# 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 404316: If a multiple-choice test consists of 5 questions each with 4 possible answers of which only 1 is correct, In how many ways can a student check off one answer to each question and get only the answer to the first question right? Click here to see answer by sudhanshu_kmr(1152)

 Question 404417: How do you answer 26! It seems the bigger the number we get a scientific notation. What is an easy way to answer n! if n is a big number? Click here to see answer by richard1234(5390)

 Question 404572: 1. A drawer contains 10 pairs of loose, unpaired socks. Three pairs are black, 4 are gray, and 3 are brown. If you remove 2 of the socks, what is the probability that they will match? Click here to see answer by sudhanshu_kmr(1152)

 Question 404758: Suppose you have a group of six men and three women; you want to line them up so that no two women are standing next to each other. In how many ways can this be done? I know there has to be an easier way to figure this out than to just write M/F in combination until all of the combination's are exhausted (which is the method my classmates have done, and they have answers ranging from 12 to 30 ways) - we just have not gone over the actual formulas for this, and I can't figure it out from the textbook. Click here to see answer by sudhanshu_kmr(1152)

 Question 404520: In how many ways can we form three groups of people from 5 people, with each of the two groups consisting of 2 people, and the last group with only one person? In how many ways can we form 4 groups of people from 11 people, where one group consists of 4 people, another group has 3 people, and each of the two remaining groups consisting of 2 people? The order of the grouping doesn't matter. Click here to see answer by sudhanshu_kmr(1152)

 Question 405166: A typical social security number is 413-22-9802. If a social security number is chosen at random, what is the probability that all the digits will be the same? (social security number may begin with 0). The answer is supposed to be 1/10^8 Thanks. Click here to see answer by Edwin McCravy(8904)

 Question 405233: How many five-digit numbers can be formed using the elements from the set {2,3,4,7,8} if elements may be used more than once in a number? Click here to see answer by sudhanshu_kmr(1152)

 Question 406031: Assume a telephone number consists of 8 digits, and the first and last digits cannot be 0. (a) If repetitions are allowed, how many telephone numbers are possible if (i) there is no restriction; (ii) they are odd and start with 2? (b) If repetitions are not allowed, how many telephone numbers are possible if (i) there is no restriction; (ii) they are divisible by 3 and the first digit is less than 5. Click here to see answer by sudhanshu_kmr(1152)

 Question 406547: XYZ- how many different ways to express these letters? Click here to see answer by richard1234(5390)

 Question 407243: a disc jockey wants to select four songs from a new cd of 12 songs. How many ways can the disc jockey choose four songs? 12 X 11 X 10 X 9 = 11880 He can choose any of 12 songs for his 1st song, then anyone of the remaining 11 for the 2nd, and so on. Click here to see answer by unit(6)

 Question 407349: Margaret needs to pick players for her dodgeball team. If Margaret needs 5 playersand has 8 people to choose from how many different combonations can she make? Click here to see answer by stanbon(57290)

 Question 407388: how many different ways can you arrange 10 letters.? Click here to see answer by jim_thompson5910(28548)

 Question 407875: I can't seem to figure out this problem, can you help me? find the number of outcomes of a space sample associated with this experiment: picking 2 letters from the alphabet (no repetitions allowed; assume order is important) I appreciate all your help! Click here to see answer by jim_thompson5910(28548)

 Question 407490: How many three-digit odd numbers can be formed using the numbers 1,2,3,4,5,6, and 7? Click here to see answer by sudhanshu_kmr(1152)

 Question 408719: a restaurant offers 10 entrees. if a party of 6 arrives for dinner, whats the probability that at 2 people will choose the same entree.. Click here to see answer by richard1234(5390)
 Question 408719: a restaurant offers 10 entrees. if a party of 6 arrives for dinner, whats the probability that at 2 people will choose the same entree.. Click here to see answer by sudhanshu_kmr(1152)

 Question 408628: A college student eats all his meals at a restaurant offering 6 breakfast specials and 4 dinner specials. How many days can he go without repeating an entire days menu? Click here to see answer by ewatrrr(10682)

 Question 409323: A teacher has a class consisting of 8 BOYS and 4 GIRLS. How many groups of 5 can he make if: -in every group there should be AT LEAST 1 girl?.. Thanks so much in advance. I'm not really sure how to solve for this... ^_^ God Bless please send me the answer ASAP! :D it's our assignment thank you! Click here to see answer by stanbon(57290)
 Question 409323: A teacher has a class consisting of 8 BOYS and 4 GIRLS. How many groups of 5 can he make if: -in every group there should be AT LEAST 1 girl?.. Thanks so much in advance. I'm not really sure how to solve for this... ^_^ God Bless please send me the answer ASAP! :D it's our assignment thank you! Click here to see answer by sudhanshu_kmr(1152)

 Question 409744: A student must pick 5 books out of 20 to read in a specific order. How many ways could the student do this? Click here to see answer by stanbon(57290)
 Question 409744: A student must pick 5 books out of 20 to read in a specific order. How many ways could the student do this? Click here to see answer by sudhanshu_kmr(1152)

