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

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Question 1132665: In how many ways can 7 charms be placed in a bracelet which has no clasp?
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Question 1132666: In how many ways can 7 charms be placed in a bracelet which has no clasp?
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Question 1132765: How many 3 digit no. Can be formed from the digit 3.4,5,7,8,9. How many of them are even?
Click here to see answer by Alan3354(69443) About Me 

Question 1132850: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contains 4 Jacks?

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Question 1132857: If P(A) = 0.7, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B).
P(A and B) =_____

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Question 1132852: A professor gives his students 8 essay questions to prepare for an exam. Only 5 of the questions will actually appear on the exam. How many different exams are possible?

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Question 1132853: In a shipment of 20 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 5 smartphones, of which 2 are defective?

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Question 1132897: The probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941. If an insurance company sells a one-year, $11,000 life insurance policy to such a person for $482, what is the company's expectation?
Click here to see answer by Theo(13342) About Me 

Question 1132893: Two dice are rolled. Determine the probability of the following.
Rolling an even number or a number greater than 9

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Question 1132894: Use the formula for the probability of the complement of an event.
Two dice are tossed. What is the probability of getting a sum of at least 3? (Enter your probability as a fraction.)

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Question 1132935: 46 members of a band need to travel to a concert. No more than twelve members can ride in a van at one time. What is the minimum number to take the members of the band to the concert
Click here to see answer by Theo(13342) About Me 

Question 1132896: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet.
Denomination Number of slots
$40 (Joker) 1
$40 (Casino logo) 1
$20 2
$10 4
$5 7
$2 15
$1 24
If a player bets $4 on the Casino logo denomination, find the player's expectation. (Round your answer to two decimal places.)

Click here to see answer by Boreal(15235) About Me 

Question 1132950: One of the wagers in the game of roulette is to place a bet that the ball will land on a red number. (Eighteen of the numbers are black, 18 are red, and two are green.) If the ball lands on a red number, the player wins the amount of his bet. If a player bets $8, find the player's expectation. (Round your answer to two decimal places.)
Click here to see answer by Boreal(15235) About Me 

Question 1133104: how many 4 digits can be formed from the digits 1,3,5,6,8 and 9 if no repetition is allowed
Click here to see answer by greenestamps(13198) About Me 

Question 1133276: There are 9 students in a class: 5 boys and 4 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

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Question 1133338: how many outfits consisting of a suit and tie can a man select if he has two suits and eight ties

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Question 1133552: One bag contains 5 blue balls and 4 green balls. A second bag contains 2 blue balls and 5 green balls. One ball is selected at random from the first bag and placed in the second bag. If a ball is drawn from the second bag, what is the probability that it is a green one?
Click here to see answer by Boreal(15235) About Me 

Question 1133606: How many different sequence of 10 signal flags can be constructed from 4 red flags and 6 blue flags?

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Question 1133806: A bucket contains 24 balls, numbered 1-24. Balls 1-10 are red; balls 11-18 are green; balls 19-
24 are white. How many groups of 10 balls can be chosen if 4 must be red, 5 must be green, and 1
must be white?

Click here to see answer by greenestamps(13198) About Me 

Question 1133836: How many odd numbers of at most three digits can be formed using the digits 0,1,2,3,4,5 without repetitions?
It says the answer is 63. I have no clue how to get this answer.. Could I get some help please?

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

Question 1133851: To how many patrons could a telephone company furnish numbers having five digits, the first digit not being zero?
Click here to see answer by MathLover1(20849) About Me 

Question 1133924: the coach has to select 2 co- captains from the 15 girls out for soccer. how many electrons are possible algebra answer
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Question 1133960: How many 4 digit combinations using number 1,1,2,3?
Thank you!

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Question 1133982: Scott has been given a list of 4 bands and asked to place a vote. His vote must have the names of his favorite and second favorite bands from the list. How many different votes are possible?

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Question 1133940: How many integers are there between 1 and 1 000 000 whose sum of digits add up to 25?
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Question 1133940: How many integers are there between 1 and 1 000 000 whose sum of digits add up to 25?
Click here to see answer by MathTherapy(10551) About Me 

Question 1134091: A catering service offers 6 appetizers, 11 main courses, and 7 deserts. A banquet committee is to select 3 appetizers, 5 main courses, and 4 desserts. How many ways can this be done?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1134126: Boris has 8 CDs that he is going to give away. He lets his best friend choose 2 of the 8 CDs. How many different groups of
2 CDs are possible?

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Question 1134436: 42.A team plays 15 games a season. How many ways are there to end up with 8 wins and 7 losses for the season?
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Question 1134470: (2x + 1C3) - (2x-1C3) - 2(xC2)
NOTE: C stands for combination

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Question 1134470: (2x + 1C3) - (2x-1C3) - 2(xC2)
NOTE: C stands for combination

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Question 1134492: (2x + 1)C3 - (2x-1)C3 - 2(xC2)
NOTE: C stands for combination'

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Question 1134889: If 8 teachers are to be divided among 4 schools, how many divisions are possibles?
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Question 1134889: If 8 teachers are to be divided among 4 schools, how many divisions are possibles?
Click here to see answer by greenestamps(13198) About Me 

Question 1134955: If 4 numbers from 1 to 1000 are chosen at random, one at a time, find the probability that they will be chosen in decreasing order.
My work: does 1/24 include the numbers like 9998,7776,2221?

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Question 1134955: If 4 numbers from 1 to 1000 are chosen at random, one at a time, find the probability that they will be chosen in decreasing order.
My work: does 1/24 include the numbers like 9998,7776,2221?

Click here to see answer by ikleyn(52777) About Me 

Question 1135127: Five prizes are to be given to five different people in a group of thirteen. In how many ways can a first prize, a second prize, a third prize and two fourth prizes be given?
I got as far as (13) (12) (11) (10X2) and got the question wrong

Click here to see answer by Boreal(15235) About Me 

Question 1135152: How many different five-letter strings can be formed from the letters A, B, C, D, E (repeats allowed) if the first letter must be a vowel and the last letter must be a consonant?

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Question 1135152: How many different five-letter strings can be formed from the letters A, B, C, D, E (repeats allowed) if the first letter must be a vowel and the last letter must be a consonant?

Click here to see answer by ikleyn(52777) About Me 
Question 1135152: How many different five-letter strings can be formed from the letters A, B, C, D, E (repeats allowed) if the first letter must be a vowel and the last letter must be a consonant?

Click here to see answer by greenestamps(13198) About Me 

Question 1132854: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contain exactly 3 queens?

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

Question 1135314: a candidate is required to answer six out of ten question which are divide into groups,each containing five question and he is not permitted to attempt more than 4 from any group.in how many ways can he make up his choice?

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Question 1135369: Triplet X,Y,Z are chosen from the set {1,2,3,.....24,25} such that X grater equal to Y and Y equal to Z.How many such triplets are possible?
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Question 1135367: if all permutations of the letters of the word AGAIN are arranged as in dictionary,then the 50th word is:
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Question 1135440: Numbers are formed using the digits 4,5,6,7 and 8 with no digit being used more than once. How many odd number are less than 700?
I got the answer as 15 but was told the answer is 25. This is my working
First digit is an even number which is either 4 or 6 and last digit is either 5 or 7
thus possible combination is 2*3(ie remaining numbers)*2(ie. possible combination of last digit) = 12
First digit is an odd number ie 5 and last digit is just 7 therefore
possible combination is 1*3*1 = 3
Therefore the answer is 12+3 = 15 possible ways. Is this correct? Thanks

Click here to see answer by greenestamps(13198) 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