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Question 1027766: expand (1+3x)^-1/2
Click here to see answer by solver91311(24713)

Question 1027894: Please help me and show work. I have tried to do this problems over and over but my professor is just telling me it's wrong and not telling me my mistakes. Thanks

A word problem whose solution is 12!/(9!3!)

Click here to see answer by Alan3354(69443)

Question 1027697: The access code for a cars security system consists of four digits. The first digit cannot be zero and the last digit must be odd. How many different codes are available?
Thanks much.
Click here to see answer by Fombitz(32388)

Question 1027700: An area code consists of three digits. How many area codes are possible if:
a) There are no restrictions?
b) The first digit cannot be a 1 or a 0?
Thank you.
Click here to see answer by Fombitz(32388)

Question 1028405: in how many different ways can 5 persons be seated on a bench?
Click here to see answer by addingup(3677)

Question 1028412: in how many ways can the offices of chairman, vice-chairman, secretary and treasurer be filled from a committee of seven?
Click here to see answer by Alan3354(69443)

Question 1028574: how many 3 digit number can be formed with the digits 1,2,...,9 if no digit is repeated in any number?
Click here to see answer by Fombitz(32388)

Question 1028581: How many 3-digit odd numbers can be formed with the digits 1,2,...,9 if no digit is repeated in any number?
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Question 1028811: There is a meeting of 31 people. How many ways can one choose a team of two people from those attending the meeting?
Click here to see answer by ikleyn(52776)

Question 1028811: There is a meeting of 31 people. How many ways can one choose a team of two people from those attending the meeting?
Click here to see answer by kev82(151)

Question 1028839: if there is 8 empty seats on a bus and 5 people get on how many possible ways can they be seated?
Click here to see answer by mathmate(429)

Question 1028916: how many 3 digit numbers >300 can be formed with the digits 1,2,3,4,5,6 if no digit is repeated in any number?
Click here to see answer by solver91311(24713)

Question 1028979: How many even 4-digit numbers can be formed from the digits 1, 3, 6, 8, and 9 with no repetitions allowed? (Hint: Try filling the units place first.)

Click here to see answer by Alan3354(69443)

Question 1028957: A class has 27 students. In how many different ways can six students form a group for an activity?
Click here to see answer by ikleyn(52776)

Question 1029360: Calculators cost $24 each and markers cost $6 each. How many combinations of calculators and markers can be purchased for between $72 and $120, inclusive?
Click here to see answer by mathmate(429)

Question 1029486: an advertising artist has eight photographs from which to choose in designing a full page magazine ad containing 3 photographs. the position on the page is immaterial. how many designs using different combinations of photographs are possible. show working please.
Click here to see answer by mathmate(429)

Question 1029615: How many ways can the letters in the word AGATHIST be rearranged?
Any help will be appreciated!
Click here to see answer by stanbon(75887)

Question 1029627: How many different ways can the first 9 letters of the alphabet be arranged?
Click here to see answer by richard1234(7193)

Question 1029555: Cakes cost $8 each and pies cost $6 each. How many combinations
of cakes and pies can you purchase for between $72 and $120,
inclusive?
Click here to see answer by Edwin McCravy(20054)

Question 1029763: A firm has 5 different positions to fill and 15 applicants from which to choose. All applicants are equally qualified for all 5 positions. In how many ways can the firm fill the positions? show working please.
Click here to see answer by ikleyn(52776)

Question 1029840: How many ways can the letters in the word AGATHIST be rearranged?
Any help will be appreciated!
Click here to see answer by mathmate(429)

Question 1029930: A sales person has 7 products that he wishes to display at a national convention. He can display only 4. The order in which he displays the products is immaterial. How many displays does he have to choose from?
Click here to see answer by fractalier(6550)

Question 1029932: An airline has 6 flights that it wishes to advertise in one-page ads in a sunday newspaper. It wants to feature a different flight each sunday for six sundays. A) how many different sequences of ads can the airline run? B) suppose that the airline decides at the last minute to run only 4 ads. how many sequences of ads can it run? show working please.
Click here to see answer by robertb(5830)

Question 1030095: If a car dealer has 5 model line-up and each model has 7 colors to choose from, how many ways can customer choose his car?
How many 3 digit numbers can we make using the digits 2, 3, 4, 5, and 6 without repetitions?
Concerning a car license plate in the Philippines (3 letters, 3 numbers). How many plates can be formed if the first letter comes from the word statistics, second letter is different from the first, the last letter is consonant, and the digits are all lower than 5?
A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased?
Anne owns 6 pairs of jeans, 12 clean t-shirts and 4 pairs of shoes. How many outfits can she create?
Click here to see answer by stanbon(75887)

Question 1030108: We Are Given That nPr=3024 and nCr=126.What Will be the Value Of "r"?
Click here to see answer by stanbon(75887)

Question 1030226: please help Me These Questions
1.what will be the value of "r",if P(7,r)=60*P(7,r-3)
2.what will be the value of "n",if 3*P(2n+4,3)=2*P(n+4,4)
3.Find "n" if 3*P(n,4)=2*P(n-1,5)

Click here to see answer by rothauserc(4718)

Question 1030467: Consider the following counting problems. Allison is trying to decide which three of her eight new books to take on vacation with her? how many different ways can she choose the three books?

