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

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 412836: a president and vice president must be choosen for the executive committee of an organization. There are 17 voluntereers from the eastern division, and 24 from the western division. If both officers have to be from the same division. In how many ways can the officers be choosen. Click here to see answer by sudhanshu_kmr(1152)

 Question 412838: a president and vice president must be choosen for the executive committee of an organization. There are 17 voluntereers from the eastern division, and 24 from the western division. If both officers have to be from the same division. In how many ways can the officers be choosen. -------------------------------------------------------------------------------- Click here to see answer by sudhanshu_kmr(1152)

 Question 412774: How many 4-letter code words are possible using the first 8 letters of the alphabet when letters are allowed to repeat? I know the answer is 4096, but what is the answer when you cannot repeat letters? and how did you get given answer? Click here to see answer by sudhanshu_kmr(1152)

 Question 412692: I found this problem on the agebra.com website. I have a few problems like this but cannot figure out how to do them. I just dont want the answer I would like to see it worked out so I know how to do my other problems. Any help would be so greatly appreciated. In a shipment of 50 transformers, 7 are known to be defective. If 30 transformers are picked at random, what is the probability that all 30 are nondefective? Assume that all transformers look alike and have an equal probability of being chosen. Thanks, Dave Click here to see answer by sudhanshu_kmr(1152)

 Question 412543: Suppose the group consists of 8 Democrats and 5 Republicans. If a committee of 3 is formed, find: a. The number of different committees b. The number of different committees that have at least one Democrat. Click here to see answer by sudhanshu_kmr(1152)

 Question 413013: How many different teams of 11 players can be chosen from a soccer squad of 16? Click here to see answer by ewatrrr(10682)

 Question 413112: There are six children, three girls and three boys, singing in a school program. As they line up to perform, the choral director insists that the first person be a girl and the last a boy. How many ways can the children line up? Click here to see answer by sudhanshu_kmr(1152)

 Question 413001: I am having trouble solving the following problem: A group of 12 friends goes to a cinema complex that is showing 6 different movies. If the group splits up into subgroups based on movie preferences, how many subgroup combinations are possible? Click here to see answer by sudhanshu_kmr(1152)

 Question 413489: Plz help Q. how many different ways can six officers be assigned to three offices if there will be two in an office? Click here to see answer by sudhanshu_kmr(1152)

 Question 413523: Four-Digit Number. How many four-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if the first digit cannot be 0? Repeated digits are allowed. Click here to see answer by MathLover1(6634)

 Question 413817: Can I get validation on my first part of the problem and help with the second half. I would greatly appreciate it. A gargae door opener has a sequence of 10 switches, each switch has 3 positions (0,1,2). a.) how many codes are possible with these switches. C(10,3)= 720 b.)how many of these codes have exactly 4 twos and exactly 4 ones in them? thanks, Gina Click here to see answer by richard1234(5390)

 Question 414169: I was wondering if someone could tell me if I got these problems right? I am finding this to be a difficult subject. A pin consists of 2 letters followed by 3 numbers (assume repetition is allowed and order is important). a) how many different pin numbers are there? 26*26*10*10*10=676,000 b) what is the proabilty a pin number selected randomly ends in 000? 26*26*9*9*9=492,804 c)what is the probability a pin selected at random begins with AA? 25*25*10*10*10=625,000 d)what is the probability a pin selected at random being with A and ends with 00? 25*26*10*9*9=526,500 e)what is the probability a pin selected at random has a repeated letter and different numbers? 26*25*10*9*8=468,000 Thanks for your time and help, Gina Click here to see answer by stanbon(57374)

 Question 414341: A math quiz has one multiple-choice questions with the answers a,b,c and two true/false questions. What is the probablity of answering all the questions right by guessing? Click here to see answer by sudhanshu_kmr(1152)

 Question 414700: in how mant ways can 3 identical emeralds, 2 identical diamonds and 2 different opals be arranged in a row in a display case Click here to see answer by stanbon(57374)

 Question 414739: how many ways can 9 students (5 girls and 4 boys) be seated in a row if seatings must alternate boy then girl? or girl then boy? Click here to see answer by sudhanshu_kmr(1152)

 Question 415068: how many ways can 5 different books be distributed amongst 10 persons,assuming a person can get any amount of books? Click here to see answer by robertb(4012)

 Question 415610: in how many ways can 4 boys and 3 girls be seated in a row of 7 seats if end seats are to be occupied by boys Click here to see answer by stanbon(57374)

