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

Algebra ->  Algebra  -> Permutations -> Questions on Algebra: Combinatorics and Permutations answered by real tutors!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

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

 Question 326807: How many different arrangements of the letters in the word ASSISTANT can be formed? Click here to see answer by galactus(183)

 Question 320691: To build a sandwich at a particular restaurant, customers may choose 1 of 3 types of bread, 1 of 4 different types of meat, and 2 of 5 different types of condiments. How many different sandwiches can be created at this restaurant? (Assume that the two accessories chosen must be different.) Click here to see answer by illb1011(1)

 Question 327022: Hi I've been messing with this problem for so long now and I'm still not sure how to start with: There is a true-false quiz with 10 questions. How many possible answer keys are there if the answer to 6 questions are false and the other 9 questions are true? In contrast, would I solve this question the same way: There is a multiple-choice test with 10 questions. 2 of the answers are A, 3 are B, 2 are C and 3 are D. How many possible answer keys are there? Thanks for the help! Click here to see answer by Edwin McCravy(8999)

 Question 327147: A club has 20 members. In how many different ways could they elect a president, a vice president and a three person newsletter committee? Click here to see answer by solver91311(17077)

 Question 328032: Eight first-graders, 4 boys and 4 girls, are playing on the playground. In how many ways can they arrange themselves in a line of 5 consisting of 3 boys and 2 girls? Click here to see answer by nyc_function(2733)

 Question 328616: Compute 7P4 Click here to see answer by Edwin McCravy(8999)

 Question 328615: Compute 3C1 Click here to see answer by Edwin McCravy(8999)

 Question 328611: If a state wants each of its license plates to contain any 7 digits, how many different license plates are possible? Click here to see answer by Edwin McCravy(8999)

 Question 329066: Out of 15 boys and 9 girls, how many different committees can be formed each consisting of 6 boys and 4 girls? Click here to see answer by galactus(183)

 Question 329063: 7. A man leaves office daily at 7pm.a driver with car comes from his home to pick him from office and bring back home. One day he gets free at 5.30 and instead of waiting for driver he starts walking towards home. In the wayhe meets the car and returns home on car. He reaches home 20 minutes earlier than usual. In how much time does the man reach home usually? (A) 1 hr 20 min (B) 1 hr (C) 1 hr 10 min (D) 55 min Click here to see answer by galactus(183)

 Question 329405: A bag contains 9 red balls numbered 1,2,3,4,5,7,8,9 and 6 white balls numbered 10,11,12,13,14,15. One ball is drawn from the bag. What is the probability that the ball is white, given that the ball is odd-numbered? Click here to see answer by stanbon(57967)

 Question 329389: How many ways can a 4-person subcommittee be selected from a committee of 9 people? Click here to see answer by Alan3354(31532)

 Question 329390: How many ways can a president, vice-preseident, secretary and treasurer be chosen from a committee of 9 people? Click here to see answer by galactus(183)

 Question 329406: Assuming there are 365 different birthdays, find the probability that of three people chosen at random: a)no two will have the same birthday b)at least two will have the same birthday Click here to see answer by solver91311(17077)

 Question 329407: An examination consists of 12 questions. If 10 questions must be answered, find the number of different orders in which a student can answer the questions. Click here to see answer by stanbon(57967)

 Question 329437: A bag contains 9 red balls numbered 1,2,3,4,5,6,7,8,9 and 6 white balls numbered 10,11,12,13,14,15. One ball is drawn from the bag. What is the probability that the ball is white, given that the ball is odd-numbered? Click here to see answer by Fombitz(13828)

 Question 329462: Compute the permutation 12P10 Click here to see answer by nyc_function(2733)

 Question 329470: Compute the permutation 8P2 Click here to see answer by nyc_function(2733)

 Question 329439: An examination consists of 12 questions. If 10 questions must be answered, find the number of different orders in which a student can answer the questions. Click here to see answer by nyc_function(2733)

 Question 329984: John is getting his ATM card activated. He must select a password with 4 nonzero digits to be able to use his card. How many passwords are allowed if no digit may be used more than once? Click here to see answer by stanbon(57967)

