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Question 306982: How many different 13 card hands include the ace and king of spades ?
I am assuming they are using a 52 card deck how am I to solve this problem? The number of cards was not given.
Click here to see answer by scott8148(6628)

Question 307255: I'm not sure if this goes under "Combinatorics", as I've never heard of that term before, but here goes..
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool together?
Click here to see answer by nerdybill(7384)

Question 307256: Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 mph and starts 3 hours after the first cyclist who is traveling at 6 mph. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
Not sure if this is Combinatorics, but help is appreciated :)
Click here to see answer by checkley77(12844)

Question 307529: f(x)= x^2-6 and g(x)= x+4, for what values of x does f(gx)= g(x)?
Click here to see answer by Theo(13342)

Question 307601: in how many ways can you choose 2 side dishes out of 10?
A.)180 B.)90 C.)45 D.)20
Click here to see answer by Alan3354(69443)

Question 307809: Ten different books are to be arranged on a shelf. Two of the books are by E. Smith, three of the books are by A. Houseman and the remaining books are all by different authors. How many ways can the books be arranged on the shelf if Smith's books and Houseman's books must be kept together?

So far what I have is (2!)(3!)(5!) Not sure if thats right or not. My answer was 1440.
Any help will be much appreciated. :)
Click here to see answer by scott8148(6628)

Question 307841: how many different committees of four can be selected for a program out of a group of twenty-five people?

Click here to see answer by vksarvepalli(154)

Question 307891: In a certain game, each token has one of three possible values: 1 point, 5 points, or 10 points. How many different combinations of these token values are worth a total of 17 points?
Click here to see answer by Fombitz(32388)

Question 308072: A basketball team has 5 players. Find the number of different basketball teams that can be formed from a group of 12 students?
Click here to see answer by rapaljer(4671)

Question 308150: How many committees can be formed of 6 people if there are 10 people to choose from?
Click here to see answer by texttutoring(324)

Question 308153: In how many ways can you answer the questions on an exam that consist of 7 true-false questions?
Click here to see answer by scott8148(6628)

Question 308226: six people are to be seated in a row of six chairs. how many different seating arrangement are possible?
Click here to see answer by edjones(8007)

Question 308249: The GT Dragger offer 5 different engines, 4 different paint jobs, and 2 different radios. How many different packages are possible?
Click here to see answer by Fombitz(32388)

Question 308423: Solve for the number of different ways a committee of 3men and 4women can be formed from a group that has 18men and 12women ?
Click here to see answer by edjones(8007)

Question 308611: In how many ways can a subcommittee of five people be selected from a committee of ten people?
Click here to see answer by vksarvepalli(154)

Question 308927: how many distinct arrangements can be made with the letter in the word TALLAHASSEE

[A] 286 [B] 1,663,200

[c] 831,600 [d] 834,040

Click here to see answer by stanbon(75887)

Question 308851: An ice cream shoppe carries five kinds of ice cream. They also have three kinds of toppings. One serving consists of three scoops of ice cream and three scoops of toppings.The ice cream is always scooped before the toppings are added. In how many distinct ways can the serving be assembled? Also if the customer wants three different flovors of ice cream how many choices does he have?
Click here to see answer by stanbon(75887)

Question 307812: Find the coefficient of b^5 in the expansion of (a-2b)^8
My answer = 1
Not sure if thats right. If you could show me the steps to solving this problem it would be much appreciated. Thank You. :)
Click here to see answer by stanbon(75887)

Question 309213: How many different 6-digit license plates can be made if the first digit must not be 0
Click here to see answer by richwmiller(17219)

Question 309212: How many different 6-digit license plates can be made if the first digit must not be 0 and no digits may be repeated?
So far I have tried the 'Fundamental Counting Principle', but I cannot seem to get the answer. I have tried 9!, but that answer makes no sense, I just do not know what to do! Please Help! Thank you.
Click here to see answer by solver91311(24713)

Question 309201: A committee of six is to be chosen from 9 females and 8 males. What is the probability that a six person committee will have at least 5 females?
Click here to see answer by solver91311(24713)

