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

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Question 612429: how do you write 1/10 of a centimeter in decimals
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Question 612429: how do you write 1/10 of a centimeter in decimals
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Question 612566: what is the probability of meeting either a boy or chess player where there are 12 boys in chess, 6 girls in chess, 8 boys not in chess, and 20 girls not in chess?
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Question 612563: Suppose f(x) = x2 + 6x - 91 and g(x) = . At which of these points does the function (fxg)(x) have a hole?
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Question 612577: A student is asked to answer 7 out of 9 questions on an exam,in how many ways can she select the questions to be answered
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Question 612575: what is 8P3? but the numbers should be little on the bottom.
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Question 612592: evaluate the expression (9/3)(4/3)(4/1)
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Question 612768: Hi Team ,
Please help me here ,

i have a requirement that , i need to generate 8 digit word [mix of 26 small letters and 0-9 digits , both are repeatable]
Please give me the count of such words we can generate , Please let me know the probability to repeat the same word twice

Thanks
Kiranreddy.

Click here to see answer by Alan3354(69443) About Me 

Question 612955: How many different 10 letters word (real or imaginary) can be formed from the following letters TPIOOYPUTM
______ten letter words (real or imaginary can be formed with the giver letters.

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Question 613081: The code for a lock consists of 5 digits. The last number cannot be 0 or 1. How many different codes are possible?
Six different books will be displayed in the library window. How many different arrangements are there?
The three best essays in a contest will receive gold, silver, and bronze stars. There are 10 essays. In how many ways can the prizes be awarded?
In a talent show, the top 3 performers of 15 will advance to the next round. In how many ways can this be done?

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Question 613117: Yves and some friends are playing a fair game in which 18 cards are dealt to 6 players. One of the cards is a queen. The player who receives the queen goes first. What is the probability that Yves will go first?
a) 1/18 b) 1/3 c) 1/6 d) 1/13

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Question 613190: Hi,
How many combinations of numbers from 2 through 15 can be created from a base of 3000 numbers? I keep maxing out my calculators (and brain) with this. Exponential answer is preferred.

A practical way to look at this is to think of something like 3000 genes and how many possible combinations linking as few as 2, and as many as 15 genes in a string.
Thanks!

Click here to see answer by scott8148(6628) About Me 

Question 613252: There is a combination lock with 4 numbers, 2 of the numbers must be: 1, 2 or 3 and the other 2 numbers must be: 6, 7 or 8. Write an equation to show the total number of combinations.
Click here to see answer by stanbon(75887) About Me 

Question 613316: (9,5)(5,3)(4,1)Evaluate the expression.

Click here to see answer by Alan3354(69443) About Me 

Question 613394: Your classes are being scheduled for the upcoming school year. You will be taking English, Math, History, PE, Spanish, Woodshop and Computer. What is the probability that Workshop will be scheduled during 1st period and Math during 2nd period?
Click here to see answer by stanbon(75887) About Me 

Question 613523: 4 cards are drawn from an ordinary deck. In how many ways is it possible to draw 3 cards of the same suit?
Click here to see answer by edjones(8007) About Me 

Question 613650: Approximately 80% of American households have a computer. 9 households are randomly selected.
a) What is the probability at least 6 households have a computer?

b) What is the probability at most 3 households have a computer?

A stockbroker gains 3 new accounts, on average, in a week’s time. What is the probability that he gains 15 new accounts in the next 4 weeks?

Click here to see answer by ewatrrr(24785) About Me 

Question 613749: How many ways can a president and a vice president be selected in a class of 25 students
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Question 613749: How many ways can a president and a vice president be selected in a class of 25 students
Click here to see answer by ewatrrr(24785) About Me 

Question 613909: Any four people on a committee of seven people can make a decision for the committee. How may groups of four people are there.
I am reallyngood at math but this chapter just doesnt make sense to me. I get A's on all the assignments but it takes forever for.me to get the right answer. Please help. This is what i attempted to do.
7*6*5*4/4*3*2*1 with an answer of 35

Click here to see answer by stanbon(75887) About Me 

Question 613900: A computer password consists of 3 different digits followed by one of the letters A, B, C, D, or E. If the first digit of the password cannot be a zero, then the number of different passwords possible is?
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Question 614065: In the Word Pencils, how many combos can you make if the "N" has to be the first letter and P and I have to be next to each other.

