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

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Question 571391: A board of directors consisting of 8 males and 4 females must select a 4 member panel, from amung its members, for hiring a CEO. What is the probability that the hiring panel will be all females?
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Question 570859: minimum number of individual shoes to be picked up from a dark room(containing 10 pair of shoes). if we have to get at least one proper pair
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Question 570859: minimum number of individual shoes to be picked up from a dark room(containing 10 pair of shoes). if we have to get at least one proper pair
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Question 571191: HOW MANY WORDS OF THREE DISTINCT LETTERS CAN BE FORMED FROM THE ALPHABET(A,B,Y,Z)

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Question 570972: If a jpeg image is 50mb and you are to store 80 copies of it along side with words in a zip,how many words can that zip contain.
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Question 570100: Given the menu below how many different burgers can you make. Meat: single meat, double meat, and triple meat. Cheese: there are 3 different kinds (you can use a max of 3 cheeses). Toppings: there are 13 different kinds of toppings.
Note: a combination is counted by what is on the burger NOT the order of placement.....Wouldn't you solve this by multiplying 3*3*13???

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Question 570068: how many 7card hands have exactly 3 spades, 3 clubs, and 1 heart can be dealt?
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Question 570064: in how many ways can 6 bicycles be parked in a row

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Question 570067: how many 5- digit numbers can be formed (using 0-9)?
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Question 570070: in how many ways can 7 different card be laid out on a table in a row
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Question 570040: how many ways can 5 paintings be line up on a wall
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Question 569909: in how many different ways can the symbols *, #, ^ , & , ! be arranged?
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Question 569688: can you help me with
a + 4 < 10 what is a

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Question 569544: Find the number of permutations that are possible in letter of the word. i. MATHEMATICS ii. STATISTICS iii. ABRACADABRA
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Question 569378: if there is 3 meats and3 dishes at dinner. how many dfferent combinations of meat and side dishes can be made?
Click here to see answer by IWork4Dessert(57) About Me 

Question 569184: From the digits 1, 8, and 9, how many two-digit numbers can be formed without repeats?

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Question 568919: A man claimed not to be the father of a certain child. On the basis of evidence presented, the court felt that this man was twice as likely to be the father as not. The blood type of the child is solely determined by the father, if it did not match the blood type of the child, than he could not be the father. The blood type of the child only occurred in only 10% of the population. The blood test indicated that the man had the same blood type as the child, what is the probability that the man is the father?
Thank You!

Click here to see answer by Theo(2967) About Me 

Question 192269: Q: There are 12 points in a plane of which 5 are collinear. The number of triangles is?
I think we have to combine C(5,2) (out of 5 collinear, 2 points can form a side of triangle) with the combination of the rest of the points... but i m not getting any answer out of the four options
a)200
b)211
c)210
d)none of these

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Question 568524: a student must answer 3 of the 4 essay questions on a social studies test. how much different selections of questions can be made?
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Question 568476: Given that P(A) = 0.5, P(B) = 0.6, and P(A and B) = 0.10, determine P(A|B)
Choices are 0.30, 0.17, 0.11, 0.20

Click here to see answer by jim_thompson5910(21667) About Me 

Question 568465: A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting

· an odd prime number under 10 given the card is a club. (1 is not prime.)
· a Jack, given that the card is not a heart.
· a King given the card is not a face card. ?

Click here to see answer by Edwin McCravy(6931) About Me 

Question 568478: If P(A or B) = 0.3, P(A) = 0.7 and P(B) = 0.5, determine
P(A and B).
( 0.90
0.45
0.27
0.15

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Question 568356: how many bridge hands are possible containing 4 spades,6 diamonds,1 club, and 2 hearts?
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Question 567752: how many ways can you arrange numbers 1-56, using 6 numbers?

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Question 567840: Oops. I posted this with the wrong email address. Can someone please help.
Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. A standard deck of cards has 52 face cards and four Aces (Aces are not face cards).
A. rolling a sum of 7 on two fair six sided dice
B. drawing a spade out of a standard 52 card deck
C. drawing a queen out of a standard 52 card deck given it’s a face card.
D. drawing a red card out of a standard 52 card deck
E. rolling a 4, 5 or 6 on one fair six sided die

Click here to see answer by Theo(2967) About Me 

Question 567607: In a medical Study patients are classified in 8 ways according to whether they have blood type AB+, AB-, A+, A-, B+, B-, O+, O-, and also according to whether their blood pressure is low, normal, or high. Find the number of ways in which a patient can be classified.

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Question 567608: If an experiment consists of throwing a die and then drawing a letter at random from the English alphabet, how many points are in the sample space?
-a. How many distinct permutations can be made from the letters of the word columns?
b. How many of these permutations start with the letter “m”?

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Question 567482: An identification code is to consist of three letters followed by six digits. How many different codes are possible if repetition is permitted?
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Question 567481: Hello Tutors. Can I get some help with this homework problem please.
Given that P(A) = 0.6 and P(B) = 0.3, and P(A and B) = 0.18, determine P(B|A

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Question 566759: If I have three prefixes, 584,585, and 586, how do I calculate the number of telephone numbers that can be made?
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Question 566618: Suppose that the format for license plates in a certain state is 2 letters followed by 4 numbers.
- How many different plates are there if the letters can be repeated but no two numbers can be the same?
- How many different plates can be made if repetitions of numbers and letters are allowed except that no plate can have four zeros?
Thanks!

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Question 566299: my question is .. find the coefficient ... x to the 6 power in the expansion of (x^2 -3)^10
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Question 565835: how do you find the surface area of a cylinder?
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Question 565729: Use counting principle to determine answer to part (a). Assume that each event is equally likely to occur. A couple plans to have children. (a) determine the number of points in the sample space of the possible arrangements of boys and girls.
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Question 565727: There are 25 questions on a test with four multiple choice answers each. How many total permutations and combinations of attempts would cover all the possible answers?
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Question 565624: how many 4-digit sequences can be formed using the digits 0,1,2,3,4,5,6?
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Question 565068: How many combinations can you make with 15 apples and 27 banana's?
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Question 564954: The functions f and g are defined by these sets of input and
output values.
g = {(1, 2), (– 2, 4), (5, 5), (6, – 2)}
f = {(2, 1), (4, – 2), (5, 5), (– 2, 6)}
a. Find g( f (2)).
b. Find f (g(6)).
c. Select any number from the domain of either g or f, and find f (g(x)) or g( f (x)), respectively. Describe what is happening.

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Question 564772: There are 5 blouses, 3 pants, 1 necktie, and 4 pairs of shoes. How many combinations are there?
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Question 564771: How many 6-digit numbers are there in 4,6,2,3,7 and 9 if repetition is not allowed?
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Question 564642: Using the letters A B C D E, (letters may not occur more than once) how many three-letter sequences are possible?
How many four-letter and how many five-letter sequences?

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Question 563857: How many diffrent passcodes afe there in a four digit code with number 0 to 9
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Question 563661: if i have to pick two numbers from 1 to 10, provided the first number can't be greater than the second number. How many possible way I can represent the two number. Please suggest the formula to use?
E.g.
12 - valid
21 - not valid

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Question 563408: Show that (1,2), (4,6) and (10,14) are collinear By using the distance formula.
And slope!

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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