Tutors Answer Your Questions about Permutations (FREE)
Question 1191476: You own 50 DVDs consisting of 25 comedies, 15 dramas, and 10 thrillers. You randomly pick 4 movies to watch during a long train ride. What is the probability that you pick at least one DVD of each type of movie?
*Please use the complement formula (P(Ā)=1-P(A))*
Click here to see answer by ikleyn(52776)   |
Question 1191516: A question paper consists of 3 sections A, B and C. Section A consists of 4 questions, sections B & C consist of 3 questions each. In how many different ways a student can select 3 questions from section A, 2 from section B and 1 from section C?
Click here to see answer by ikleyn(52776) |
Question 1191631: How many distinct permutations of 4 letters from EAGLES are there?
I first tried to do cases.
My first case was to leave out all the non-repeated letters so I ended up with 4•4!/(2!) = 48
My second case was to leave out all repeated letters and ended up with 1•4!/(1!) = 24
When I add them, it equals up to uw permutations but my answer key says 192 permutations. Please help me find where I went wrong with this question! Thanks!
Click here to see answer by ikleyn(52776) |
Question 1191632: If you flip a coin 10 times, what is the probability that the first one is heads, the 2nd tails, the 3rd heads, the 4th is tails, and so on (keeps alternating for all 10 coins)?
What I did was do 5/10•5/10•4/10•4/10... and so on until I got to ten coin flips. Doing this gave me a completely different answer from my answer key, please help me fix my mistakes! Thanks!
Click here to see answer by ikleyn(52776) |
Question 1191618: From a deck of 52 playing cards, 5 cards are to be drawn.
a) How many 5-card hands are possible
b) How many 5-card hands are there consisting of 2 aces and 3 jacks?
c) How many 5-card hands are there consisting of all black suits?
d) How many 5-card hands are there consisting of all diamond suits?
e) How many 5-card hands are there consisting of 3 face-cards, 1 king, and 1 spade?
Click here to see answer by math_tutor2020(3816) |
Question 1191639: Your sister has a book collection that consists of 20 horror novels, 15 romance novels, and 25 mystery novels. She randomly picks 3 books to read during a long trip. What is the probability that she picks one from each category?
Click here to see answer by ikleyn(52776) |
Question 1191646: 6. An Ontario license plate has 4 letters followed by 3 numbers. Assuming repetition is allowed, how many license plates
a) contain only vowels and even numbers? [1]
b) contain the same 4 letters and the same 3 digits?
Click here to see answer by ikleyn(52776) |
Question 1191771: In the game of Yahtzee, five dice are thrown. On such a roll, Pat gets a 4,4,4,3, and 5. The rules allow her two more chances to roll any subset of the 5 dice. Hoping for a Yahtzee, she saves the first three dice and rerolls the dice that had a 3 and 5. Her strategy is:
a) if her 2nd roll is 4 and 4, then she stops and has achieved a Yahtzee
b) if her 2nd roll has a 4 and something else, she will keep the 4 and roll the other die one more time trying to get a 4
c) if her 2nd roll has no 4's then she will reroll those two dice one more time, trying to get both dice to be a 4
What is the probability she will end up with a successful Yahtzee?
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Sorry for the long question, I have no idea where to start and it's overwhelming... Thank you to whoever finds the time to help me!
Click here to see answer by greenestamps(13198)  |
Question 1191897: A Student Community needs to select 4 vice presidents and 2 secretaries among 10 male students and 5 female students. How many ways you can create this committee with 3 male vice presidents 1 female vice president and secretaries from both genders? (1 male secretary and 1 female secretary)
Click here to see answer by math_tutor2020(3816) |
Question 1192000: a class of 25 students has 13 men and 12 women. A group of 4 students is being chosen to represent the class in a panel discussion. determine how many different groups could be chosen if there must be at least one man in the group
Click here to see answer by Boreal(15235)  |
Question 1192079: A math club has 30 members. During their acquaintance gathering, they have to choose 3 officers: president, vice - president, and secretary. If each office is to be held by 1 person and no person can hold more than one office, how many ways can these offices be filled?
Click here to see answer by math_tutor2020(3816) |
Question 1192079: A math club has 30 members. During their acquaintance gathering, they have to choose 3 officers: president, vice - president, and secretary. If each office is to be held by 1 person and no person can hold more than one office, how many ways can these offices be filled?
Click here to see answer by ikleyn(52776) |
Question 1192144: 2 students will be selected from a class of 30 students composed of 18 male and 12 female to participate in a math and science quiz bee. if 1 female student has been selected first, what is the probability that the next student that will be selected is another female student?
Click here to see answer by ikleyn(52776) |
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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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