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

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Question 853919: Raul has to choose 3 of the 5 toppings for his frozen yogurt. How many different combinations of toppings are possible?
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Question 854122: Dan has 6 different pants that match with 4 different shirts. How many shirt-and-pants combinations can he make if he selects one shirt and one tie?
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Question 853648: Six members of a group of nine are to be selected to a team. How many ways are there to select these six members?
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Question 853593: You want to make five letter codes that use the letters A F E R and M without repeating any letter. What is the probability that a randomly chosen code starts with M and ends with E. (put in decimal form)
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Question 854281: 35 percent of the students were seated. If 91 students were not seated, how many students were there in all?
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Question 854361: ( How many new arrangement s can be made from the letters of the word FAVOUR, so that the vowel will occupy even place
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Question 854388: In how many ways chairman vice chairman and secretary of a board of 8 members be selected amongst themselves
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Question 854720: Probability of rain tomorrow is 0.2, probability of snow tomorrow is 0.3, what is probability that it will neither rain nor snow tomorrow?
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Question 854717: You have a deck of cards (52 cards). You draw one card and you can sense it is a black card. Given it is a black card what is probability it is not an ace?
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Question 854724: How many letter combinations can be made with the word square with the first letter starting with a vowel?
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Question 854766: In how many ways can 8 people A,B,C,D,E,F,G and H be seated in a row if there are no restrictions on seating arrangement?
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Question 854771: find the number of ways to take 20 objects and arrange them in group of at a time where order does not matter
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Question 854774: "In how many ways can 8 people A, B, C, D, E, F, G and H be seated in a row if persons A and B must not sit next to each other?"
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Question 855190: hello how to i do this? . An instructor asks 12 questions on a test. The student is asked to select and
answer 10 of these questions. IN how many ways can the questions be
chosen?
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Question 855278: Simplify 7!

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Question 855288: There are 24 students in a fraternity. In how many ways can a committee of 6 students be select?
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Question 854970: if three friends are going to a movie in how many different ways can they line up to buy their tickets?

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Question 854864: how many ways can there the letters in the word capitol be arranged if the first letter must be p?
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Question 855297: Find the number of combinations (subsets) of 9 things taken 5 at a time
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Question 854716: You want to choose 2 friends among your total 81 friends. You many ways can you do that?
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Question 855244: suppose we have 10 rooms and want to assign five of them to five man,and remaining 5 for women. explain how many way we can assign?
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Question 855308: Use a systematic listing to determine the number of ways you can roll a total of 7 on the two dice.
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Question 855309: Determine the number of permutations (arrangements) possible of 10 things taken 2 at a time.
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Question 855367: What is the probability of the following?
Have 25 people total; 20parents and 5 teachers. Need a committee of 4 formed containing 1 teacher and 3 parents.
Click here to see answer by Alan3354(69443)

Question 855649: There are four envelops and 4 letters. In how many ways wrong choices be made ?
Click here to see answer by harpazo(655)

Question 855792: How many distinguishable nine-letter arrangements can be made with the letters in the following word:
SPRINGBREAK
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Question 855841: For a five-digit zip code, the first four digits can be any of the digits 0-9 and the fifth any of the digits 1-8. For the plus zip code, the first three digits can be any of the digits 0-9 and the fourth any of the digits 1-9. How many possible five- digit codes are there? How many possible plus four digit zip codes are there?
Click here to see answer by ewatrrr(24785)

Question 855740: There are five times as many boys as girls at a party.after 124 boys left the party and another 142 girls entered the party,there was an equal number or boys and girls.how many boys were at first?
Click here to see answer by ankor@dixie-net.com(22740)

Question 855962: f 5 pupils are seated on each bench in a classroom, 4 will be left without a place. If 6 pupils are seated on each bench, 2 places remain on one bench. How many pupils and how many benches are there?

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Question 856095: there are 25 students in a fraternity. In how many ways can a committee of 5 students be selected?
Click here to see answer by stanbon(75887)

Question 856093: How many different five-digit whole numbers may be formed from the digits 1,2,3,4 and 5 if repeated digits are allowed? How many of the numbers so formed are greater than 30,000?
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Question 856100: How many cards must be drawn (without replacement) from a standard deck of 52 to guarantee that twelve of the cards will be of the same suit.
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Question 856104: Simplify 3!
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Question 856104: Simplify 3!
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Question 856104: Simplify 3!
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Question 856105: Determine the number of permutations (arrangements) possible of 6 things taken 5 at a time.
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Question 856105: Determine the number of permutations (arrangements) possible of 6 things taken 5 at a time.
Click here to see answer by stanbon(75887)

Question 856138: In how many ways can a president and a secretary be chosen from a group of 6 people?
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Question 856107: Evaluate the expression
17! over 14! 3!
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Question 856107: Evaluate the expression
17! over 14! 3!
Click here to see answer by Alan3354(69443)

Question 856254: I have nine people how many different groups of six people can i get
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Question 856500: Permutations
a) How many ways can 3 people be placed in one line where order is important? This is permutation.
This is my first time using this site, could you also explain how you would figure this out on a graphics calculator (Texas Instruments TI-84 plus) i.e. what I would need to type in in order to get an answer (nPr?).
Thank you.
Click here to see answer by Theo(13342)

Question 856472: How many permutations are in:
Entree
Arrange
Thereafter
Mississippi
And why is this the case?
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Question 856919: Fifteen people decide to form a bowling league. In how many ways can the 15 people be divided into 3 teams of 5 each?
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Question 856928: How many permutations can be made out of the letters of the word 'BUSINESS'? How many of these begin with B and end with N ?
Click here to see answer by stanbon(75887)

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