 Question 409747: Suppose that you are playing a board game that has a spinner with 10 equal spaces. Suppose in a single game there was a total of 219 spins and 37 of them were the number 1. What is the classical probability of spinning a 1? In the long run, what would you expect the probability of a 1 to be? What is the empirical probability of spinning a 1? Click here to see answer by stanbon(57290)

 Question 410089: in how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together? Click here to see answer by sudhanshu_kmr(1152)

 Question 410007: In how many different ways can the letters of the word “trigonometry” be arranged if a vowel must be the first letter of each permutation? Click here to see answer by sudhanshu_kmr(1152)

 Question 410233: How many three-digit numbers can be formed using elements from the set if no element may be used more than once in a number and the number must be odd? Click here to see answer by stanbon(57290)
 Question 410233: How many three-digit numbers can be formed using elements from the set if no element may be used more than once in a number and the number must be odd? Click here to see answer by sudhanshu_kmr(1152)

 Question 410825: The number of combinations of 2 objects from 'n' is equal to the number of combinations of 3 objects from 'n'. Determine 'n'. Click here to see answer by richard1234(5390)
 Question 410825: The number of combinations of 2 objects from 'n' is equal to the number of combinations of 3 objects from 'n'. Determine 'n'. Click here to see answer by sudhanshu_kmr(1152)

 Question 411767: Can you help me figure this out? five-digit locker combinations are assigned using the digits 1-9. in how many ways can the combinations be formed if no digit can be repeated? Click here to see answer by sudhanshu_kmr(1152)

 Question 411769: There are five boys and seven girls. In how many ways can you arrange all kids in a row so that no two boys are together? thanks! Click here to see answer by sudhanshu_kmr(1152)

 Question 412062: How many permutations are there of the letters of each word? Show work a) universal b) committee Click here to see answer by sudhanshu_kmr(1152)

 Question 412296: I was wondering if I could get an answer to see if I did this problem right? How many different 6 letter words (real or imaginary) can be formed from the word MAYHEM? 6!/2!= 6*5*4*3*2/2*1 6*5*4*3=720 I hope I did this right. Kim Click here to see answer by stanbon(57290)
 Question 412296: I was wondering if I could get an answer to see if I did this problem right? How many different 6 letter words (real or imaginary) can be formed from the word MAYHEM? 6!/2!= 6*5*4*3*2/2*1 6*5*4*3=720 I hope I did this right. Kim Click here to see answer by sudhanshu_kmr(1152)

 Question 130512: A seven digit phone number consists of a three-digit prefix followed by four digits. How many different phone numbers are possible for a particular prefix? Click here to see answer by extrella(1)

 Question 412390: 1.how many ways can 5 people occupy 8 chair if no two people are to occupy the same chair? i do not understand why this question have to use permutation instead of combinations. >.<" Click here to see answer by Theo(3458)

 Question 412393: A teacher has asked 15 studentsto come out , 6 of them assigned to do math,5 of them assigned to do chinese,4 of them assigned to do english. how many ways can the assignment be made? Click here to see answer by tallgirl84(3)
 Question 412393: A teacher has asked 15 studentsto come out , 6 of them assigned to do math,5 of them assigned to do chinese,4 of them assigned to do english. how many ways can the assignment be made? Click here to see answer by sudhanshu_kmr(1152)

 Question 410237: Tom has 3 pairs of pants, 4 different colored dress shirts 3 sports jackets, 9 ties, and 1 pairs of dress shoes in his closet. How many different outfits can he select? Any combination of pants, shirt, jacket, tie and shoes is acceptable to him. Click here to see answer by tallgirl84(3)
 Question 410237: Tom has 3 pairs of pants, 4 different colored dress shirts 3 sports jackets, 9 ties, and 1 pairs of dress shoes in his closet. How many different outfits can he select? Any combination of pants, shirt, jacket, tie and shoes is acceptable to him. Click here to see answer by sudhanshu_kmr(1152)

 Question 405672: Suppose that in a senior college class of 500 students it is found that 210 smoke, 258 drink alcoholic beverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 97 smoke and eat between meals, and 52 engage in all 3 of these bad health practices. If a member of this senior class is selected at random, find the probability that the student: eats between meals but does not drink alcoholic beverages nor smokes. Click here to see answer by tallgirl84(3)

 Question 412530: how many 4-digit pins are possible if the first digit may not be a zero, and one of the digits may be repeated? Click here to see answer by Alan3354(30993)

 Question 412513: Each hour I can choose 1 of 4 different classes to attend. After 11 hours, how many combinations of different classes would there be. Click here to see answer by sudhanshu_kmr(1152)

 Question 412777: How many 7-digit numbers can be formed if the first digit cannot be 0 or 9 and if the last digit is greater than or equal to 4 and less than or equal to 5? Repeated digits are allowed. I do not even remotley understand how to start this problem. Please explain how you got the answer so that I can learn this. Click here to see answer by solver91311(16877)

 Question 412869: Hi! I have a test tomorrow on this and I know how to do this type of problem, but don't know how to multiply them.... the problem is: 5C3 (5 choose 3) x 4C2 (4 choose 2) Do I have to do both of them and multiply the results or is there a formula for this? Thanks in advance~ Click here to see answer by edjones(7569)

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