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

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Question 257465: . A single card is drawn at random from a deck of 52 cards. Jack, Queen, and King are considered the only picture cards. Find the probability that the card will be a picture card.
Click here to see answer by drk(1908) About Me 

Question 257469: Five cards are dealt at random from a regular deck of 52 playing cards. Find the probability that three are sevens.
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Question 257468: An urn contains 3 white balls and 5 red balls. Two balls are drawn at random. If the first is replaced before the second is drawn, what is the probability that the first ball is white and the second is red?
Click here to see answer by drk(1908) About Me 

Question 257467: Find the probability that the sum of the values of two dice in a throw of two fair dice is 8, given that the one die is 5.
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Question 257466: In the game Over and Under, a pair of dice is rolled and one can bet whether the sum of dots showing on the dice is over 7, under 7, or exactly 7. What are the odds in favor of you winning when you bet that over 7 wins?

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

Question 257559: in how many ways can a social committee of 4 students be selected?
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Question 257559: in how many ways can a social committee of 4 students be selected?
Click here to see answer by happygirl123(1) About Me 

Question 257936: Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that at least one card is a heart?
Click here to see answer by edjones(8007) About Me 

Question 258040: in how many ways can 3 cards from a deck of 52 by laid in a row face up?
Click here to see answer by drk(1908) About Me 

Question 258211: in how many ways can a team of five players be chosen from a group of fifteen students?
Click here to see answer by stanbon(75887) About Me 

Question 258580: 1. how many 6 digit numbers can you make using 1,2,5,6,7,9
2. how many of these 6 digit numbers are divisible by 6

Click here to see answer by drk(1908) About Me 

Question 258967: A president and vice president are to be randomly chosen from the members of a committee. If the committee consists of 5 women and 7 men, what is the probability that the vice president is a woman?
Click here to see answer by Greenfinch(383) About Me 

Question 259141: Please show me how to use combinations to solve: How many ways can a committee of 6 men and 8 women be selected from a group of 12 men and 20 women?
I know I need the formula N!/(n!(N-n)!) but I don't know how to combine men and women.

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

Question 259270: A quiz has 7 true/false questions. 8 multiple choice with 3 options each. How many possible ways are there to answer the 15 questions?
Click here to see answer by richwmiller(17219) About Me 

Question 259740: 4. Find the inverse: | 1 2 1 |
| 1 1 2 |
| 2 0 2 |

Click here to see answer by drk(1908) About Me 

Question 259651: How many ways can 4 people sit in 10 chairs, if no two people sit in adjacent chairs?
Click here to see answer by edjones(8007) About Me 

Question 259811: A $152,400 loan is taken out, at 11.5% for 25 years, for the purchase of a house. The loan requires monthly payments. Find the amount of each payment.
Click here to see answer by rfer(16322) About Me 

Question 259978: Find the present value of the following ordinary annuity.
Monthly payments of $274.14, 48 months, 12% compounded monthly.

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

Question 260081: Suppose a die is rolled 6 times. What is the probability of obtaining:
Exactly four 5's?

Click here to see answer by dabanfield(803) About Me 

Question 260012: Four books can be placed in four spots on a shelf. If each book can only occupy one spot at a time, how many different arrangements of books on the shelves are possible?
(A) 8 (B) 12 (C) 16 (D) 20 (E) 24

Click here to see answer by edjones(8007) About Me 
Question 260012: Four books can be placed in four spots on a shelf. If each book can only occupy one spot at a time, how many different arrangements of books on the shelves are possible?
(A) 8 (B) 12 (C) 16 (D) 20 (E) 24

Click here to see answer by checkley77(12844) About Me 

Question 259864: If I have a rose, a carnation, a tulip, and a daisy; how many different ways are possible if I have a blue vase, a green vase, and a white vase?
Since a rose - carnation in a blue is the same as a carnation - rose in a blue, would this be 4!3!?
Thanks!

Click here to see answer by rfadrogane(214) About Me 

Question 260652: A.) HOW MANY WAYS ARE THERE TO PICK TWO CARDS (W/O REPLACEMENT) SO THAT AT LEAST ONE OF THEM IS AN ACE?
I TRIED, 52!/(52-4)!4!