 Question 330229: There are 12 people playing golf for 4 days. They play in groups of 4. How many combinations are there for them to get to play with everyone? Click here to see answer by stanbon(57967)

 Question 330718: Hanafuda is a japanese game that uses a deck of cards made up of 12 suits, with each suit having four cards. How many 7-card hands can be formed so that 3 are from one suit and 4 are from another? Click here to see answer by stanbon(57967)

 Question 330788: 1)In how many different ways can the 5 starters on the basketball team be assigned to their positions? 2)Using only the odd digits (1, 3, 5, 7, 9) how many different 3-digit numbers can you form (repetitions are allowed)? 3)The menu at the cafeteria lists 3 different sandwiches, 6 different drinks, and 5 varieties of chips. How many different sandwich/chip/drink meals are possible? Click here to see answer by galactus(183)

 Question 331470: how do you figure out 3=x^2-4x Click here to see answer by mananth(12270)

 Question 331658: Number of ways in which p positive and n negative signs may be placed in a row so that no two negative signs shall be together ?. More than an answer I need the reasoning behind the answer. Shammi Click here to see answer by Edwin McCravy(8999)

 Question 331835: You need to make a password for you computer that contains two letters and two numbers that cannot repeat. How many different passwords are possible? Click here to see answer by jrfrunner(365)

 Question 332156: what are the positive and negative roots of f(x)=x^2+4x-5 Click here to see answer by josmiceli(9817)

 Question 332198: a committee of 3 people is to be selected from four women and five men the rules state that there must be at least one man and one women on the committee in how many ways can the committee be chosen Click here to see answer by edjones(7569)

 Question 332309: how many ways can 3 books be placed on a shelf if chosen from a selection of 7 different books? Click here to see answer by nyc_function(2733)

 Question 332426: You have a computer password that consists of 3 digits and 2 lowercase letters. How many passwords are there if no digit or letter can be repeated? What is the probability that you will enter the correct password? Click here to see answer by Alan3354(31532)

 Question 332800: a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many ways can those offices be filled? Click here to see answer by jrfrunner(365)

 Question 333144: how do you order data sets according to increasing standard deviations when have same mean without computations Click here to see answer by jrfrunner(365)

 Question 333157: Determine the number of distinguishable words that can be formed from the letters of MASSACHUSSETTS, MISSISSIPPI, ALABAMA and TAWITAWI. Click here to see answer by nyc_function(2733)

 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 Edwin McCravy(8999)
 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 biggstry(3)

 Question 333324: There are 7 peole assigned in a queue. 5 men and 2 women. what is the probability that the 2 woman sit next to one another? Click here to see answer by galactus(183)

 Question 333367: In how many ways can the word SUNDAY be arranged. How many arrangements begin with S and do not end with Y? Click here to see answer by jrfrunner(365)

 Question 333411: find the number of ways in which an arrangement of of 4 letters can be made from the word MATHEMATICS a)1680 b)756 c)18 d)2454 Click here to see answer by jrfrunner(365)

 Question 333570: in how many ways can five dashes and eight dots be arranged? Click here to see answer by galactus(183)

 Question 333681: 12 people are to be grouped into 3 clubs, 4 people in each club. Each club is then electing a president and a vice president. In how many ways can this be done? Click here to see answer by Edwin McCravy(8999)

 Question 334108: What is the probability of rolling a 4 on a die? Click here to see answer by stanbon(57967)
 Question 334108: What is the probability of rolling a 4 on a die? Click here to see answer by Edwin McCravy(8999)

 Question 334375: The number of plastic straws produced by a machine varies directly as the amount of time the machine is operating. If the machine produces 20,000 straws in 8 hours, how many straws can it produce in 50 hours? Click here to see answer by rfer(12730)

 Question 334373: If the local lunch shop offers chicken, tuna, and vegetable sandwiches on plain, onion, or garlic bagels, how many possible sandwiches can be served? Click here to see answer by nyc_function(2733)

 Question 334572: When seating guests at a round table, two arrangements are considered the same if each person has the same neighbor to the left and to the right in each arrangement. What are the number of unique arrangements when seating 2,3,4, and 6 guests at a round table. Click here to see answer by Edwin McCravy(8999)

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