ 0, 1,​ 2, ...8,​ 9, determine how many 6​-digit numbers can be constructed according to the following criteria.
One cannot be used for the first​ digit; digits may be repeated.

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

Question 1075051: in how many different ways can 6 friends stand together in the way Batu & Can will always be side by side?
a)60, b)120, c)180, d)240, e)360

Click here to see answer by ikleyn(52777) About Me 

Question 1075054: I) a (f) b = a/b – 2(b f a)
II) 3 (f) 1 = -7/9
III) 2 (f) 1 = ?
In the equations above, the function of (f) remains unchanged. What does the question mark stand for in the third equation?
a) -2/3, b)-1/3, c) 2/3, d)1, e)3

Click here to see answer by ikleyn(52777) About Me 
Question 1075054: I) a (f) b = a/b – 2(b f a)
II) 3 (f) 1 = -7/9
III) 2 (f) 1 = ?
In the equations above, the function of (f) remains unchanged. What does the question mark stand for in the third equation?
a) -2/3, b)-1/3, c) 2/3, d)1, e)3

Click here to see answer by josgarithmetic(39617) About Me 

Question 1075216: how many ways can a 30 member group elect a president and vice president
Click here to see answer by addingup(3677) About Me 

Question 1075224: An airline offers passengers a choice of 3 entrees, 8 beverages and 4 deserts. How many ways can a passenger select one of each item?
Click here to see answer by Boreal(15235) About Me 

Question 1075227: A fish tank at a pet store has 8 zebra fish. In how many different ways can Nikki choose 3 zebra fish to buy?
Click here to see answer by Boreal(15235) About Me 

Question 1075226: The probability that a flight is on time at a large airline is 95%. If the probability that flights are on time are independent events, find the probability that 4 flights in a row are on time.
Click here to see answer by Boreal(15235) About Me 

Question 1075287: the coach of a tennis team is holding tryouts and can only take only 3 more players for the team. there are five players trying out. how many different groups of three could possibly be chosen
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Question 1075414: how many 4 digit number combinations can be made out of the number 0234
Click here to see answer by Alan3354(69443) About Me 

Question 1075402: find the number of different selections of 4 letters from the 9 letters of the word HAPPINESS which contains no Ps and one or two Ss.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1075543: A manager of a restaurant knows that about 40% of
customers order at least one appetizer. What is the
probability that exactly 2 of the next 5 customers order
at least one appetizer?

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

Question 1075427: A bag consists 3 red marbles, 3 blue marbles, 3 green marbles and 2 yellow marbles, all of which are distinguishable from each other. Four marbles are drawn from the bag (without replacement). 1. How many possible draws are there? 2. How many draws contain 4 difference colored marbles? 3. How many draws contain at least 2 red marbles? 4. How many draws contain at least one green marble and no red marble?
Click here to see answer by Boreal(15235) About Me 

Question 1075744: In how many different ways can five people be seated on a five-seat bench if two of them must seat next to each other?
Click here to see answer by josmiceli(19441) About Me 

Question 1075774: Three hundred people apply for three jobs. Sixty of the applicants are women.
(a) If three people are selected at random, what is the probability that all are women? (Round your answer to six decimal places.)

Click here to see answer by Theo(13342) About Me 

Question 1076110: In a local high school, from a group of 16 students comprised of 7 singers and 9 actors, a 6-person executive council is selected.

How many different executive councils are possible if the council must include at least
4 actors?
I tried 7C4 + 12C2
Answer was 3612

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

Question 1076286: I am developing a game where a result of 6 or more equals a Hit. I am stuck trying to find a formula for throwing multiple dice and scoring Hits on a sum of 6 or more e.g. for 1 die the answer is 1, for 2 dice it is 26 (?). Add a third dice or more and I am lost. Can anyone help please? Neil
Click here to see answer by Fombitz(32388) About Me 

Question 1076274: the point a(0,3),b(-2,a) and c(-1,4) and vertices of right angled triangle at a,find the value of a.

