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Question 863647: A delicatessen offers 4 different breads, 4 cheeses, and 6 different meats. In how many ways can a
sandwich be made with 1 bread,1 cheese and 2 meats?

Click here to see answer by ewatrrr(24785)

Question 863759: There are nine balls in a basket. Three of these balls are blue, three are red, and three are green. A boy randomly picks three balls from the basket.
How many possible combinations of balls are there?
(I did this question and got the right answer just by brute force counting, but I want to know if there is a way to do this question using proper math. The possible combinations are (B- Blue, R- Red, G- Green):
B-B-B
B-B-R
B-R-R
R-R-R
R-R-G
R-G-G
G-G-G
G-G-B
G-B-B
B-R-G
For a total of ten possible combinations.)
Click here to see answer by Fombitz(32388)

Question 864267: The month of April contains 5 letters.
How many ways can the letters in APRIL be arranged?
We select the letters at random. What is the probability that we correctly spell April?
Click here to see answer by ewatrrr(24785)

Question 864289: How many ways can 7 students and 7 teachers be seated if a student is seated first and they must be seated alternately?
Click here to see answer by richwmiller(17219)

Question 864521: A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows:
25 said they drove alone.
34 rode in a carpool.
33 rode public transportation.
5 used both carpools and public transportation.
5 used both a carpool and sometimes their own cars.
3 used buses as well as their own cars.
2 used all three methods.
How many used none of the above-mentioned means of transportation?
Click here to see answer by ewatrrr(24785)

Question 864167: Let a≠0.
Solve |x| > 3.
Click here to see answer by Fombitz(32388)

Question 864620: Five friends are standing side by side to get their pictures taken. In how many different orders can they stand?
Click here to see answer by jim_thompson5910(35256)

Question 864622: how many different ways are there for the group to record a CD consisting of 12 songs chosen from 25 new songs? use permutations or combinations (the order of the songs is relevant )
Click here to see answer by jim_thompson5910(35256)

Question 864875: Problem 3.10. How many ways are there to seat 8 people, consisting of 4 couples, in a row of seats (8 seats wide) if all couples are to get adjacent seat?
Click here to see answer by jim_thompson5910(35256)

Question 864873: If each of the 10 digits is chosen at random, how many ways can you choose
the following numbers?
(a) A two-digit code number, repeated digits permitted.
(b) A three-digit identiﬁcation card number, for which the ﬁrst digit cannot
be a 0.
(c) A four-digit bicycle lock number, where no digit can be used twice.
(d) A ﬁve-digit zip code number, with the ﬁrst digit not zero
Click here to see answer by stanbon(75887)

Question 864954: a library has 5 copies of one book, 4 copies of each two books , 2copies of three books and single copy eight books , In how many qays can all the books be arranged
Click here to see answer by ewatrrr(24785)

Question 864950: A library has 5 copies of one book, 4 copies of each two books , 2copies of three books and single copy eight books , In how many qays can all the books be arranged ?
Click here to see answer by ewatrrr(24785)

Question 864993: Assume that a password to log onto a computer account is to consist of any 4 digits or letters (repetition is permitted). Determine the number of passwords possible if
a) The letters are not case sensitive (that is, a lowercase letter is treated the same as an upper case letter)
b) The letters are case sensitive (that is, an uppercase letter is considered different than the lowercase letter)

Click here to see answer by richwmiller(17219)

Question 865012: there are 8 people in a tennis club. Which expression can be used to find the number of different ways they can place 1st second and third
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Question 865037: From a basket of 10 pears and 7 peaches, a shopper must select 4 pears and 3 peaches. In how many ways can this be done?
Click here to see answer by jim_thompson5910(35256)

Question 864986: A president, treasures, and secretary, all different, are to be chosen from a club consisting of 10 people. How many different choices of officers are possible if
B) A and B will not serve together?
C) C and D will serve together or not at all?
D) E must be an officer?
E) F will serve only if he is president?
Thank you in advance!
Click here to see answer by richwmiller(17219)

Question 865062: How many three-digit numbers can be formed using the numerals {2, 3, 4, 5, 6, 7} without repetition?

Click here to see answer by jim_thompson5910(35256)

Question 865062: How many three-digit numbers can be formed using the numerals {2, 3, 4, 5, 6, 7} without repetition?

Click here to see answer by richwmiller(17219)

Question 865065: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?

