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

Tutors Answer Your Questions about Permutations (FREE)

Question 1066455: How many 2 letter combinations can you make with the letters aeio&ua
Click here to see answer by ikleyn(52780)

Question 1066565: How many different license plates can be made if you put 3 digits followed by 3 letters?
Click here to see answer by Alan3354(69443)

Question 1066562:
Click here to see answer by Alan3354(69443)

Question 1066617: Evaluate the given expression.
P(n, n − 2)
Click here to see answer by swincher4391(1107)

Question 1066648: in how ways can a committee consisting of 4 faculty members and 5 students be formed if there are 6 faculty and 12 students eligible to serve on the committee
Click here to see answer by ikleyn(52780)

Question 1066672: Compute the sum
{1}/{sqrt{100} + sqrt{102}} + {1}/{sqrt{102} + sqrt{104}} + {1}/{sqrt{104}+sqrt{106}} + ...+ {1}/{sqrt{9998} + sqrt{10000}}.

Click here to see answer by ikleyn(52780)

Question 1066671: Find the value of
{1}/{1 + {1}/{2 +{1}/{1 + {1}/{2 + ...}}}}

Click here to see answer by ikleyn(52780)

Question 1066758: You Have to answer 3 essay questions for an exam . There are 5 essays to choose from . How many different groups of 3 essays could you possibly choose ?
Click here to see answer by jim_thompson5910(35256)

Question 1066738: A coin is tossed five times. In how many ways can it fall three heads and two tails.
Click here to see answer by KMST(5328)

Question 1066883: If there are 30 songs and you want To burn 18 songs in a CD, how many different ways could you arrange them?
Click here to see answer by Alan3354(69443)

Question 931261: A school choir has 80 students; 36 of them are in seventh grade. Also, 40 students in the choir are girls; 18 of them are in seventh grade. What is the probability that a student picked at random from the choir is either a girl or is in seventh grade?
Click here to see answer by Pcole88(1)

Question 1066985: You have to answer
3 essay questions for an exam. There are 4 essays to choose from. How many different groups of 3 essays could you possibly choose?
Click here to see answer by Boreal(15235)

Question 1067037: in a Black Jack Game;
What is the probability of getting "21" with three cards?
why dealer must draw another card if he/she has 16 or lower?
what are the odds of getting 16, 17?
Does Black Jack have better odds for the dealer or the player?
Click here to see answer by rothauserc(4718)

Question 1067157: A class consist of 10 students (5 boys and 5 girls) and one teacher.In how many ways can the students elect a king or queen from the students in the class( the king must be a boy and the queen must be a girl)?
Click here to see answer by stanbon(75887)

Question 1067142: A three-digit number is formed using digits from 1-5
How many even numbers can be formed using three different digits?
How many even numbers can be formed if digits may be repeated?
How many multiples of five can be formed of digits can be repeated?
Click here to see answer by Edwin McCravy(20054)

Question 1067726: In how many ways can a group of 4 students and a teacher be chosen from 12 students and 4 teachers?
Click here to see answer by Theo(13342)

Question 1067865: I am trying to help my son with this problem! Please show how you get the answer. Thanks!
How many seven-digit phone numbers are available if a digit can only be used once and the first number cannot be 0 or 1?
Click here to see answer by solver91311(24713)

Question 1067957: How many ways are there to choose three officers from a club of 25 people if someone can hold more than one office?
Click here to see answer by math_helper(2461)

Question 1067987: What percent of the cube of 5 is 5?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1068126: How many distinct arrangments in a row of 2 yellow, 3 red and 2 white roses can a florist make? Why is the answer 210 arrangements?
Click here to see answer by stanbon(75887)

Question 1067974: Each person attending a party brings a prize. If there are n people and therefore n prizes, where anyone can get any number of prizes, how many ways can the prizes be distributed so that no one leaves with the prizes he/she brought?
(a) Solve this problem using inclusion/exclusion
(b) There is a much easier solution. What is it?
(c) Use binomial theorem to explain why both answers are the same.
Click here to see answer by ikleyn(52780)

Question 1068090: 30c3=nc4 find n

Click here to see answer by ikleyn(52780)

Question 1068285: If there are 3 identical yellow books, two identical red books, and six identical brown books, how many different patterns are possible if the books are displayed in a row on a shelf.
Click here to see answer by addingup(3677)

