Tutors Answer Your Questions about Permutations (FREE)
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) |
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) |
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)  |
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)  |
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)  |
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)  |
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) |
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) |
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) |
Question 261634: A basketball team has 12 players. There are 5 different positions on
a basketball team. A starting lineup consists of 5 players, each assigned
to one of the 5 positions. How many different ways can a coach select a
starting lineup?
Click here to see answer by edjones(8007)  |
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) |
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) |
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) |
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)  |
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) |
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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, 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
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