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Question 440198: a certain mathematics test consist of 10 questions. in how many ways can the test be answered if the possible answers are "true" and "false""

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Question 440145: In how many ways can a group of 7 students be selected from 8 students
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Question 440208: there are 3 boys and three girls at a party. in how many ways can they be seated in a row if they must sit alternating boys and girls?
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Question 440214: a jar contain 4 red and 6 white balls. 3 balls are drawn at random. in how many ways can at least one red ball be drawn?
please show the work.. i really need to understand the process of it
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Question 440254: An ice cream shop has a choice of nine toppings. Suppose you can afford at most four toppings. How many different types of ice cream sundaes can you order?
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Question 440263: To win a state lottery, a player must correctly select six different numbers from 1 to 60. How many tickets would a person have to buy to have a 1% chance of winning?
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Question 440287: A medical research team selects three patients at random from a group of nine patients for special treatment. In how many different ways can the patients be selected?
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Question 440324: Okay here is another one, how many ways can 18 baseball cards be passed out to 2 students show work
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Question 440858: how many arrangements of 5 students in 5 seats

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Question 440868: In how many different ways can a president, vice president and secretary be elected from a class of 20 students?
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Question 441367: Place numbers 1 through 12 randomly around a circle. Show it is impossible for all sets of three consecutive numbers to sum to 19 or 20.
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Question 441486: A singing class has 8 students how many ways can the teacher choose two students to sing a duet
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Question 441523: 1.A singing class has 8 students. How many ways can the teacher choose one student to sing, another to hold the music, and a third to play the piano?

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Question 441524: Amy's cat had a litter of 5 male kittens and 3 female kittens. How many ways can Amy choose 2 male kittens and give one to each of her two sisters?
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Question 441551: Amy's cat had a litter of 5 male kittens and 3 male kittens. How many ways can Amy choose 3 male kittens and line them up for a picture?

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Question 441687: hoe many line segments are determined by the n vertices of an n-gon? of these, how many are diagnols?
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Question 442400: True or False? The number of permutations of two items from a data set is always two times the number of combinations when taking two objects at a time from the same data set. Explain.
I know that it is false, I'm just not sure how to explain it.

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Question 442500: how many ways can the letter in the word capitol be arrange if the first letter must be p.
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Question 442514: a game spinner has regions that are numbered 1 through 8. If the spinner is used twice, what is the probablility that the first number is a 3 and the second is an even number?
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Question 442721: How do I know the differences between P(A OR B) and P(A and B)??????
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Question 442722: in how many ways 7 boys sit in a round table so that 2 particulars boys may sit together?
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Question 443068: Binomial probability:
Jessie is a fantastic goalie who stops three out of every four penalty shots taken on her. In a particularly tough game, she faced five penalty shots. What is the probability she lets only one of the five shots score?
If R=1 N=5, would probability of success be: P=3/4 and probability of failure be: Q=1/4 because I'm not sure 100%?

(I'm just having a hard time figuring out if I am writing my fractions correctly for: P=Probability of success and Q=Probability of failure. Therefore, I don't know if my equation should be set up as: 5C1(3/4)^1(1/4)^4 and if my answer than should be 1.46%. Please let me know if this is correct or not. Thank you and I really appreciate it too.)
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Question 443104: There are 3 boys for every 2 girls in a class of 25. How many girls are there?
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Question 443316: how many computer password are possible, using digits: 0-9, a-z(lower case), A-Z (upper case) and !, @, #, $, %, &, *, +. Each character could be used more than one , but the last character have to be from !, @, #, $, %, &, *, +.
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Question 443419: (n+1)! / 3!(n-2)!
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Question 443699: The letters of the word STAR are written on individual cards. If you always choose three cards and then put them back before the next set of three cards, how many different permutations will you have?
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Question 443816: Suppose we want to form three-digit numbers using the set of digits {0,1,2,3,4,5}. How many of these numbers are multiples of 5?
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Question 443968: How many groups of seven can be made out the numbers 1 thru 15?
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Question 444082: A class of 30 students (12 male and 18 female) are put into groups of 3. How many combinations can be formed if the requirement is that no group can be entirely all male or female?
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Question 444128: how many ways can a group of 7 (out of the 12 members) be chosen to work on a special project
Suppose that out of the 12 members on the team 7 are IT majors and 5 math majors.
How many groups of 7 people can be formed that contain 4 IT majors and 3 math majors?
How many groups of seven can be formed that contain a least 1 IT major
Suppose that two team members (of the 12 of either major) refuse to work together. How many groups of seven can be chosen to work on a project?
Suppose that two team members insist on either working together or not at all on projects. (That is, either the two people both work on the project together or neither will work on the project.) How many groups of seven can be chosen to work on a project?
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Question 444148: you have a team with 12 members and 7 are women and 5 are men. how many groups of 7 can be formed with at least 1 woman?
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Question 444697: Seven people line up for a photo. How many different line ups are possible if 2 people refuse to sit together?
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Question 444745: A committee of 3 is selected from jillian, miles, mark, and nikia. How many committees contain 2 boys and 1 girl?
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Question 444758: A social security number consists of nine digits. How many different social security numbers are possible if repetition of numbers is permitted? How do I know what formula I should be using?
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Question 444693: The University of Smallville requires its students to pass an examination in college-level mathematics before they can graduate. The students are given three chances to pass the exam; 61 % pass it on their first attempt; 66 % of those that take it a second time pass it then; and 42 % of those that take it a third time pass it then.
a. What percent of the students pass the exam? %
b. What percent of the students are not allowed to graduate because of their performance on the exam? %
c. What percent of the students take the exam at least twice? %
d. What percent of the students take the test three times? %
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Question 444761: given a class with 8 boys and 6 girls if you pick 3 students at random what is the probability of picking a group of 3 boys? And Picking a group of 2 girls and 1 boy.
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Question 445059: how many distinct 10-letter alphabetic strings are there?

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Question 445119: In how many ways can a six-person commitee be chosen from a class of 28 students?
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Question 445117: Could you please explain, 'How many combinations of three letters each can be made out of the following:'
ROYBGIV
ROYBGIV
ROYBGIV
Kind regards,
Rod Horton.
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Question 445498: Show all work. Mary purchased a package of 9 different plants, but she only needed 6 plants for planting. In how many ways can she select the 6 plants from the package to be planted?
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Question 445985: one dog out of 12 digs entered in a show will get first place and one will get second place. IN how many different ways can the first and second place dogs be chosen?
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Question 446249: a restaruant offers 12 vegetables on their menu. How many different veggie plates can you get if each plate has 5 different veggies on it?
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Question 446253: suppose a businessman has to rank (in order) different locations to start a new business. If he has a total of 12 locations to choose from, how many ways can he rank 4 of those locations?
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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