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

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Question 899036: How many 3 digits numbers, each less than 600, can be formed from the digits 1,2,3,4,5,9, if repetition of digits is allowed.
Click here to see answer by Edwin McCravy(20054)

Question 900169: Consider a class of 4 students, 2 boys and 2 girls. Suppose that these students will be grouped into two teams of equal size. Assuming that the teams are selected at random, determine the probability that there is one all-boy team and one all girl team. Explain.
Click here to see answer by Edwin McCravy(20054)

Question 900667: It is lunchtime and you wish to build a pizza with 1 choice of crust, 1 meat, 1 vegetable.
You have the following choices: 2 types of crust, 4 types of meats, and 7 types of vegetables
How many different ways can you build your pizza?

Click here to see answer by Fombitz(32388)

Question 901632: I'm stumped with trying to work out a permutation that works.
Is it possible to allow 16 people to each drive 8 vehicles, over 6 drive legs, so that at the end of the exercise, each of the 16 people have driven all 8 vehicles at least once?
Thank You!
Click here to see answer by harpazo(655)

Question 901678: Q) How many 6-digit numbers contain exactly 4 different digits ?

Click here to see answer by harpazo(655)

Question 901896: How many sets of 4-letter call letters are possible if:
The last two letters can be repeated?

The last two cannot be repeated?

Click here to see answer by Fombitz(32388)

Question 902188: Dear Sir/ Madam;
Please help me with this Math problem: 3 students are selected to form a chess team from a group of 5 girls and 3 boys. Find the number of possible teams that can be selected in which there are more girls than boys.
Thank you so much!
Click here to see answer by ewatrrr(24785)

Question 482573: A combination lock is set up in the office. The keypad is set up with numbers 0-9 and you know the combination is a 4 digit combo. You also know that numbers are not repeated in the combination. How many different combinations of 4 can be created?

Click here to see answer by tmwilliamlin168(27)

Question 902575: There are 5 blue chairs and 4 pink chairs in a class. All blue chair occupied by 5 boys and all pink chairs were occupied by 4 girls before lunch. After lunch they came back in the class 4 girls sit in all pink chairs but non of them sit on the same seat before lunch? How many ways are there to occupy there seats in the class?
Click here to see answer by ewatrrr(24785)

Question 902539: in how many ways can a committe of 4 students be formed from a pool of 7 students?
Click here to see answer by ewatrrr(24785)

Question 902619: Which numbers are greater than 5 � 10 - 6?
Choose all answers that are correct.
A. 9 � 10 - 8
B. 7 � 10 - 6
C. 5 � 10 - 4
D. 4 � 10 - 6
E. 8 � 10 - 9

Click here to see answer by purpleswimmergirl(1)

Question 902619: Which numbers are greater than 5 � 10 - 6?
Choose all answers that are correct.
A. 9 � 10 - 8
B. 7 � 10 - 6
C. 5 � 10 - 4
D. 4 � 10 - 6
E. 8 � 10 - 9

Click here to see answer by Jc0110(165)

Question 902471: if a multiple choice test has 8 questions each having 5 possible answers how many ways are there to mark the answer

Click here to see answer by ewatrrr(24785)

Question 903044: In a group of 20 people that includes you and your friend a committee of 5 people at random is formed. What is the probability that you and your friend are in the committee?
Click here to see answer by ewatrrr(24785)

Question 903315: How many different cash amounts can be made by choosing 4 coins from a penny, nickel, dime, quarter, loonie and a tonnie?
Would this be a combination?
I.E. 6C4
Click here to see answer by jim_thompson5910(35256)

Question 903373: If I had a group of odd numbers 1,3,5,9 how can I get total sum = 21 if I used 6 digits from the group? Repetition is allowed."

Click here to see answer by tmwilliamlin168(27)

Question 903356: How many ways can 12 jurors and 2 alternates
Click here to see answer by richwmiller(17219)

Question 903316: A library has 3 books from each of 5 different authors.
How many ways can the library arrange the books on the shelf if books by the same author must be placed together?