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

Question 1076342: A television network has a choice of 11 new shows for four consecutive timeslots. How many ways can four shows be chosen without considering the age of the viewers or the popularity of the timeslots
Click here to see answer by Boreal(15235) About Me 

Question 1076341: A television network has a choice of 11 new shows for four consecutive timeslots. How many ways can four shows be chosen without considering the age of the viewers or the popularity of the timeslots
Click here to see answer by jorel1380(3719) About Me 

Question 1076328: prove that C(n , r) + C(n , r-1) = C(n+1 , r+1)
Click here to see answer by ikleyn(52777) About Me 

Question 1076471: Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
The U.S. Senate has 100 members. How many different 5-member committees can be formed from the Senate?

Click here to see answer by addingup(3677) About Me 

Question 1076846: With one method of a procedure called acceptance​ sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. A company has just manufactured 1282 ​CDs, and 466
are defective. If 3 of these CDs are randomly selected for​ testing, what is the probability that the entire batch will be​ accepted? Does this outcome suggest that the entire batch consists of good​ CDs? Why or why​ not?

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

Question 1076953: How many ways can three indistinguishable dots be arranged in five different boxes?
Ex: [*][*][*][ ][ ]
Swapping one dot with another will make no difference, as all the dots are indistinguishable.

Click here to see answer by ikleyn(52777) About Me 

Question 1077036: 3.) Number of 2 letter words that can be made from the letters in the word MYTZEPLIK, multiplied by 10
Click here to see answer by Boreal(15235) About Me 
Question 1077036: 3.) Number of 2 letter words that can be made from the letters in the word MYTZEPLIK, multiplied by 10
Click here to see answer by math_helper(2461) About Me 
Question 1077036: 3.) Number of 2 letter words that can be made from the letters in the word MYTZEPLIK, multiplied by 10
Click here to see answer by ikleyn(52777) About Me 

Question 1077058: You volunteer to help drive children at a charity event
to the zoo, but you can fit only 7 of the 20 children
present in your van. How many different groups of 7
children can you drive?

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

Question 1077185: A professor has to visit ten different universities. In how many different ways can the
ordering of visits be made

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

Question 1077386: you have 8 shirts and plan to wear a different one each day from Monday through Friday how many possible arrangements of shirts are possible for those 5 days?
Click here to see answer by Herdaysoji(25) About Me 

Question 1077553: Six men and eight women volunteered to serve on the committee. How many different committees can be formed containing three men and three women?
Click here to see answer by jorel1380(3719) About Me 

Question 1077634: (1,5,3,9,11,13,15,7,)
from this number which three number give sum 30

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

Question 1077762: Serial numbers for a product are to be made using 2 letters followed by
4 numbers. If the letters are to be taken from the first
6 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 math_helper(2461) About Me 

Question 1077089: nC12 = nC8, find n, then find the value of nC17
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1077961: A hand consists of 4 cards from a​ well-shuffled deck of 52 cards.
a. Find the total number of possible 4​-card poker hands.
b. A red flush is a 4​-card hand consisting of all red cards. Find the number of possible red flushes.
c. Find the probability of being dealt a red flush.

Click here to see answer by jorel1380(3719) About Me 

Question 1078476: 9!/5!

Click here to see answer by ikleyn(52777) About Me 

Question 1078477: A bag contains 5 red marbles and 8 yellow marbles. You are asked to draw 3 marbles from the bag without replacement. In how many ways can you draw 2 reds and 1 yellow?
Click here to see answer by Fombitz(32388) About Me 

Question 1078442: You have 5 Seasons of your favorite TV show on DVD if you randomly select two of them from a shelf what is the probability that you will select season 1 first and season 2 second
Click here to see answer by Boreal(15235) About Me 

Question 1078585: You and your best friend are two of the nine students in your speech class who will give a five minute speech during class tomorrow the order of the speeches will be determined at random what is the probability that you are the first student to give her speech in your best friend is second
Click here to see answer by Boreal(15235) About Me 

Question 1078654: Find the sum of all positive six-digit integers whose digits are a permutation of the digits in the number 123456 without listing them all.
Click here to see answer by ikleyn(52777) 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