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

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Question 707618: In class of 15 boys and 10 girls,in how many ways may a committee madde up of 3 boys and 2 girls be selected?
Click here to see answer by vheroli(126)

Question 703033: In how many ways can 10 people be divided into two groups if one group has 6 people and the other has 4?
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Question 705757: how many distinguishable permutations are there of the letters in the word EFFECTIVE?
Thank you
Click here to see answer by vheroli(126)

Question 701542: If a bag contains 15 marbles, how many samples of 2 marbles can be drawn from it? How many samples of 4 marbles can be drawn?
Click here to see answer by vheroli(126)

Question 701774: ten cards are numbered 1 through 10. three cards are selected. find the probability that all three cards are less than 5.
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Question 701774: ten cards are numbered 1 through 10. three cards are selected. find the probability that all three cards are less than 5.
Click here to see answer by jsmallt9(3758)

Question 705698: A woman has four blouses and five shirts. How many different outfits can she wear?
Click here to see answer by vheroli(126)

Question 709461: William has been dealt seven different cards in a game he is plying. How many diferent ways are there for him to play his cards if he is required to lay one card at a time?
Click here to see answer by checkley79(3341)

Question 709571: Find the number of ways to arrange the letters in the word MISSISSIPPI.
Click here to see answer by vheroli(126)

Question 709571: Find the number of ways to arrange the letters in the word MISSISSIPPI.
Click here to see answer by thomasianstudent001(2)

Question 709570: A bus company has 7 routes and 10 available drivers. In how many ways can the assignment of drivers to route be made?
Click here to see answer by vheroli(126)

Question 709569: Jim has 9 marbles: 3 are yellow, 4 red, and 2 pink. In how many ways can he arrange the marbles in a row?
Click here to see answer by vheroli(126)

Question 709557: A test has 5 multiple choice questions, each with 4 responses. How many different ways can a person answer all 5 questions?
Click here to see answer by vheroli(126)

Question 709566: Radio stations in the U.S. have call letters that begin with K or W. Some have a total of 3 letters; others have a total of 4 letters.
(a) How many sets of 3-letter call letters are possible if:

(i) the last two letters can be repeated?

(ii) the last two letters cannot be repeated?

(b) How many sets of 4-letter call letters are possible if:
(i) the last three letters can be repeated?

(ii) the last three letters cannot be repeated?

Click here to see answer by vheroli(126)

Question 709704: In how many ways can five men of each ethnicity be selected from ten Ilocanos and eight Cebuanos?
This is my solution..
10P5 and 8C5
Is it correct? Thank you!
Click here to see answer by stanbon(75887)

Question 709819: How many whole numbers between 32 and77 ( not including 32 and 77)?
Click here to see answer by Alan3354(69443)

Question 709819: How many whole numbers between 32 and77 ( not including 32 and 77)?
Click here to see answer by josmiceli(19441)

Question 710523: I apologize in advance as I am no longer a student and don't mean to waste anyone's time but I am curious if one of the tutors would care to calculate the entropy of "or better yet" the number of permutations of a 16 digit password that uses 0 thru 9 and/or 26 letters. I would be curious to know the formula to be able to do the math myself for say 15 digits, 14 digits, 13 digits etc. to understand the entropy. Why? I just dropped some big bucks on an Apricorn 1 TB Padlock USB 3.0 Encrypted Hard Drive with PIN Access. Not doing espionage or anything like that just trying to figure a reasonable passcode. Thank You for your concideration, Jack
Click here to see answer by Alan3354(69443)

Question 710953: How many three-digit numbers can be formed using elements from the set {1, 2, 3, 4, 5, 6} if no element may be used more than once in a number and the number must be odd?
Click here to see answer by Edwin McCravy(20054)

Question 711608: how many possible outcomes are there if a die is rolled?

