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

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Question 880670: How many combinations of four letters each can be made from the
word pepper?
Thanks.
Click here to see answer by Edwin McCravy(20054)

Question 880704: I am unsure on how to solve :
How many 5 digit zip codes are possible if digits can be repeated? If there cannot be repetitions?
I have the answer , but I am unable to figure out how to set the problem up. Thank you
Click here to see answer by Alan3354(69443)

Question 880720: Please help! We, parents and child, are stuck. If you are knitting a sweater and you want it to have 4 different colored stripes. You have 13 different colors of yarn. How many sweaters could you make?
We don't need the answer- but just to tell if it is a permutation or a combination problem. We are at a standstill.
(I think it is combination- but I also wouldn't bet much on my math skills) The other 2 believe it is permutation.
We have valid arguments for either. HELP! There is no order specified, that is why I think combo...
Click here to see answer by jim_thompson5910(35256)

Question 880687: A three-letter code is generated using the letters of the alphabet. How many of these codes contain at least 1 vowel? The answer is apparently 7620. Does order matter? Are repetitions allowed?
This is what I have tried so far:
At least 1 vowel means that the 3 letter code can either contain 1 vowel, 2 vowels, or 3 vowels so I set up my equation like this:
(5C1 * 21C2) + (5C2 * 21C1) + (5C3 * 21C0) = 1270
Click here to see answer by KMST(5328)

Question 880799: how many eight digit serial numbers are possible if they cannot start with 0 or 1.
Click here to see answer by Fombitz(32388)

Question 880854: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. What is the probability that a randomly chosen team has 3 or 4 girls?

Click here to see answer by ewatrrr(24785)

Question 880851: a coin is tossed 15 times. what is the probability of exactly 10 heads.
Click here to see answer by ewatrrr(24785)

Question 880775: In how many ways can the letters of the word COUPLE be arranged, so that no two vowels are together?
Click here to see answer by ewatrrr(24785)

Question 880899: How many permutations are in the word smoke?
ex:Permutations for the word obese =
6!
- = 60 permutations for the word obese
2!
Click here to see answer by Fombitz(32388)

Question 880973: A test has twelve true-false questions and four multiple choice questions with five choices each. In how many different ways can this test be completed
Click here to see answer by stanbon(75887)

Question 880942: 5p3 is the solution to which of the following
Click here to see answer by Fombitz(32388)

Question 881024: how many numbers greater than 990 n less than 5000 can be formed using the digits
0 4 5 7 8 9(repetiton allowed)
Click here to see answer by Fombitz(32388)

Question 881070: In how many ways can a teacher seat 4 girls and 2 boys in a row of 6 seats if the 2 boys must be seated next to each other?
Click here to see answer by ewatrrr(24785)

Question 881248: Combination: Fifteen students are competing for 3 ASB positions. How many possible results are there?

Click here to see answer by jim_thompson5910(35256)

Question 881263: How do you solve n!/5!(n-r)!

Click here to see answer by jim_thompson5910(35256)

Question 881293: IN HOW MANY WAYS CREAM CAN BE ARRANGED?
Click here to see answer by Fombitz(32388)

Question 881207: A locker code starts with the letters from the word "YES" followed by a number from the year 1980. If no characters can repeat, how many different combinations are possible?
Click here to see answer by Fombitz(32388)

Question 881328: A committee of 4 people is randomly selected from a group of 5 Republicans and 6 Democrats. What is the probability that the committee will be only Democrats?

Click here to see answer by ewatrrr(24785)

Question 881065: a number 1 to 9 digits it can be eg 1+2-34etc and the numbers should not be repeated but the answer should be =100

Click here to see answer by Edwin McCravy(20054)

Question 880947: 5P3
Click here to see answer by Edwin McCravy(20054)

Question 881366: A student club consists of 8 guys and 12 girls. A committee of 8 is to be selected. In how many ways can this be done if
the committee must have the same number of guys as girls
the committee must have at least 6 boys on it
three officers (president, vice president, secretary/treasurer) are selected from ALL the members.