Click here to see answer by Theo(13342) About Me 

Question 260745: A man claims to be able to distinguish between scotch & bourbon 80% of the time. A test of 15 samples is given to him and, if he is correct at least 12 times, he proves his claim. What is the probability his claim is justified, but he does not pass?
Click here to see answer by richwmiller(17219) About Me 
Question 260745: A man claims to be able to distinguish between scotch & bourbon 80% of the time. A test of 15 samples is given to him and, if he is correct at least 12 times, he proves his claim. What is the probability his claim is justified, but he does not pass?
Click here to see answer by drk(1908) About Me 

Question 261157: How many ways are there to assign each of five proffessor in a math department to two courses in the fall semester(i.e.,10 different math courses in all) and then assign each proffessor two courses in the spring semester such that no proffessor teaches the same two courses both semesters?
Click here to see answer by rohil(1) About Me 

Question 261244: How many combinations on a pizza can you create?

Click here to see answer by Alan3354(69443) About Me 
Question 261244: How many combinations on a pizza can you create?

Click here to see answer by richwmiller(17219) About Me 

Question 261290: In a library, 4 different english books, 2 different chemistry books and 3 different mathematics books are arranged on a shelf. Determine the number of different arrangements for the 9 books if the books on each subject must be kept together
Click here to see answer by stanbon(75887) About Me 

Question 261634: A basketball team has 12 players. There are 5 di fferent positions on
a basketball team. A starting lineup consists of 5 players, each assigned
to one of the 5 positions. How many di fferent ways can a coach select a
starting lineup?

Click here to see answer by edjones(8007) About Me 

Question 261868: how many different 5 card hands can be drawn from a standard deck of 52 cards
Click here to see answer by drk(1908) About Me 
Question 261868: how many different 5 card hands can be drawn from a standard deck of 52 cards
Click here to see answer by solver91311(24713) About Me 

Question 261522: Ten women and their husbands are to be seated on two sides of a long rectangular table, ten on each side. How many possible seating arrangements are there if
a) all the women sit on the same side?
b) womena and men alternate along the able and every women sits opposite a man?
c) everyone sits opposite of their spouse?

Click here to see answer by jspindle(1) About Me 

Question 262721: When a 17 gram(g) rubber stopper is placed in a beaker containing 25.46 mL of water, the water level rises to 38.00 mL. What is the density of the stopper in grams per mL?
Click here to see answer by Alan3354(69443) About Me 

Question 263002: convert


a) 8.00 X 1023 mL to liters
b) 5.00 x 10-3 mg to grams
c) 6.30 x 108 mL to gallons

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

Question 263022: On a quiz, there are 4 choices for each of 5 multiple choice questions. How many different ways can the quiz be answered?
Click here to see answer by richwmiller(17219) About Me 

Question 263406: How many six-letter permutations can be formed from the first nine letters of the alphabet?
Click here to see answer by drk(1908) About Me 

Question 263649: A used car dealer estimates that 65% of the company's sales will occur on Thursday, Friday or Saturday. Using this estimate, how many cars out of the 80 sold last month were sold on Thursday, Friday or Saturday?
Click here to see answer by rfer(16322) About Me 

Question 263652: The number of building permits issued in a city this year was 72000. This represents 125% of last year's number of permits. How many building permits were issued last year?
Click here to see answer by rfer(16322) About Me 

Question 264271: how many different ways can a president, cie president, and secretary be chosen from a class of 15 students
Click here to see answer by checkley77(12844) About Me 

Question 264379: A pin code is a sequence of three numbers, each of which is between 1 and 9. If none of the numbers in the sequence can repeat, how many combinations for the code are possible?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 265756: suppose you draw a card from a well shuffled pack of playing cards what is the probability the card you draw will be an ace
Click here to see answer by Edwin McCravy(20054) About Me 

Question 265935: Enclosing the Most Area with a Fence. A farmer with 4000 meters of fencing wants to enclose a rectangular plot that borders a river, what is the largest area tha can be enclosed? (see figure)
river
x{ plot }x
__________
4000-2x

Click here to see answer by checkley77(12844) About Me 

Question 266134: If five card hands are dealt at random from an ordinary deck of 52 playing cards. The instructor asked a) how many hands are possible. I figured that as being 2,598,960 hands possible using combination formula. b) how many hands are possible that contain only red cards? c) how many hands are possible that contain only spades? I'm pretty sure I can figure out c by knowing how to compute b. Can you help?
Click here to see answer by josmiceli(19441) About Me 

Question 266419: Kurt, yoel, Jason, Elana and Sara are studying together for a Finite Test. They decide to get a snack. Each is allowed to take one snack item. In how many different ways can the snacks be distributed if there are 6 apples, 5 oranges, 4 pieces of cherry, and 3 blueberry muffins?
Click here to see answer by checkley77(12844) 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