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

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Question 869857: you go to a restaurant where you can select one main course from two main course choices, 1 vegetable from 4 vegetable choices and one beverage from 4 beverage choices. how many different combinations can you order?
Click here to see answer by Fombitz(32388)

Question 869865: How many odd 4 digit numbers can be formed using digits 0 to 9 such that digits cannot repeat?
Click here to see answer by ewatrrr(24785)

Question 869868: A company has 6 digit ID numbers consisiting of numbers 0-9. How many ID numbers contain no 7's and have no repeated digits
Click here to see answer by Fombitz(32388)

Question 869925: I have 7 CDs I want to select 4 to play in my car CD player. In how many ways can I select 4 of 7 CDs?
Click here to see answer by Alan3354(69443)

Question 869925: I have 7 CDs I want to select 4 to play in my car CD player. In how many ways can I select 4 of 7 CDs?
Click here to see answer by stanbon(75887)

Question 869961: What's are all the ways you can create a six digit password outs of the numbers 0 through nine
Click here to see answer by jim_thompson5910(35256)

Question 869991: If 3 books are picked at random from a shelf containing
5 novels, 3 books of poems, and a dictionary,
what is the probability that
(a) the dictionary is selected?
(b) 2 novels and 1 book of poems are selected?
Click here to see answer by ngahoro(1)

Question 870011: 5 boys & 3 girl seated in a row. in how many ways they can be arranged that all girls seated side by side.

Click here to see answer by ben720(159)

Question 870213: Out of 5 mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3 physicists is to be formed. In how many ways this be done if one particular physicist must be on the committee?
Click here to see answer by jim_thompson5910(35256)

Question 870483: A forensic team is traveling to a distant school for a debate. Only 7 travel tickets are available of which 2 must be used by faculty. How many ways are there to select a team from a forensics club of 20 students and 4 faculty?
Click here to see answer by ewatrrr(24785)

Question 870485: Out of 15 workers, 6 workers are assigned to a jobsite A, 4 to jobsite B and 5 to jobsite C. How many different ways can the worker be assigned?
Click here to see answer by Edwin McCravy(20054)

Question 870469: There is a group of seven women and nine men, if they plan to make a committee of 5 with at least one woman how many possibilities are there? at least one man and one woman?
Click here to see answer by Edwin McCravy(20054)

Question 867987: How many three-digit odd numbers are possible if the leftmost digit cannot be zero?

Click here to see answer by Edwin McCravy(20054)

Question 866702: the no. of 4 digit numbers formed with the digits 1,1,2,2,3,4
Click here to see answer by Edwin McCravy(20054)

Question 869703: how many different ways can 8 people wait in line to see a movie?
Click here to see answer by Edwin McCravy(20054)

Question 870644: How many ways can 6 books be arranged?
Click here to see answer by jim_thompson5910(35256)

Question 333341: the number of ways in which 12 students can be equally divided into three group is
a)5775 b)7575 c)7755 d)none of these
Click here to see answer by anujtotla(1)

Question 870763: ten horses are entered in a horse race. hOW MANY PERMUTATIONS OF FIRST, SECOND AND THIRD PLACE FINISHERES ARE THERE?

Click here to see answer by ewatrrr(24785)

Question 870787: How many ways can the letters in the word Tallahassee be arranged?
Click here to see answer by ewatrrr(24785)

Question 870779: A password must be 8 characters in length, composed of any uppercase letters the digits 0-9 and must begin or end with a special character ! + $ or &. Finally without any repeating characters, how many possible passwords can be made?
Click here to see answer by Fombitz(32388)

Question 871143: If a state wants each of its license plates to contain 8 different digits, how many different license plates can it make if any of the digits 0 through 9 can appear in any of the 8 positions?
Click here to see answer by josmiceli(19441)

Question 871528: I would be so grateful if you could assist. I have a very simple question, I believe, which is as follows.
A Hebrew word consists of 3 consonants, and the Hebrew alphabet of 22 consonants.
How many permutations of 3 can be extracted from 22?
Also how many permutations of 2 consonants and how many of 4?
The answer should provide a theoretical maximum for the number of Hebrew words in existence, now and/or in the past. The numbers will form part of some research on the Hebrew origins of English.
I hope you can help. I have done a calculation myself, but don't trust my own judgement, I regret. Such was algebra when I was at school.
Danny Israel.