Question 1068313: 6 freshmen, 6 sophomores, 7 juniors, and 6 seniors are eligible to be on a committee.
In how many ways can a dance committee of 14 students be chosen if it is to consist of exactly 2 juniors and exactly 3 seniors, and the rest must be freshman or sophomores?
Click here to see answer by Boreal(15235)

Question 1068518: Please help me with this one.
How many integers can be formed that are less than 400 using the numbers 2,3,4,5,6 without repitition

Click here to see answer by Fombitz(32388)

Question 1068619: 5 freshmen, 7 sophomores, 5 juniors, and 6 seniors are eligible to be on a committee.
In how many ways can a dance committee of 13 students be chosen if it is to consist of exactly 4 juniors and exactly 3 seniors, and the rest must be freshman or sophomores?
Click here to see answer by Boreal(15235)

Question 1067036: in a poker game;
What is the probability of drawing a straight flush in one draw of a five-card poker hand?

Click here to see answer by Fombitz(32388)

Question 1068818: For positive integers n > r, show that: a) nCr = nC(n-r) b) nCr = (n-1)C(r-1) + (n-1)Cr
Click here to see answer by swincher4391(1107)

Question 1069054:
Click here to see answer by ikleyn(52780)

Question 1069211: You have 4 flannel shirts. You are going to choose two of them to take on a camping trip. How many outcomes are possible?
Click here to see answer by trsomas23@gmail.com(17)

Question 1069231: (i) Find how many different numbers can be formed using 4 of the digits 1, 2, 3, 4, 5, 6 and 7 if no digit is repeated.
(iii) odd and less than 3000

ans
480
Click here to see answer by ikleyn(52780)

Question 1069219: In how many ways can a committee of 7 students be chosen from 9 juniors and 9 seniors if there must be 4 seniors in the committee?
Click here to see answer by Edwin McCravy(20054)

Question 1068610: 6 freshmen, 6 sophomores, 7 juniors, and 6 seniors are eligible to be on a committee.
In how many ways can a dance committee of 14 students be chosen if it is to consist of exactly 2 juniors and exactly 3 seniors, and the rest must be freshman or sophomores?

Click here to see answer by Edwin McCravy(20054)

Question 1067291: A group of 3 English majors, 2 anthropology majors, and 5 history majors are going out to dinner, where they will sit at a circular table.
If students with the same major need to sit together, how many different ways can the students be seated around the table?
There are __[blank]__ different ways the students can be seated around the table.
Click here to see answer by Edwin McCravy(20054)

Question 1069249: a 6/53 lottery involves choosing 6 of the numbers from 1 through 53 and a 5/36 lottery involves choosing 5 of the numbers from 1 through 36. the order in which the numbers are chosen does not matter. which lottery is easier to win? explain your answer
Click here to see answer by Boreal(15235)

Question 1069490: How many ways can you arrange 3 young, 4 teen, and 5 adult sit around the swimming pool, with the order of teen, young, then adult?
Click here to see answer by Boreal(15235)

Question 1069939: Identify the indicated entry in Pascal�s Triangle by its row and position.

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
Click here to see answer by Alan3354(69443)

Question 1069943: A tutor gives John 5 assignments and asks him to pick 3 to complete.

How many combinations of the 3 assignments are possible?
Click here to see answer by Alan3354(69443)

Question 1070009: Given the Characters A,B,C,H,I,T,U,V,1,2,3 and 4, how many seven-character passwords can be made? (no repeats are allowed.) How many if you have to us all four numbers as the first four characters in the password?
Click here to see answer by Fombitz(32388)

Question 1070214: How many four digit numbered license plates can be made such that NO two plates are identical?
Click here to see answer by Edwin McCravy(20054)

Question 1070214: How many four digit numbered license plates can be made such that NO two plates are identical?
Click here to see answer by Alan3354(69443)

Question 1070245: In how many ways can you choose 30 balls from an unlimited number of blue red green and white balls if you may not choose more than 2 white balls
Click here to see answer by Edwin McCravy(20054)

Question 1070266: how many ways can 8 students in an examination hall be seated in a row if .the best friends dan and eben must seat together
Click here to see answer by ikleyn(52780)

Question 1069877: please help me solve this A school dance committee is made up of 2 freshman, 2 sophomores, 2 juniors, and 3 seniors.
How many ways are there to sit the committee in a row at a meeting if the freshman,sophomores, and juniors must sit by grade, but the seniors can sit wherever they want?
Click here to see answer by Edwin McCravy(20054)

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