Click here to see answer by Edwin McCravy(20054)

Question 876770: 3 ladies &3 gents can be seated at a round table so that any two & only two of the ladies sit together.the number of ways is
Click here to see answer by Edwin McCravy(20054)

Question 876339: Given the digits 0,1,1,2,4,5,7,7
How many three digit numbers can be made from them?

Click here to see answer by Edwin McCravy(20054)

Question 881547: using the digits 0-9 determine how many 7 digit numbers can be constructed according to the following criteria. The number must be odd and at least 5 million
Click here to see answer by josmiceli(19441)

Question 881682:
Click here to see answer by Edwin McCravy(20054)

Question 881600: How many 3 digit number can be formed with the follwing numbers 1,2,3,4,3,2
Click here to see answer by Edwin McCravy(20054)

Question 880632: Seven friends play a game. Each person writes his or her name on a piece of paper, and the papers are randomly redistributed. Find the probability that each person gets back his or her own name.
Click here to see answer by Edwin McCravy(20054)

Question 881696: How many different ways can 2 positions be filled with 5 people

Click here to see answer by ewatrrr(24785)

Question 881841: In how many ways can bricks be laid to fill a wall of length 6 feet using bricks which are 1 foot and 2 feet long.
Click here to see answer by stanbon(75887)

Question 881935: Out of 18 students how many different ways can groups of 6 be made out of a class of children, if the class contains a set of twins which can't be separated?

Click here to see answer by stanbon(75887)

Question 881876: _+_+_+_+_=30
fill the boxes using(1,3,5,7,9,11,13,15) u can also repeat the numbers

Click here to see answer by richard1234(7193)

Question 881956: Eight men and six women are to line up for a picture with the eight men in the middle. How many ways can this be done? (Assume there are three women on each side of the group of men)
Click here to see answer by Edwin McCravy(20054)

Question 882030: _+_+_+_+_=30
fill the boxes using
(1,3,5,7,9,11,13,15) u can also
repeat the numbers
Click here to see answer by richwmiller(17219)

Question 882030: _+_+_+_+_=30
fill the boxes using
(1,3,5,7,9,11,13,15) u can also
repeat the numbers
Click here to see answer by marialeona(1)

Question 882216: How many permutations
Click here to see answer by richwmiller(17219)

Question 882220: How many lisence plates can be produced from a 3 digit 3 letter combination. For 1. repeating 2 non repeating
Click here to see answer by Simnepi(216)

Question 882467: A club have 48 members, How many ways are there to choose four members of the club to serve on an executive committee?
Click here to see answer by ewatrrr(24785)

Question 882493: Solve this equation:
◻ + ◻ + ◻ + ◻ + ◻ = 30
You can use the numbers 1, 3, 5, 7, 9, 11, 13, 15. You can repeat the numbers any number of times!
Click here to see answer by richwmiller(17219)

Question 882738: The range rule of thumb can be used to estimate the standard deviation of a distribution. If the minimum value in a data set is 400 and the maximum value is 1200, what is the standard deviation.
Click here to see answer by ewatrrr(24785)

Question 882745: you are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black.
Click here to see answer by Fombitz(32388)

Question 882765: In how many ways can 40 objects be positioned in a circle with 7 spaces? I would like to know the formula so that it can be programmed in Grasshopper.
Thanks!
Click here to see answer by ewatrrr(24785)

Question 883005: Solve this..
Click here to see answer by richwmiller(17219)

Question 883001: Solve this..
◻➕◻➕◻➕◻➕◻=30
Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15)
U can also repeat the numbers..
Click here to see answer by JulietG(1812)

Question 882921: A committee of 8 people randomly chooses 3 people in order to be president, vice president, and treasurer. In how many ways can the officers be chosen?

Click here to see answer by Alan3354(69443)

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