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

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Question 663055: How many subsets with more than two elements does a set with 100 elements have?

Click here to see answer by MathLover1(20849)

Question 663296: Good day,
I want to make sandwiches. If I have 100 available ingredients, how do I determine how many permutations of the sandwich are possible?
Best regards,
Guy
Click here to see answer by Alan3354(69443)

Question 664364: helpppp! please and thanks;
Construct a tree diagram showing all four-letter arrangements, without repetition, from the set:
{D, S, U, X} to answer the question below.
How many arrangements have all consonants?
explain how you came up with the answer, thank you!
Click here to see answer by lynnlo(4176)

Question 664394: PLEASE HELP!!!!!!!!!!!!!!!1
Construct a tree diagram showing all four-letter arrangements, without repetition, from the set:
{D, S, U, X} to answer the question below.
What are the total number of possible arrangements?

Click here to see answer by lynnlo(4176)

Question 664407: Please help!!!
Construct a tree diagram showing all four-letter arrangements, without repetition, from the set: {D, S, U, X} to answer the question below.
How many arrangements have no vowels?

possible answers: 0,12,10.
explain too please, and thanks.
Click here to see answer by lynnlo(4176)

Question 664403: helpppp! please and thanks;
Construct a tree diagram showing all four-letter arrangements, without repetition, from the set:
{D, S, U, X} to answer the question below.
How many arrangements have all consonants?
possible answers are 0, 10, and 15.
explain how you came up with the answer, thank you!
Click here to see answer by lynnlo(4176)

Question 664362: please help me!
Construct a tree diagram showing all four-letter arrangements, without repetition, from the set: {D, S, U, X} to answer the question below.
How many arrangements have no vowels?
explain how you got answer please.
Click here to see answer by lynnlo(4176)

Question 664361: Please help!
Construct a tree diagram showing all four-letter arrangements, without repetition, from the set:
{D, S, U, X} to answer the question below.
What are the total number of possible arrangements

explain how you got the answer please!
Click here to see answer by lynnlo(4176)

Question 665092: How many ways can a male and a female be selected to decorate for a party from a club consisting of ten members where six are men and four are women?
Click here to see answer by ewatrrr(24785)

Question 665102: Please help!!!
Construct a tree diagram showing all four-letter arrangements, without repetition, from the set: {D, S, U, X} to answer the question below.
How many arrangements have no vowels?
possible answers: 0,12,10.
explain too please, and thanks.
Click here to see answer by ewatrrr(24785)

Question 500395: find the number of ways to arrange the letters in MINIMUMS
Click here to see answer by kevwill(135)

Question 665627: You can answer any 18 questions from the 23 questions on an exam. In how many different ways can you choose the 18 questions, assuming that the order in which you choose the questions is irrelevant?
Click here to see answer by DrBeeee(684)

Question 665855: How many different tips can you leave in a restaurant if you had a nickel, a dime, a quarter, a half dollar and a dollar coin? The answer is 32, but how do you derive that?
Click here to see answer by Alan3354(69443)

Question 666145: If I pick 3 letters at a time from the word, MISSISSIPPI, how many combinations, I can get?
Click here to see answer by swincher4391(1107)

Question 666386: In how many ways can 6 ice cream toppings be chosen from a list of 11 available toppings
Click here to see answer by swincher4391(1107)

Question 666398: A political polling organization wishes to select a smaller focus group from a group of of 10 Republicans, 4 Democrats, and 1 Independents. In how many ways can the group be chosen under each of the following conditions.
a) It must consist of 4 Republicans and 2 Democrats?
b) It must consist of 1 Republican, 4 Democrats, and 1 Independent?
Click here to see answer by swincher4391(1107)

Question 666396: Evaluate the following expressions.
a) C(11,4)
b) C(19,3)

Click here to see answer by swincher4391(1107)

Question 666393: A "bit" is a computer term for one of the digits 0 or 1. A "bit-string" of length 9 is a sequence of 9 digits, all of which are either 0 and 1.
a) How many bit strings of length 9 are there?
b) How many bit strings are between 8 and 9 bits long?
Click here to see answer by swincher4391(1107)

Question 666531: Prove that nC r + nCr-1 = n+1Cr
Click here to see answer by sachi(548)

Question 666676: Please help!
Evaluate the expression 12! using a calculator.
---
8!
Please explain how to do this!

