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

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Question 1173528: There are 24 ways to arrange 6 teachers can be assigned to a 4 class sections if no teacher is assigned to more than 1 class section. TRUE OR FALSE
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Question 1173536: There are how many ways to select three numbers from 0 to 9.
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Question 1173547: Find the number of possible arrangement of the letters in the word PERSONAL if E should precede O.
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Question 1173545: If a password is consist of two letters by 3 digits , then how many different possible passwords will there be if repetition is allowed.
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Question 1173542: There are _____ways that a student can answer the exam with 7 correct answers and 8 incorrect answers.
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Question 1173542: There are _____ways that a student can answer the exam with 7 correct answers and 8 incorrect answers.
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Question 1173419: In a school, every grade 10 students needs to study 7 subjects out of 14. It is given that 4 of them are core subjects, and the rest are optional. How many arrangements of the subjects are availabe for the students?
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Question 1173548: A company needs to deliver packages 15 different locations. If a driver selects 5 locations for delivery, how many sequences are there for the delivery locations of the driver?
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Question 1173548: A company needs to deliver packages 15 different locations. If a driver selects 5 locations for delivery, how many sequences are there for the delivery locations of the driver?
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Question 1173543: In a school, if the school head wants to form a four-member safety committee for the upcoming JS prom from 10 maintenance workers and 3 guards, then there will be______ways that the committee can be formed if the members may be chosen in any way.
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Question 1173583: Leslie plan to have lunch at different restaurants from Monday to Friday. If he makes a choice each day from the 7 restaurants nearby, how manh combinations of the restaurants to be chosen are there?
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Question 1173584: Betty has 20 different books.
A. If 4 books are selected from these 20 books, how many combinations are there?
B. Among the 20 books, 12 are classic novels, 6 are science fictions, and 2 are reference books. If 7 classic novels, 2 science fictions, and 1 reference book are selected, how many combinations are there?

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Question 1173607: If a coin is tossed four times, then the probability of getting at least one tail is 1/16. True or False
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Question 1173604: ____is the number of combinations if r is equal to zero
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Question 1173608: If a die will be rolled, then the probability of getting 3 is 1/6. TRUE OR FALSE
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Question 1173605: ____is the number of combinations if the number of objects taken from n distinct objects is the same
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Question 1173614: how many outcomes are possible for a car with 2 models, 8 colors, and any combination of 4 options?

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Question 1173614: how many outcomes are possible for a car with 2 models, 8 colors, and any combination of 4 options?

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Question 1173614: how many outcomes are possible for a car with 2 models, 8 colors, and any combination of 4 options?

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Question 1173614: how many outcomes are possible for a car with 2 models, 8 colors, and any combination of 4 options?

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Question 1173585: Kate wants to choose 3 out 13 different items as the christmas presents. Given that 4 items are from shop B, and 3 items from shop C, find the number of combinations in each of the following cases.
A. Choosing 3 items from the same shop.
B. Choosing 3 items which are not from shop A
C. Choosing at least 1 item from shop A

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Question 1173585: Kate wants to choose 3 out 13 different items as the christmas presents. Given that 4 items are from shop B, and 3 items from shop C, find the number of combinations in each of the following cases.
A. Choosing 3 items from the same shop.
B. Choosing 3 items which are not from shop A
C. Choosing at least 1 item from shop A

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Question 1173626: A five item multiple choice quiz offers 4 options (A,B,C,D) for each item. How many ways can this quiz be answered such that at least 4 items are correct.
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Question 1173626: A five item multiple choice quiz offers 4 options (A,B,C,D) for each item. How many ways can this quiz be answered such that at least 4 items are correct.
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Question 1173627: A pizza shop offers 10 different toppings. How many ways may I select a pizza with no more than 3 toppings?
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Question 1173628: A five item true/false quiz is given. How many ways can this quiz be answered such that at least 4 items are correct.
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Question 1173628: A five item true/false quiz is given. How many ways can this quiz be answered such that at least 4 items are correct.
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Question 1173634: A. There are 5 colors pens in red, yellow, blue, green, and purple. How many patterns can be formed if the 3 boxes in figure 1 are filled with diffirent colors?
B. To choose 3 out of 5 boxes in figure 2, how many combinations are there?
C. Three color pens in red, yellow, and blue are given now. In filling 3 boxes in figure 2 with different color pens with these color pens, how many different patterns can be formed?

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Question 1173652: A die is rolled. Find the probability of getting a 4 if it is known that an even number occurs when the die was rolled.
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Question 1173648: In a town fiesta singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers?
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Question 1173648: In a town fiesta singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers?
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Question 1173645: How many different 4-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 8, and 9 if no repetition of digits is allowed.
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Question 1173645: How many different 4-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 8, and 9 if no repetition of digits is allowed.
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Question 1173647: Find the number of distinguishable permutations of the letters of the word PASS.
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Question 1173647: Find the number of distinguishable permutations of the letters of the word PASS.
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Question 1173646: A pizza shop offers 5 different meat toppings and 7 vegetable toppings. How many ways may I select a pizza with 2 meat and 2 vegetable toppings.
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Question 1173674: With a standard 52 card deck, how many 5 card hands contain at least 3 aces?
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Question 1173674: With a standard 52 card deck, how many 5 card hands contain at least 3 aces?
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Question 1173679: With a standard 52 card deck, how many 5 card hands contain exactly 4 red cards?
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Question 1173697: A. There are 5 colors pens in red, yellow, blue, green, and purple. How many patterns can be formed if the 3 boxes in are filled with diffirent colors?
B. To choose 3 out of 5 boxes, how many combinations are there?
C. Three color pens in red, yellow, and blue are given now. In filling 3 boxes with different color pens with these color pens, how many different patterns can be formed?''.

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Question 1173697: A. There are 5 colors pens in red, yellow, blue, green, and purple. How many patterns can be formed if the 3 boxes in are filled with diffirent colors?
B. To choose 3 out of 5 boxes, how many combinations are there?
C. Three color pens in red, yellow, and blue are given now. In filling 3 boxes with different color pens with these color pens, how many different patterns can be formed?''.

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Question 1173848: A company needs to deliver packages 15 different locations. If a driver selects 5 locations for
delivery, how many sequences are there for the delivery locations of the driver?

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Question 1173852: Betty has 20 different books.
If 4 books are selected from these 20 books, how many combinations are there?

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Question 1173847: In a group of balls numbered 37 to 61, how many combinations are there when 3 ball are
chosen?

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Question 1173846: Leslie plan to have lunch at different restaurants from Monday to Friday. If he makes a choice
each day from the 7 restaurants nearby, how many combinations of the restaurants to be
chosen are there?

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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