Click here to see answer by Boreal(15235)

Question 1030635: Your suitcase has 4-digit code lock. You forgot the code, but you do
remember that the sum of first two digits was equal to the sum of
two second digits. How many combinations do you need to check in
the worst possible scenario?

Click here to see answer by Edwin McCravy(20054)

Question 1030694: How many ways can 5 children line up to get on the school bus if Jenny always gets on third?
Click here to see answer by Edwin McCravy(20054)

Question 1027702: From a pool of 25 candidates, the offices of president, vice-president, secretary, and treasurer must be filled. In how many ways can the offices be filled?
Click here to see answer by Edwin McCravy(20054)

Question 1031086:
Click here to see answer by Alan3354(69443)

Question 1031196: 3 -letter words'' are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions?
(a) No condition is imposed.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter A.

(d) The letter C must be at the end.

(e) The second letter must be a vowel.

Click here to see answer by ikleyn(52776)

Question 1031198: A five-card hand is chosen from a standard deck.
(a) How many different hands have exactly two hearts?

(b) What is the probability of getting one of the hands in (a) if a five-card hand is dealt at random?
Click here to see answer by Boreal(15235)

Question 1031197: There are 19 nominees for 6 vacancies on a city commission, 8 Republicans and 11 Democrats.
(a) How many ways can the vacancies be filled by 2 Republicans and 4 Democrats?

(b) If nominees to fill the vacancies are chosen at random, what is the probability of choosing 2 Republicans and 4 Democrats?
Click here to see answer by Edwin McCravy(20054)

Question 1031267: How many 3-digit numbers can be formed if the first and second number must be 1 through 9 and the third number can be 0 through 9?
Click here to see answer by ikleyn(52776)

Question 1031304: How many 4 digit numbers can be formed out of the digits (3,4,5,6,7)which are greater than 5000 and no digit is repeated.the options are
a)72(correct)
b)27
c)70
d)none of these
I tried to solve it in the following way
if it is a 4 digit number greater than 5000 then the first number can be 5,6 or 7 so we have three choices
the second digit can be any of the above numbers(3,4,5,6,7)so we have 5 choices as no digit can be repeated we are left with 4 and 3 choices for the 3rd and 4th digit respectively
we can summarize it with the help of the fundamental principle of counting as
3*5*4*3=180
but this is wrong,
the correct answer is 72
please reply as soon as possible
thank you
yours sincerely
sukhdeep

Click here to see answer by ikleyn(52776)

Question 1031298: Nine people are going on a skiing trip in 3 cars
that hold 2, 4, and 5 passengers, respectively. In how
many ways is it possible to transport the 9 people to
the ski lodge, using all cars?
Click here to see answer by Alan3354(69443)

Question 1031373: A 4-person grievance committee is to be selected out of 2
departments, A and B, with 18 and 20 people. In how many
ways can the following committees be selected.
A) 3 from A and 1 from B
B) 2 from A and 2 from B
C) All from A
D) 4 people regardless of department
E) at least 3 from department A.
Click here to see answer by Edwin McCravy(20054)

Question 1031493: The total number of ways in which six + and four - signs can be arranged in a line such that no two - signs occur together is
a)7!/3!
b)6!*7!/3!
c)35(correct)
d)none of these
Click here to see answer by richard1234(7193)

Question 1031487: Mr.x and Mr.y enter into a railway compartment having six vacant seats.The number of ways in which they can occupy the seats is
a)25
b)31
c)32
d)30(correct)
i tried it this way
Mr.x and Mr.y can be arranged among themselves in 2! ways.This can happen 6 times as there are six seats.
it means
no. of ways=2!*2!*2!*2!*2!*2!=32
but the correct answer is 30
Click here to see answer by ikleyn(52776)

Question 1031489: An electronics store received a shipment of 20 calculators, including 7 defective. 4 of the calculators are selected to be sent to a high school.
A)How many selections can be made using the original shipment?
B) How many selections will contain defective calculators?
C) How many will contain 1 defective calculator?
D) How may of these will contain 3 defective calculators?
Click here to see answer by stanbon(75887)

Question 1031497: the number of numbers lying between 10 and 1000 can be formed with the digits 2,3,4,0,8,9 is
a)124
b)120
c)125(correct)
d)none of these
Click here to see answer by Edwin McCravy(20054)

Question 1031844: A set of 101 hypothetical CWU students were surveyed about whether they lived on or off campus and how much ice cream they ate per week. The results are shown below:
Ice Cream On-campus Off-campus
At most two scoops 23 27
Three to five scoops 21 16
More than five scoops 5 9
(a) What is the probability that a randomly chosen student lives on campus?

(b) If a person eats at most two scoops of ice cream per week, what is the probability that they live on campus?

(c) If a person lives on campus, what is the probability that they eat at most two scoops of ice cream per week?

(d) Are the events "lives on campus" and "eats at most two scoops of ice cream per week" independent? Your answer should be "Y" or "N".

Click here to see answer by stanbon(75887)

Question 1031843: The following table lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men.

Has Lung DiseaseNo Lung Disease Smoker0.110.19 Nonsmoker0.030.67

One 60-to-65 year old man is selected at random. What is the probability of the following events?
A. He is a smoker:
B. He does not have lung disease:
C. He has lung disease given that he is a smoker:
D. He has lung disease given that he does not smoke

Click here to see answer by stanbon(75887)

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