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

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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(75887)

Question 407388: how many different ways can you arrange 10 letters.?
Click here to see answer by jim_thompson5910(35256)

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(35256)

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(7193)

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(24785)

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(75887)

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(75887)

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(75887)

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(75887)

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(7193)

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(75887)

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(13342)

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 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 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(69443)

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(24713)

Question 412876: Please help me solve this problem: You have 5 books. In how many different orders can you read three of the 5 books?
Click here to see answer by edjones(8007)

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(8007)

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.
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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(24785)

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 413290: What is 4C4?
Click here to see answer by kamallohia(18)

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)

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