 Question 415616: how many permutations can be made from selecting 4 college courses out of 10 and i had some trouble understanding, four students can choose to write on one of 5 essay topics for their english class . how many different essays can the student write without repetition of the topics? how many different essays can the student write with repetition of the topics? Click here to see answer by stanbon(57374)

 Question 415904: 120 numbers can be made from digits 1,2,3,4,5 if each digit is used once in a number. The smallest number is 12345 and the largest is 54321. If the 120 numbers are listed in order from smallest to largest, what is the 73rd number in the list? Click here to see answer by sudhanshu_kmr(1152)

 Question 416508: There are 17 math team members, they must pick five members to go to regional how many combinations are possible? A.170 B.12,376 C.85 D.6188 Click here to see answer by stanbon(57374)
 Question 416508: There are 17 math team members, they must pick five members to go to regional how many combinations are possible? A.170 B.12,376 C.85 D.6188 Click here to see answer by jim_thompson5910(28595)

 Question 416531: From 250 lottery tickets that are sold, three tickets are to be selected for first, second, and third prizes. How many possible outcomes are there? Click here to see answer by jim_thompson5910(28595)

 Question 416530: Find the number of all the ordered arrangements of 6 objects a, b, c, d, e, and f, choosing 4 at a time without repetition. Click here to see answer by jim_thompson5910(28595)

 Question 416541: How many nine-bit strings contain exactly seven 1s? Click here to see answer by richard1234(5390)

 Question 416529: How many five-digit numbers can be formed using the digits 0 and 6? Repeated digits are allowed. Click here to see answer by josmiceli(9686)

 Question 416693: a company manufactures a television which is found to have a 10% probability of being defective in some way. a sample of 4 televisions is taken. 1) what is the probability that exactly 1 television will be defective? 2) what is the mean of this distribution? 3) what is the standard deviation of this distribution? having issues with these three problems, thank you Click here to see answer by stanbon(57374)

 Question 416849: a box contains 12 quarters and 12 dimes. when the box is turned upside down, two coins fall out at once. the size of the coin has no effect on its probability of falling out of the box. 1) what is the probability that 2 dimes fall out? 2)what is he probability that one dime and one quarter fall out? Click here to see answer by stanbon(57374)

 Question 416817: in how many ways can 8 girls line up in a row if 3 refuse to separate? Click here to see answer by sudhanshu_kmr(1152)

 Question 416926: How many 5 digit zip codes are possible if 00000 is not used? Thanks Denise Click here to see answer by Alan3354(30993)
 Question 416926: How many 5 digit zip codes are possible if 00000 is not used? Thanks Denise Click here to see answer by sudhanshu_kmr(1152)

 Question 417388: Find how many 4 digits number are even and how many 4 digits number are odd. Click here to see answer by sudhanshu_kmr(1152)

 Question 417279: In how many different ways can the startig five players of a basketball team stand in a row for a picture? Click here to see answer by scott8148(6628)

 Question 417733: There are 10 buses. In how many ways can 5 people be assigned to each vehicle if they have to ride on different buses? Click here to see answer by marcovan(4)

 Question 417822: Suppose there are 12 applicants for the same job. In how many ways can 8 of them be selected and scheduled for interviews on the same day, one each hour from 9a.m. to 4.p.m.? Click here to see answer by sudhanshu_kmr(1152)

 Question 417825: A person has 1 brother and 8 cousins. She has a photograph of each person. In how many different ways can she display the photographs in a row if her brother's photo must be right in the middle? Click here to see answer by sudhanshu_kmr(1152)

 Question 417824: How many binary strings of length 9 start and end in 0? Click here to see answer by sudhanshu_kmr(1152)

 Question 417856: I am hoping I can get some help with this problem be cause it just doesn't seem right to me. rounded to the 4th decimal C(5,5)/C(25,5) 1/53130=.0000 ???? Thanks, Dave Click here to see answer by Alan3354(30993)

 Question 417821: Suppose that you have six different vegetables in the refrigerator. In how many ways can you choose four of them to put into your salad? Click here to see answer by marcovan(4)

 Question 417914: Solve. C(6,3) This is what I have tried. 6!/3!*3= 720/18=40 I am not sure if this is correct. Click here to see answer by stanbon(57374)

 Question 417930: How many different arrangements can you make with the letters in the word, Mississippi? This is what I have tried: 11!/4!*4!*2!= 39,916,800/1152=34,650 Is this correct? Click here to see answer by stanbon(57374)

 Question 417988: Using the letters MAMMAL find: a) how many different ways to arrange the letters b) If we insist that the letter M come first and last, how many ways are there? Click here to see answer by Edwin McCravy(8909)

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