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

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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
Click here to see answer by stanbon(75887)

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(20054)

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(35256)

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?
Click here to see answer by jim_thompson5910(35256)

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
Click here to see answer by sEahors3(6)

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(13342)

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

Click here to see answer by Tatiana_Stebko(1539)

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(60)

Question 569544: Find the number of permutations that are possible in letter of the word. i. MATHEMATICS ii. STATISTICS iii. ABRACADABRA
Click here to see answer by stanbon(75887)

Question 569688: can you help me with
a + 4 < 10 what is a
Click here to see answer by JBarnum(2146)

Question 569909: in how many different ways can the symbols *, #, ^ , & , ! be arranged?
Click here to see answer by jim_thompson5910(35256)

Question 570040: how many ways can 5 paintings be line up on a wall
Click here to see answer by jim_thompson5910(35256)

Question 570070: in how many ways can 7 different card be laid out on a table in a row
Click here to see answer by stanbon(75887)

Question 570067: how many 5- digit numbers can be formed (using 0-9)?
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Question 570064: in how many ways can 6 bicycles be parked in a row

Click here to see answer by jim_thompson5910(35256)

Question 570068: how many 7card hands have exactly 3 spades, 3 clubs, and 1 heart can be dealt?
Click here to see answer by stanbon(75887)

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???
Click here to see answer by richard1234(7193)

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
Click here to see answer by Edwin McCravy(20054)

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.
Click here to see answer by JBarnum(2146)

Question 571191: HOW MANY WORDS OF THREE DISTINCT LETTERS CAN BE FORMED FROM THE ALPHABET(A,B,Y,Z)

Click here to see answer by stanbon(75887)

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?
Click here to see answer by stanbon(75887)

Question 571543: "what is the slope of a binomial
2x+3"
Click here to see answer by Alan3354(69443)

Question 572471: Let X be a three digit number whose digits are all distinct. There are nine two-digit numbers that can be formed using the digits of X. Assume that X is the sum of all nine of these two digit numbers. Find all possible values of X.
Click here to see answer by KMST(5328)

Question 572997: 1. A personal director for corporation has hired eleven new engineers. If three different positions are open at Palawan plan, in how many ways can he fill the position?
2. A man is in the process of buying a new car. he has choices of four engine makes, 5 body styles and 12 colors. how many choices of diiferent cars does he have?

Click here to see answer by stanbon(75887)

Question 573112: i need help on Counting. If a license plate has three letters followed by three numbers, how many license plates can you have if there are no repetitions in the number part and a one or zero cannot be used in the fist digit of the number part. it is ok if the letters repeat.
Click here to see answer by Alan3354(69443)

Question 179120: How many 6P6 and 5C5 are there?
How do you know?
thank you.
Click here to see answer by homer16(2)

Question 573734: How many ways can a person compose a 5-note melody using the chords C,D,E,F,G,A and B?
Click here to see answer by richard1234(7193)

Question 574356: How many of which coins should I give you if you want one dollar in 28 coins?
Click here to see answer by ankor@dixie-net.com(22740)

Question 574411: A telephone company wants to create as
many 7-digit phone numbers as possible
without changing the first 3 digits. How
many phone numbers can be created?
Click here to see answer by nyc_function(2741)

Question 574472: Please help me solving this problem.
A carton of 24 eggs contains one that is spoiled. In how many ways can people chose 3 of these eggs and gets one that is spoiled?
Thank you.
Click here to see answer by Edwin McCravy(20054)

Question 574750: Four coins are tossed. In how many ways can they fall?
Click here to see answer by Alan3354(69443)

Question 574730: how many different arrangements or words can be formed from each of the following words , a. joy b. too c. theorem d. probability

Click here to see answer by ad_alta(240)

Question 574720: How many different four-letter radio station call letters can be formed if the first letter must be W or K?
Click here to see answer by ad_alta(240)

Question 575115: from a group of 6 men and 8 women a committee of 3 is to be selected at random find the probability that all 3 are men or all 3 woman
Click here to see answer by chana(69)

Question 575186: Suppose that a pool of 20 movies consist of 5 dramas, 7 comedies, and 8 action movies. In how many ways can a collection of 7 movies be chosen if the collection must consist of 1 drama, 4 comedies, and 2 action movies.
Click here to see answer by chana(69)

Question 575512: You are taking a 10 question multiple choice test. Each question has four possible answers. How many ways can you answer the test?
Click here to see answer by solver91311(24713)

Question 575997: In how many ways can a coach select 5 players from a team of 10 players?
Click here to see answer by stanbon(75887)

Question 575988: In how many ways can 3 books be selected from a self of 25 books?
Click here to see answer by jim_thompson5910(35256)

Question 576198: Each question on a multiple choice test has five equally likely answers. If Nikka guesses randomly on four questions, what is the probability that she will answer at least one correctly?

Click here to see answer by stanbon(75887)

Question 576262: Justin can invite 2 of his 6 friends to go to the football game with him. How many combinations of 2 friends can Justin take to the game?
Click here to see answer by chana(69)

Question 576163: Seven students applied for a position on the four-member student review board. In how many ways could four students have been selected for the board? please show me the steps.

Click here to see answer by chana(69)

Question 576406: how many permutations are in the word human
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