Click here to see answer by Edwin McCravy(20054)

Question 871432: Given the digits (1,1,2,2,2,5):
a) How many 6 digit numbers can be formed?
b) How many 6 digit numbers are divisible by 5?
Click here to see answer by Edwin McCravy(20054)

Question 871546: There are 9 students in a class: 4 boys and 5 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?
Click here to see answer by ewatrrr(24785)

Question 871513: I have tried to answer this question only by finding as many words as I can. (I have found 209) How many words can be made from the letters in the word "passenger" when the two ees and two esses are all used? I hope this question isn't too easy for you.
Don
Click here to see answer by Edwin McCravy(20054)

Question 871430: How many different 5-digit numbers can I make if I cannot have repeated numbers?
Click here to see answer by Edwin McCravy(20054)

Question 871361: If a family has seven children, in how many ways could the parents have four boys and three girls?
Click here to see answer by Edwin McCravy(20054)

Question 871138: In how many ways can give children be assigned to two locations in a line?
Click here to see answer by Edwin McCravy(20054)

Question 870966: In how many ways can 7 people be seated in a row of 9 chairs if Jane and Joe must sit next to each other?
Click here to see answer by Edwin McCravy(20054)

Question 870926: This question is about the Multiplication Property of Equality.
x/-9=-3
-9(x/-9)=-9(-3) How does the -9 outside of the ( ) reduce (x/-9) to x? Shouldn't it be -9(-9)=81?
x=27
Click here to see answer by Edwin McCravy(20054)

Question 871636: From a group of eight boys and five girls, a boy and a girl will be selected to attend a conference. In how many ways can the selection be made.
Click here to see answer by ewatrrr(24785)

Question 871633: A club consists of 10 men and 12 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of five people?
Click here to see answer by ewatrrr(24785)

Question 871657: A history teacher gives a 14-question true-false exam. In how many ways can the test be answered if the possible answers are T or F or possibly to leave the answer blank?
Click here to see answer by ewatrrr(24785)

Question 871687: Prove that nC( n-1 ) = n
Click here to see answer by richard1234(7193)

Question 871971: At a pizza parlor, Jerome has a choice of pizza toppings and sizes. The topping choices are sausage, onions, and pineapple. The size choices are mini and small. Draw a tree diagram that shows the number of possible pizza combinations that Jerome can order.
Click here to see answer by ewatrrr(24785)

Question 872022: there are 5 women and 5 men at a party,in how many ways can be paired into five couples?
Click here to see answer by Fombitz(32388)

Question 872025: from a group of 5 men and 6 women how many committees of 4 men and 3 women can be formed?
Click here to see answer by ewatrrr(24785)

Question 872091: At random, a coach chooses a 5-member math team from a club that consists of 3 boys and 5 girls. What is the probability that Jane, a member of the club, is not chosen for the team?
Click here to see answer by ewatrrr(24785)

Question 872131: security code that is 5 numbers in length using 10 numbers. You may repeat numbers.
How many permutations do you have?
Click here to see answer by Alan3354(69443)

Question 872190: How many different arrangements of four books on a shelf could you make from eight books?
Click here to see answer by Edwin McCravy(20054)

Question 872193: How many possible way can you randomly select two students from a class of six student
Click here to see answer by Edwin McCravy(20054)

Question 872193: How many possible way can you randomly select two students from a class of six student
Click here to see answer by ewatrrr(24785)

Question 872052: Of 16 possible books you plan to take 8 with you on vacation, how many different collections of 8 can you bring?
Click here to see answer by Edwin McCravy(20054)

Question 869260: The relationship shown in the table is a direct variation.
x = 5, y = 15; x = 6, y = 18; x = 7, y = 21; x = 8, y = 24
Which equation best represents this relationship?
f y = 4x - 5
g y = x + 10
h y = 3x
j y = (1/3)x

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