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Question 916674: how many two digit odd numbers can be made using the digits 0,1,2,3,4,5,7,8 if each digit can be used at most once in a number

Click here to see answer by kmadison(20)

Question 917138: How many different arrangements can be made for 6 students seated in a row
Click here to see answer by stanbon(75887)

Question 916754: In a 10-item exam, of which only 6 items are to be solved, how many ways can a student answer the exam?
Click here to see answer by Hawksfan(61)

Question 917652: 1. The Knick play the Bulls in a seven game series that end when one team has won four games. We record the outcome of a game with a W for a Knick win and an L for a Knick loss.
How many series would have to be played to be sure that the same outcome happens twice?
I know there are a total of 840 possible outcomes from a permutation of (7,4), so would it just be 840 divided by 2?
Click here to see answer by jim_thompson5910(35256)

Question 917724: Find the sum of all four digit numbers that can be formed using the digits 0,1,2,3,4, each digit appearing at most once
Click here to see answer by KMST(5328)

Question 917771: How many four digit number that exceed 3000 can be formed by using the digits 0,1,2,3,4,5 without repitition?
Click here to see answer by Edwin McCravy(20054)

Question 917936: The Red Sox play the Yankees in a seven game series that ends when one team has won four games.
We record the outcome of a game with a W for a Red Sox win and an L for a Red Sox loss, e.g.
WWWW, WLWLWLW, or WWLLLWW.
i. How many possible outcomes are there?
ii. How many series would have to be played to be sure that the same outcome happens twice?
iii. If the Red Sox win in four games with a total of 17 runs, how many ways could their runs be
distributed among the four games? (Sample run distributions: (2, 7, 5, 3) (12, 1, 1, 3))

Click here to see answer by richard1234(7193)

Question 917965: Determine how many 5-card poker hands there are with:
a) A full house of kings over 7's (3 kings and 2 7's)
b) 3 of a king if the fourth and fifth cards must be different.
Click here to see answer by Edwin McCravy(20054)

Question 918128: chelsea wants to buy 5 different blouses but can only afford 2 of them. In how many different ways can she make her selection?

Click here to see answer by ewatrrr(24785)

Question 918550: A
class contains 8 male and 6 female students.
a) Find the number of ways the class can elect a representative
b) Find the number of ways the class can elect 2 representatives, one male and one female
c) Find the number of ways the class can elect a presiden
t and a vice
-
president
d) The class elects two representatives. Find the probability that one of them is male and the other
female.
Click here to see answer by ewatrrr(24785)

Question 918557: Three students are selected, one after anoth
er, from a class of 10 boys and 5 girls.
a) Find the probability that the first two are boys and the third is a girl
b)
Find the probability that
all three are of the same sex
c)
Find the probability that
only the first and third are of the same sex
Click here to see answer by stanbon(75887)

Question 918490: if repetation is not permited then the six digit us 1,2,3,4,5,7
then how many ways are less than 4000?
Click here to see answer by KMST(5328)

Question 918658: a security code for a building consists of six digits. determine the number of security codes possible if the first digit cannot be zero and repetition is permitted?

Click here to see answer by Alan3354(69443)

Question 918732: The no of a straight line by joining 16points on a plane ,no.twice of them being on the same
Click here to see answer by stanbon(75887)

Question 918660: Given n!= n(n-1)(n-2)...(1) where n is a natural number greater than one. Find the smallest n so n! ends in at least 50 zeros. Answer: 205
Click here to see answer by Edwin McCravy(20054)

Question 918599: Find how many different odd 4-digit numbers less than 4000 can be made from the digits 1,2,3,4,5,6 and 7 if no digit may be repeated.
Click here to see answer by Edwin McCravy(20054)

Question 918911: a 5 letter computer password is randomly assigned to you. all lowercase and can't be repeated how many passwords are possible.