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Question 614397: how many different 6 member teams can be chosen from a group of ten students to participate the next month in the math competition, ifeach student hasan equal chance of being chosen
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Question 614921: There are 20 students in a class, 10 who are girls, and 10 who are boys. The teacher is choosing 4 of these students to be on a committee. What is the probability that there will be at least one girl and at least one boy? Use complementary counting.
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Question 614919: How many different teams can be organized consisting of 2 men, 2 women and 2 children? We have the following groups available for team assignments: 6 men, 5 women and 4 children.
Click here to see answer by ashipm01(26) About Me 

Question 614930:
Given P(A), find P(not A).
P(A)=98%

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Question 615071: a student is asked to answer 11 out of 15 questions of a exam. In how many
ways can she select the questions to be answered?

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Question 614699: in how many different ways can a president, treasurer, and secretary be appointed rom a committee of 5 people?
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Question 615304: A four digit number is to be formed from the digits 1, 3, 5 and 8. What is the probability that the number so formed will:
a) start with 5?
b) be an odd number? and
c) be greater than 5000?

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Question 615596: A 5 disc CD player randomly chooses the order in which to play the discs. How many ways can the CD player select the discs?
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Question 615594: If there are 16 girls and 10 boys in a class, how many ways are there to select a girl and then a boy?
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Question 615815: A class has 10 boys and 12 girls. Find the probabliltity of selecting a committee of four with at most two girls? I have the answer, which is 4620/ 7315. I got 7315 by doing 22C4. How do i get 4620?
Click here to see answer by scott8148(6628) About Me 

Question 615989: if i have 5 pants and 3 shirts how many combinations can i make
Click here to see answer by jim_thompson5910(35256) About Me 

Question 616200: In how many ways can 3 boys and 2 girls sit in a row?
In how many ways can they sit in a row if the boys and girls are each to sit together?
In how many ways can they sit in a row if just the girls are to sit together?

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Question 616317: From a group of 7 men and 5 women, a 4 person committee is chosen. what is the probability that all 4 are men or all 4 are women
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Question 616562: Each letter stands for a different dight. There are 25 possible solutions, how many can you find
Click here to see answer by Edwin McCravy(20054) About Me 

Question 616645: how many ways can the teacher select 5 multiple choice and 3 free responses questions from a question bank that contains 15 multiple choice and 6 free responses
Click here to see answer by stanbon(75887) About Me 

Question 616769: Determine whether the following are permutations or combinations?
1. Assigning students to their seats on the first day of school.
2. Selecting three students to represent the school at a Honor Society conference in Washington D.C.

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Question 617052: Warricks watch gains one minute every 4 hurs. He sets his Watch to the correct time at 8 am on Monday as he is going to work.
What is the real time when his watch shows 8pm on Wednesday?

Click here to see answer by lwsshak3(11628) About Me 

Question 617063: In how many ways can three students be seated in a row of three seats?
Click here to see answer by ewatrrr(24785) About Me 

Question 617092: 6 people are going to play a ball game. Each team has 3 players. How many different team combinations are possible?
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Question 617216: A reading list for your English classcontains 20 books. a)How many different sets of four books can you choose from the list to read over Spring Break?
b)In how many different orders can you read these four books?
Is answer a) 20P4 =116280 is answer b) 20C4=4845 ????

Click here to see answer by stanbon(75887) About Me 

Question 617218: Please help me solve this problem Thank you :
Find the number of ways of choosinga hand of seven cards from a standard deck of cards consisting of four cards from one suit and three cards from another suit.

My guess is 13C4*13C3 ????

Click here to see answer by Edwin McCravy(20054) About Me 

Question 617226: Find the number of ways of selecting the winner and first, second, and third runner up in a contest with 10 finalist.
is the answer 10c4=210
Please help Thank you

Click here to see answer by nerdybill(7384) About Me 

Question 617233: Please help solve Thanks
Each question on a five-question multiple choice quiz has answer choices labeled A,B,C,and D. How many different ways can a student answer the five questions?
Is the answer 5*4=20 or 5P4=120 or ????

Click here to see answer by sudhanshu_kmr(1152) About Me 

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