Click here to see answer by ewatrrr(24785)

Question 903317: How many ways can 12 jurors and two alternates be chosen from a pool of 19 prospective jurors?
Click here to see answer by ewatrrr(24785)

Question 903681: in how many ways can 3 maths books,4 history books,3 chemistry books & 2 bio books can be arrranged on a shelf so that all books of the same subjects are together?
Click here to see answer by ewatrrr(24785)

Question 903655: Is this permutation or combination: If a high school senior takes English, then math, and then science and there are 5 English courses, 4 math courses, and 4 science courses, how many possible schedules are there if a senior must choose a course in each subject?
Click here to see answer by ewatrrr(24785)

Question 903975: how many committers of 5 with a given chairperson can be selected from 12 persons
Click here to see answer by ewatrrr(24785)

Question 903922: A boat has 8 crew members,3 of whom can row only on one side and 2 only on the other side. Find the number of ways in which the crew can be arranged.

Click here to see answer by Edwin McCravy(20054)

Question 903515: How many permutations can be formed the word company?
Click here to see answer by Edwin McCravy(20054)

Question 904218: how many license plates can be made using either three digits, explain in essay
Click here to see answer by Alan3354(69443)

Question 904993: In how many ways 12 different balls can be distributed 3 different kids such that a kid can get at most six balls only?
Click here to see answer by brichantai(17)

Question 905093: Please explain what I am doing wrong here with these functions and their formuals
http://i.imgur.com/y8Z77QJ.png
Click here to see answer by jim_thompson5910(35256)

Question 905465: A meal consists of two drinks, a salad, an entree and two desserts. On the menu there are five drinks, seven salads, seven entrees and ten desserts. How many different meals can be offered?
Click here to see answer by ewatrrr(24785)

Question 905502: Five students in a class have volunteered for a special project. Only three can actually help with the project. How many possible groupings of three out of the five are possible?
Click here to see answer by ewatrrr(24785)

Question 905501: Which numbers are greater than 3 � 10−7?

Choose all answers that are correct.

A.
9 � 10−9

B.
2 � 10−5

C.
6 � 10−7

D.
5 � 10−8

E.
2 � 10−7
Click here to see answer by Fombitz(32388)

Question 905990: How many ways can a president, vice-president, secretary, and treasurer be elected from a group of 25 students if each student is eligible for each office?
Click here to see answer by ewatrrr(24785)

Question 906073: in how many ways can a team of 13 players line up in a row to pose for a photo?
Click here to see answer by jim_thompson5910(35256)

Question 906386: in how many ways can 10 children be seated in a row of 5
Click here to see answer by Edwin McCravy(20054)

Question 905351: What are four types of

Click here to see answer by Edwin McCravy(20054)

Question 904779: Find the no of different8-letter word formed from the letter of the word equation if each word is to start with a vowel.
Click here to see answer by Edwin McCravy(20054)

Question 906647: An exam consists of 10 multiple choice questions. Each question has 4 options, A, B, C, and D. In how many different ways can the answer sheet be filled?

Click here to see answer by richwmiller(17219)

Question 906737: Please solve:

Let g(x) = Find and simplify

Click here to see answer by jim_thompson5910(35256)

Question 906920: Please help me solve the two questions:
1.A person selects 3 letters randomly from 26 upper case letters of English alphabet. Find the probability that Z does not come in these three letters.
2.A student arranges letters of the word UNIVERSITY randomly. What is the probability that two numbers of �I� do not come together.
Click here to see answer by stanbon(75887)

Question 906992: how many differnt words can be formed using three letters of the word "TABLE"?

Click here to see answer by Alan3354(69443)

Question 906992: how many differnt words can be formed using three letters of the word "TABLE"?

Click here to see answer by richwmiller(17219)

Question 907228: A college student eats all his meals at a restaurant offering seven breakfast specials, four lunch specials, and six dinner specials. How many days can he go without repeating an entire day's menu selection?
Click here to see answer by rfer(16322)

Question 906553: A certain type of shoe comes in 5 colors, has a male version and a female version,
and comes in 12 sizes for each gender. How many different types of this shoe are
made?

I think the solution is 5*12+5*12=120 different types, is this right answer?
Click here to see answer by Fombitz(32388)

Question 906615: Six friends go to a movie. How many ways can they sit in a row of 6 seats?
Click here to see answer by Fombitz(32388)

Question 907369: In how many ways can 12 people on a swim team be separated into groups of four to sleep in three hotel rooms?

Click here to see answer by ewatrrr(24785)

Question 907466: Consider the strings that consist of four lowercase letters and have the letter z in
them. How many such strings are there? Assume we are using the English alphabet.
I think solution is 26^4-25^4
is this right anwser ?
Click here to see answer by Fombitz(32388)

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