Click here to see answer by vheroli(126)

Question 711647: how many ways r there to form 3 letter sequence using alphabets a,b,c,d,e with repition of letters are allowed
Click here to see answer by checkley79(3341)

Question 712692: From 5 CBA, 4 CSM, and 3 COE students, a committee consisting of 3 CBA, 2 CSM, and 1 COE student is to be formed. In how many ways can this be done if 2 particular CBA students cannot be in the committee?
Click here to see answer by stanbon(75887)

Question 713150: I've submitted this twice, can someone please help. I've completed the first 4 questions, these two are impossible to understand. Bless your heart for the help.
Use the digits 0 through 9, how many 4 digit numbers can be formed:
A) If the number must be between 5001 and 8000, digits may not be repeated.
B) The number must begin and end with an odd digit, digits may not repeat.
Click here to see answer by Alan3354(69443)

Question 713456: A die is tossed. If the number is odd, what is the probability that it is prime?
Click here to see answer by jim_thompson5910(35256)

Question 713525: 1. A committee of 5 is to be formed from a group of 6 men and 5 women. if this individuals have an equal chance of being selected, what is the probability that the numbers are:
a. all men
b. two are men and three are women

Click here to see answer by srinivas.g(540)

Question 713682: If you have 30 people in a class how many ways can you select a president and a vice president

Click here to see answer by lynnlo(4176)

Question 713948: Your bank requires you to pick a four digit PIN for your debit card from the digits 0-9. How many different PINs are possible if adjacent digits cannot be the same? (For example the PIN 1123 would be invalid but 1213 would not.)
Click here to see answer by Edwin P McCravy(4)

Question 714151: how many ways 13 cards of single color can be arranged in the game of 52 playing cards ??
Click here to see answer by solver91311(24713)

Question 714526:

Dale has 9 shirts, 7 pairs of pants, and 3 pairs of shoes. How many different outfits can he create?
Click here to see answer by checkley79(3341)

Question 714748: Write an expression.
There are 9 T-shirts. How many T-shirts go in b boxes?
Click here to see answer by jim_thompson5910(35256)

Question 714749: Write an expression.
A decade is 10 years. How many years are in d decades?
Click here to see answer by jim_thompson5910(35256)

Question 714989: If I have the mean (111.16 and std. deviation(32.83) of 135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85 how do I determine within how many std. dev. of the mean do all the values fall?
Click here to see answer by jim_thompson5910(35256)

Question 714964: Good evening! I am a returning student to college and I am suspicious of the answer I am receiving from the Web site http://www.allpairstesting.com/allpairsgenerator.
My problem:
There are 6 unique computer operating systems
There are 5 unique internet browsers
There are 4 unique graphics cards
There are 4 unique printers
My question - how many unique testing paths do I have? Is it 6*5*4*4=480 ?
The allpairstesting site returns 33 unique tests which seems far too little.
Thank you for your time and effort.
Have a nice weekend !
Scot Richards

Click here to see answer by lynnlo(4176)

Question 715558: There are 13 males and 18 females in the math class. If chosen completely at random, how many different ways can 3 males and 2 females be chosen to do problems on the board.

Click here to see answer by DrBeeee(684)

Question 715608: I need help with this question. What is the third term in the expansion of (x + 2y) power of 17?
Click here to see answer by KMST(5328)

Question 715610: I need help with this question. Which are the first four terms in the expansion (2-3y) power of 8?
Click here to see answer by KMST(5328)

Question 716115: How many permutations can be formed from the 13 word COMBINATORICS?

Click here to see answer by stanbon(75887)

Question 716621: How many different possible committees of
7 men and 7 women
can be selected from a pool of candidates containing
9 men and 8 women?
Click here to see answer by Edwin McCravy(20054)

Question 716620: How many different possible committees of
7 men and 7 women
can be selected from a pool of candidates containing
9 men and 8 women?
Click here to see answer by Edwin McCravy(20054)

Question 707914: You must select a committee of 3 from 12 students. How many different committees can be formed?
Click here to see answer by thomasianstudent001(2)

Question 716619: in how many different ways can 4 persons be seated in a consecutive row of seven seats??
2. a shelf contain 5 red books, 4 blue books, and 3 green books. how many different orders can they be arranged if all books of the same color must kept together?

Click here to see answer by Edwin McCravy(20054)

Question 717123: The test consists of 15 questions. 10 are true/false questions and 5 are multiple choice questions that have 4 choices each. A student must select and answer for each question. In how many way can this be done?
Click here to see answer by solver91311(24713)

Question 717130: A test consists of 20 questions and students are to answer 16 of them. In how many different ways are the students able to choose the 16 questions?
Click here to see answer by lynnlo(4176)

Question 1988: You have five people running for class president.
How many different ways can their names be placed on the ballot expressed in algebraic terms?
Click here to see answer by anish123(1)

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