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

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Question 593709: In how many ways can a six-member committee form a subcommittee with at least two members?
I thought it would be 2^6 - 2 but the answer is suppose to be 57.
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Question 594307: simplify fully
n!-2(n-2)! / (n-2)(n-2)!
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Question 594531: If nPr=55440 and nCr=462nCr =462,determine "\"r\""
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Question 594527: simplify fully: n!-2(n-2)!/(n-2)(n-2)! State any restrictions on "n"

Thank you!
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Question 594643: How many ways can 3 ribbons be awarded to 6 dogs at a show?
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Question 594526: Solve: 3n(n-2)!/(n-3)=105 Solve for "n" State any restrictions.

Thank you!
Click here to see answer by richard1234(7193)

Question 594458: how many ways can you make it a sandwich by choosing 4 of 10 ingredients
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Question 594458: how many ways can you make it a sandwich by choosing 4 of 10 ingredients
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Question 594320: simplify (n-1)C(r-1) + (n-1)Cr
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Question 594788: a restaurant has 5 appetizers, 10 main dishes, 7 desserts and 3 drinks. how many complete meals are possible?
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Question 595094: YOU HAVE 80 MOVIES. HOW MANY COMBINATIONS CAN YOU MAKE WITH 10 MOVIES ?
Click here to see answer by math33(31)

Question 595375: I need help with this math problem.Its a multiple choice & i need to know how you got the answer.
A new area code has been created. The phone number will have 7 digits, but the first digit cannot be 0 or 1. How Many phone numbers are possible in the new area code ?
A- 800,000
B- 1,000,000
C- 8,000,000
D- 80,000,000
Click here to see answer by jim_thompson5910(35256)

Question 595386: Julia has six blouses-green,ivory, lavender, pink, blue, and white. she has four skirts-tan gray, jnavy, and black. how many different combinations of skirts and blouses she can choose? (show me how or what formula to use)
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Question 595415: how many different 3 digit numbers can be made using the digits 1,3,5,7,9 if the number must begin with a 1
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Question 595769: The question is - Mrs.Cabrillo is designing a ring.She can choose the cut of the stone in 23 ways,the setting of the stone in 24 ways, and the metal in 22 ways.In how many ways can she design her ring? Thank you
Click here to see answer by stanbon(75887)

Question 595797: The access code for a car's security system consists of four digits. The first digit cannot be 5 and the last digit must be even or zero. How many different codes are available?
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Question 596236: two cards are drawn from a standard deck of 52 cards without replacement. find the probability that the first card is an ace and the second is a 2.
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Question 596245: Paulo is putting 8 books on a bookshelf.In how many different arrangements can he put the books?
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Question 596379: How many combinations with 12345 without repeating the numbers
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Question 596765: a)how many student must be in class to guarantee that at least three were born in the same month
b) given any set of four integers, must there be two that have the same remainder when divided by 3 ? why?
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Question 596789: In a 20-card playing deck with only 10s, jacks, kings, queens, and aces, what is the probability that a person is dealt a hand of five caeds that are all diamonds?
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Question 596985: in how many ways can you select one algebra book, one geometry book and one calculus book from a collection of 8 different algebra books, 5 different geometry books and 3 different calculcus books
Click here to see answer by jim_thompson5910(35256)

Question 597573: 5p4
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Question 597669: How many different arrangements can be made using all the letters in the word GAME?
Click here to see answer by stanbon(75887)

Question 597719: Prestige Builders has a development of new homes. There are six different floor plans, five exterior
colors, and an option of either a two-car or a three-car garage. How many choices are there for one
home?
Click here to see answer by jim_thompson5910(35256)

Question 597641: explain how to figure out how many chances for president, vice president, and secretary if there are 20 students
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Question 597913: THE NUMBER OF WAYS TO ELECT THREE MEMBERS TO A COMMITTEE FOR A CLUB FROM AMONG TWELVE MEMBERS IS
Click here to see answer by edjones(8007)

Question 597895: From a group of 8 men and 7 women, a committee of 4 is chosen. What is the probability that 2 men and 2 women will be chosen? Please show all of the steps for solving, thanks.
Click here to see answer by edjones(8007)

Question 597893: I have 52 cards in a deck. 5 of those cards are in my hand. One's an ace and the rest are not. How many combinations can I have? (How do I solve it?)
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Question 598180: an east viginia license plate starts with a digit other than 0 or 1, followed by twi capital letters, followed by 3 more digits. how many possible license plates are there?
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Question 598636: Find the number of distinguishable permutations formed by using each of the letters ``AABCD'' once and only once
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Question 598665: You are dealt 5 cards from a shuffled deck of 52 cards. Find the probability that all five cards are picture cards. Give your answer as a decimal to four places.
Click here to see answer by edjones(8007)

Question 599207: An internet site requires a 6 character password made up of 2 digits followed by 4 letters where uppercase letters are not the same as lowercase letters. Without repetition of letters or numbers, how many different passwords can be created?
Click here to see answer by math-vortex(648)

Question 599323: You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 17 children present in your van. How many different groups of 7 children can you drive?
Click here to see answer by jim_thompson5910(35256)

Question 599396: If you can answer any 12 questions from total of 15 questions, how many different ways can you select the questions?

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Question 599401: There are three couples who are attending a movie. If the two members of each couple wish to sit together during the movie, how many ways can the couples be seated?

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Question 600069: A clerk had only 10 vacant rooms left in one hotel. There were 11 men who went into the hotel at the same time, each wanting a separate room. The clerk, settling the argument said, "I'll tell you what I'll do. I will put two men in Room 1 with the understanding that I will come back and get one of them a few minutes later." The men agreed to this. The clerk continued, "I will put the rest of you men as follows:
the 3rd man in Room 2
the 4th man in Room 3
the 5th man in Room 4
the 6th man in Room 5
the 7th man in Room 6
the 8th man in Room 7
the 9th man in Room 8 and
the 10th man in Room 9
Then the clerk went back to get the extra man he had left in Room 1, and put him in Room 10. Everybody is happy. What is the fallacy of this plan?
Click here to see answer by htmentor(1343)

Question 600532: A basketball team consists of 11 players. In how many ways can a coach choose the five starting players, position of the player not being considered
Click here to see answer by jim_thompson5910(35256)

Question 600714: Find the number of ways in which each commitee can be selected.
-3 people from a group of 5
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Question 601074: How many ways can you rearrange 12 eggs ? Do you use 12! Or permutations ?
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Question 601074: How many ways can you rearrange 12 eggs ? Do you use 12! Or permutations ?
Click here to see answer by Edwin McCravy(20054)

Question 601151: In how many ways can the names of eight candidates for political office be listed on a ballot?
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Question 601640: the total number of ways in which six 't' and four '-' signs can be arranged in a line such that no two '-' signs occur together is?
Click here to see answer by Edwin McCravy(20054)

Question 601734: Please help me solve this problem: How many 4-letter code symbols can be formed with the letters P,D,Q,X without repetition?
Click here to see answer by jim_thompson5910(35256)

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