Click here to see answer by swincher4391(1107)

Question 666676: Please help!
Evaluate the expression 12! using a calculator.
---
8!
Please explain how to do this!

Click here to see answer by solver91311(24713)

Question 666715: When 12 computers are tasted at least 1 of them is free of defect. what does it mean in other word?
Click here to see answer by Edwin McCravy(20054)

Question 667073: how many ways is it possible to choose exactly 3 clubs from a deck of 52?
Click here to see answer by swincher4391(1107)

Question 667294: Michelle Cook's collection of eight country music albums includes "when the sun goes down" by kenny chesney. Michelle will choose three of her albums to play on a drive to Nashville, (assume order is not important)
a) How many different sets of 3 albums could she choose?
b) how many of these sets would not include "when the sun goes down"?
c) how many of them would include "when the sun goes down"?
please explain how to figure it out. thanks for your help.
Click here to see answer by ewatrrr(24785)

Question 667247: How many four letter permutations can you form from the letters in the following words:

CAR

CASTLE

TALL

BELITTLE

Click here to see answer by TiffanyL1990(7)

Question 667489: 24C11 ?! Please help how to figure it out!
Click here to see answer by stanbon(75887)

Question 667736: How many ways can 2 alphabets be chosen from the word REAL and 1 alphabet from the word ITY?
Click here to see answer by lynnlo(4176)

Question 667996: If you draw a single card from a standard deck of 52-cards, in how many ways could it be a diamond or a face card?
Click here to see answer by Edwin McCravy(20054)

Question 667999: Using the 36 possibilities found in the product table for rolling two dice, list the outcomes for which the sum is a multiple of 3.

Click here to see answer by Edwin McCravy(20054)

Question 668056: Four people are needed to search a missing dog. Ten people volunteer. In how many ways
can the four people be chosen? I put C(10,4)= 210. Not quite sure.
Click here to see answer by Tatiana_Stebko(1539)

Question 668255: There are 20 students in the class. How many different seating charts can you make?
Click here to see answer by stanbon(75887)

Question 668388: dear math teachers,
this is a combinatoric question. if nC2=10C2 solve for the value of n.
Click here to see answer by lynnlo(4176)

Question 668388: dear math teachers,
this is a combinatoric question. if nC2=10C2 solve for the value of n.
Click here to see answer by Edwin McCravy(20054)

Question 668404: please help me!
Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arrange themselves if Maria is to sit in the aisle seat?
thanks!
Click here to see answer by stanbon(75887)

Question 668416: how many different ways can the position of first base, second base, third base and short stop be filled with a baseball team that consists of 14 players?
Click here to see answer by Edwin McCravy(20054)

Question 668411: how many license plates can be made consisting of 3 letters and 4 numbers, where the numbers and letters cannot be replaced
Click here to see answer by ewatrrr(24785)

Question 668500: What is the Fifth Term in the Binomial expansion of (a-b)exponet 6?
Click here to see answer by swincher4391(1107)

Question 668505: write the binomial expansion of (x+y) exponent 4 as a polynomial in simplest form.
Click here to see answer by swincher4391(1107)

Question 668505: write the binomial expansion of (x+y) exponent 4 as a polynomial in simplest form.
Click here to see answer by jim_thompson5910(35256)

Question 668494: What is the fourth term in the expression of (3x-2)2? <----- ("2" is an exponet)
Click here to see answer by ewatrrr(24785)

Question 668502: what is the third term in the binomial expansion of (2/3x + y)exponet 5?
Click here to see answer by jim_thompson5910(35256)

Question 668497: 1. A class tossed coins and recorded 161 heads and 179 tails. What is the experimental probability of heads? Of tails?
2. If you guess the answers at random, what is the probability of getting at least three correct answers on a five question true-or-false quiz.
NOTE: We reviewed both problems in class.
Click here to see answer by swincher4391(1107)

Question 668520: Please help!!!!
Given a group of 8 women and 11 men, how many different ways are there of choosing one man and one woman for a committee?
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