Question 309244: In how many different ways can the letters in the word PAYMENT be arranged if the letters are taken 4 at a time?
Click here to see answer by straight C+'s(8)

Question 309244: In how many different ways can the letters in the word PAYMENT be arranged if the letters are taken 4 at a time?
Click here to see answer by jim_thompson5910(35256)

Question 309397: FIND THE CHANCE OF THROWING MORE THAN 15 IN ONE THROW WITH 3 DICE.
Click here to see answer by Fombitz(32388)

Question 309574: Five blocks are painted red, blue, green, yellow, and white. In how many different ways can the blocks be arranged in a row if the red block is always first?
Click here to see answer by alicealc(293)

Question 309629: a popular model of car is being offered in 4 body styles, 3 types of engins, and 5 metal flake paint schemes. how many cars are needed to display all possible option variations?
Click here to see answer by checkley77(12844)

Question 309777: How many different five-member teams can be made from a group of eight students, if each student has an equal chance of being selected?
Click here to see answer by Edwin McCravy(20054)

Question 310519: How many 5 member teams can be formed from a group of 15 people?
Click here to see answer by stanbon(75887)

Question 310708: 10 teams, 4 hours to play, 2 courts, how many different combinations are there
Click here to see answer by nyc_function(2741)

Question 310871: find the amount borrowed on a 24 month loan at 5 3/4% if $368 in interest was paid
Click here to see answer by mollukutti(30)

Question 311011: How many ways can 15 girls be chosen to form a baseball team of 9 players?
Click here to see answer by Alan3354(69443)

Question 311289: how to find the number of two letter permutations of the letter M,A,P,L,E
Click here to see answer by nyc_function(2741)

Question 311253: How many different ways can the letters in the word STUDY be ordered?
Click here to see answer by fractalier(6550)

Question 311514: A permutation is selected at random from the letters SEQUOIA. what is the probability that it has Q in the fourth position and ends with a vowel?
Click here to see answer by Edwin McCravy(20054)

Question 312211: How many ways can 15 girls be chosen to form a baseball team of 9 players?
5005
24
1,816,214,400
135

Click here to see answer by fractalier(6550)

Question 312399: Solve for x: 42x+2=8x+4
Click here to see answer by Fombitz(32388)

Question 312560: solve 3/x^2+x-2 + 3/x-1 = 1/x+2
Click here to see answer by mananth(16946)

Question 313342: There are 4 boys and 3 girls. What is the probability the boys and girls sit alternately?
Ans 1/35
Click here to see answer by Theo(13342)

Question 314210: How many times can the word "DEFENSE" be arranged using permutation or combination? And which one do you use?
Click here to see answer by stanbon(75887)

Question 314210: How many times can the word "DEFENSE" be arranged using permutation or combination? And which one do you use?
Click here to see answer by Edwin McCravy(20054)

Question 315397: In how many ways can 2 pictures, selected from a group of 5 different pictures, be arranged in a row on a wall?
Click here to see answer by moshiz08(60)

Question 316510: Need help with a question:
Twelve students in a Business Statistics class are to be formed into three teams of four. How many different ways can this be done?
I tried doing 12!/3!(4!) but it doesn't seem right any help would be appreciated.

Click here to see answer by stanbon(75887)

Question 316547: an experiment consists of selecting 3 light bulbs. The selected bulbs are labeled D for defective or N for non-defective.
a)list the associated sample space
b)List the event, E, the first bulb selected is defective and the last bulb
selected is non-defective.
c)What is the probability of event E?
Click here to see answer by Fombitz(32388)

Question 316557: DUchess Blue Corporation wants to maximize its profit on products A and B. The profit on one unit of Produc A is $50, while the profit on one unit of Product B is $45. Each unit of Product A requires 3 hours of assembly time and 2 hours of finishing time, while each unit of Product B requires 4 hours of assembly time and 6 hours of finishing time. The departmental capacity (in total hours) is 2700 for assembly and 2400 for finishing. What is the maximum profit, and how many of each product should be produced in order to achieve that profit?
Click here to see answer by Fombitz(32388)

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