Click here to see answer by jim_thompson5910(35256)

Question 865068: Tom is leading a workshop for 16 people. He wants each person to meet every other person (shake hands once). How many handshakes occur?
Click here to see answer by richwmiller(17219)

Question 865069: Consider selecting four elements, a, b, c, and d, from the set
A = {a, b, c, d, e}.
List all possible subsets of A consisting of these four elements. (Remember to use set-builder notation.

Click here to see answer by jim_thompson5910(35256)

Question 865025: there are 7 people on committee a and 8 people on committee b .if three people serve on both the committees ,how many people serve on only one of the committee
Click here to see answer by richwmiller(17219)

Question 865339: What is the number of yes/no vote combinations with 9 voters?
Click here to see answer by jim_thompson5910(35256)

Question 865492: In how many ways can 3 cards from a deck of 52 cards be laid in a row face up?
Click here to see answer by ewatrrr(24785)

Question 865771: From 7 swimmers how many ways can we choose the 1st, 2nd, and 3rd place winners for the 200 free?
Click here to see answer by jim_thompson5910(35256)

Question 865792: A file system uses four locator digits, two subject digits, and four category digits. If the locator code cannot begin with 0, how many file numbers are possible.
How many different license plates can be made by using three letters followed by four nonzero digits? The letters and digits can repeat.
How many different license plates can be made by using three nonzero digits followed by four letters? The letters and digits can repeat.

Click here to see answer by edjones(8007)

Question 865774: In how many ways can a committee of six people be chosen from 4 men and 7 women if at least 4 women must be on the committee and Carlo (one of the seven women) must be on the committee
Click here to see answer by edjones(8007)

Question 865650: In how many ways can a committee of 3 be chosen from 9 students
Click here to see answer by richwmiller(17219)

Question 866369: a test consists of 12 questions. if 10 questions must be answered, find the number of different orders in which a student can answer the questions
Click here to see answer by ewatrrr(24785)

Question 866429: There are 8 swimmers competing in a race. Prizes are awarded for the swimmers who finish in first, second, and third place. How many different ways can the swimmers finish first, second, and third?
Click here to see answer by ewatrrr(24785)

Question 866431: There are 7 movies that Christine wants to see over the break. She only has time to see 4 of the movies. How many different groups of 4 movies are possible if the order in which they are seen is not important?
Click here to see answer by ewatrrr(24785)

Question 866435: A deli offers 3 different kinds of bread and 8 different kinds of toppings on its submarine sandwiches. How many different sandwiches are possible?
Click here to see answer by ewatrrr(24785)

Question 866438: In a restaurant, you can order any three appetizers from a list of seven. Which represents the number of different choices you have, 7P3 or 7C3
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Question 866436: In a restaurant, you can order any three appetizers from a list of seven. Which represents the number of different choices you have, Test Image or Test Image
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Question 865859: Give an example of a group of size four, acting on a set of size four. And describe its orbits and stabilizers.

Click here to see answer by richard1234(7193)

Question 866453: At the tennis camp the ratio to boys to girls was 6 to 5.if there were 121 people altogether

Click here to see answer by checkley79(3341)

Question 866779: From a class of 24 students, how many ways can a group of 13 students be chosen?

Click here to see answer by ewatrrr(24785)

Question 866778: How many ways can the top 6 teams be arranged in a league containing 23 teams?
Click here to see answer by ewatrrr(24785)

Question 866526: Hi Everyone'
I am not sure if I am explaining my question correctly but let me give a try:
I have a 5 digit number (eg 32411) but each digit can be either be a 1 or 2 or 3 or 4.
Can someone tell me how many ways i can arrange this 5 digit number and what are they?
Thank you.
TJ
Click here to see answer by Fombitz(32388)

Question 866878: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?

Click here to see answer by Fombitz(32388)

Question 866909: For a 5 digit number how many combinations are there if one number must repeat?
Also what about if two numbers must repeat?
Click here to see answer by Fombitz(32388)

Question 866964: How many different positive five-digit integers can be formed if the second digit must be 3, the fourth digit cannot be either 1 or 2, and digits may be repeated?
Click here to see answer by richwmiller(17219)

Question 866984: Televsion and radio stations use four call letters that begin with W or K, such as WXYZ OR KFRP. Assuming no repetitions in the second to fourth letters, how many four-letter sets are possible using either W or K and only the letters L to V for the remaining 3 letters?
Click here to see answer by Alan3354(69443)

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