Click here to see answer by stanbon(75887)

Question 918991: Having a lot of trouble with understanding Probabilities, Combinations, and Permutations. Please help. When I looked up a problem similar to this one I saw something like ! by the numbers (5! + 4! = 126) which was pretty confusing.
Exact Question: How many different 5-person basketball teams can a coach choose from among 7 players?
I thought all you had to do was multiply 5 x 7 which gives you 35, but I'm doubting the answer.
Thank you so so very much for reading this question and if you do proceed to answer please answer which ALOT detail. Sorry if I sound demanding, I can't stress how much probability, combination, and premutation confuses me. >.<
Click here to see answer by Hawksfan(61)

Question 918989: in how many ways can we choose a signal of four flags from a collection of 10 distinct flags ( where the order is important)?
Click here to see answer by Hawksfan(61)

Question 918927: 7 football teams with 3 different results
Click here to see answer by Alan3354(69443)

Question 919004: Evaluate the given expression:
C(n,n-2)
Click here to see answer by Edwin McCravy(20054)

Question 918735: Determine how many 5-card poker hands there are with:
a) A full house of kings over 7's (3 kings and 2 7's)
b) 3 of a kind if the fourth and fifth cards must be different
Click here to see answer by Edwin McCravy(20054)

Question 918808: You are dealt a 5-card poker hand from a deck of 52 playing cards. Determine how many ways you could be dealt:
a) A straight flush (5 consecutive cards of the same suit; ace is high and only high - it cannot be used as a one)
b) A pair (2 cards that are the same, such as 2 kings), and 3 cards that are different
Click here to see answer by Edwin McCravy(20054)

Question 919669: how many committee of five with a given chairman can be selected from twelve persons
Click here to see answer by Edwin McCravy(20054)

Question 919672: Seven cards, each marked a letter can be arranged to spell NUMBERS. how many three letter code words can be formed with 2 consonants and one vowel?
Click here to see answer by stanbon(75887)

Question 919678: IF a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the
Click here to see answer by ewatrrr(24785)

Question 919838: In a classroom of 9 boys and 14 girls, seven students are chosen to present their seven homework problems. What is the probability that the first three children chosen are boys?
Click here to see answer by ewatrrr(24785)

Question 920184: eight swimmers are competing in a race. how many ways can the swimmers fill the top three spots for the fastest times answers?
Click here to see answer by ewatrrr(24785)

Question 920257: Aaron has 8 pants, 12 shirts, and 6 pairs of shoes. How many possible outfit combinations are there?
Click here to see answer by Alan3354(69443)

Question 920288: If nC12 = nC8, find out what n is.
Click here to see answer by richard1234(7193)

Question 920288: If nC12 = nC8, find out what n is.
Click here to see answer by Edwin McCravy(20054)

Question 920297: Show that:
n(2nCn) = (n+1)[2nC(n+1)]
Click here to see answer by richard1234(7193)

Question 920291: Show that r(nCr) = n[(n-1)C(r-1)]
Click here to see answer by Edwin McCravy(20054)

Question 919688: (a)From a stack of 3 dice, one is taken and rolled twice.
If, unknown to the gambler, two of the dice are weighted and each have a 1/7 chance of rolling a 6, what is the probability that the gambler rolls two 6's?
(b)If the gambler has rolled two sixes, what is the probability that he has rolled the weighted die?

Need help solving this. Thanks in advance.
Click here to see answer by Edwin McCravy(20054)

Question 920363: In how many ways can you select three books to read from a shelf of ten books?
Click here to see answer by jim_thompson5910(35256)

Question 920296: Show that:
2[(2n-1)C(n-1)] = 2nCn
Click here to see answer by jim_thompson5910(35256)

Question 920351: Tom is leading a workshop for 26 people. He wants each person to meet every other person (shake hands once). How many handshakes occur?
Click here to see answer by srinivas.g(540)

Question 920401: standard set meal at a restaurant consists of 2 different starters, main dish and 1 dessert. you can choose from 10 starters, 5 main dish and 8 desserts. how many different meals can you have?
Click here to see answer by Edwin McCravy(20054)

Question 920295: Solve this:
12(nC2) = n!
Click here to see answer by Edwin McCravy(20054)

Question 921693: In how many ways can a family of 6 members be seated in a row if the parents will sit together ?
Click here to see answer by ewatrrr(24785)

Question 922062: A shirt and a tie together cost $50. The shirt costs $24 more than the tie. What is the cost of the shirt?
Click here to see answer by ewatrrr(24785)

Question 922121: Solve this:
(2n+1C2) = (nC2)^2
Click here to see answer by stanbon(75887)

Question 922183: in how many ways can a group of 5 boys be chosen from a class of twenty boys if the class captain has to be included
Click here to see answer by Hawksfan(61)

Question 922191: For some set, there are 720 possible permutations of the members of of that set taken 3 at a time. How many combinations of these three items are possible from the set?
Click here to see answer by richard1234(7193)

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