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Question 1168186: Lotto Max is won by choosing 7 winning numbers from the number 1 to 49. In how many ways can a person match 4 winning numbers?
Click here to see answer by Edwin McCravy(20054)

Question 1168369: Hello,
My problem is detailed as below:
You have 9 different presents that each have to be given. They can either be given discreetly, (i.e. Give 1 of the 9 presents to someone), or some/all can be combined together and given (i.e. Give presents 1 and 2 to someone and 3-9 given discreetly all the way to giving all 9 presents combined to someone), but in each scenario, all 9 presents much be given.
How many total possible combinations are there? If you can help provide both the formula for arriving at the conclusion and the answer that would be much appreciated!
Click here to see answer by ikleyn(52776)

Question 1168473: In a class of 30 students 3 people are selected to be the line leader, the work collector, and the door holder. What is the probability of randomly selecting the correct students that have those jobs this week. (hint: does order matter? First find the combination or permutation [that is your denominator]. Your numerator is the # of correct options) WRITE YOUR ANSWER AS A FRACTION *

Click here to see answer by Theo(13342)

Question 1168493: QUESTION 15
The expression 8C3 is equivalent to

a. 8C5

b. 8P3

c. 8P5
d. 8!/3!

Click here to see answer by ikleyn(52776)

Question 1168540: In how many ways can a doubles game of tennis be arranged from ten boys and twelve girls if each side must have one boy and one girl?
Click here to see answer by ikleyn(52776)

Question 1168539: Six prizes are to be given to six different people in a group of ten. In how many ways can a first prize, a second prize, a third prize and three fourth prizes be given?
Click here to see answer by math_helper(2461)

Question 1168538: A boxed Trifecta ticket at a horse track allows you to pick the first three finishers without regard to order. How many different tickets are possible in a race with 11 horses?

Click here to see answer by ikleyn(52776)

Question 1168886: Heather is putting 11 colored light bulbs into a string of lights. There are 5 blue light bulbs, 3 green light bulbs, and 3 red light bulbs. How many distinct orders of light bulbs are there if two light bulbs of the same color are considered identical (not distinct)?
Click here to see answer by ikleyn(52776)

Question 1169237: Sales A manufacturer makes two models of an item: model I, which accounts for 80% of unit sales, and model II, which accounts for 20% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 10% of its model I and 18% of its model II. If a model is selected at random, find the probability that it will be defective
Click here to see answer by Theo(13342)

Question 1169253: Need to create a pin code that consists of 8 numbers. How many different pin codes can you create if:
a)There are no restrictions?
b)None of the numbers can repeat?
c)None of the digits can be odd?
d)The first digit cannot be a 2 and the last digit cannot be 5,9 or 0?
e)The first digit cannot be 6 and none of the digits can repeat?

Click here to see answer by Boreal(15235)

Question 1169264: On my bookshelf I have 5 books of poetry, 15 graphic novels, 8 biographies and 3 self-help books. I plan to take 7 books with me on my vacation.
a)In how many different ways can I take 7 books with me on my vacation?

b)In how many different ways can my 7 books consist of 2 books of poetry, 3 graphic novels and 2 self-help books?
c)In how many different ways can my 7 books consist of exactly 3 graphic novels?
d)In how many different ways can my 7 books consist of at least 6 biographies?
Click here to see answer by ikleyn(52776)

Question 1169269: We have 6 (different) jobs,how to disrtibute jobs,such that 2 women get two jobs, if 8 men and 5 women applied for jobs
Click here to see answer by ikleyn(52776)

Question 1169270: We have 6 (different) jobs,how to disrtibute jobs,such that 2 women get two jobs, if 8 men and 5 women applied for jobs
Click here to see answer by ikleyn(52776)

Question 1169057: From a 4 mathematicians and 3 statisticians, find the number of committees of size 3 that can
be formed
A. Without restriction;
B. If it should have 2 mathematicians and 1 statistician
Click here to see answer by Boreal(15235)

Question 1169393: A hand of 5 cards is dealt to each player from a deck of 52 cards.
What is the probability that you are dealt 2 jacks and 3 tens?
Click here to see answer by Alan3354(69443)

Question 1169343: 2) A club elects a president, vice -president, and secretary-treasurer. How many sets of officers are possible if
there are 15 members and any member can be elected to each position? No person can hold more than one
office.
Click here to see answer by The Troll Kid(22)

Question 1169156: Question1:From the following data compute (i) Mean (ii) Median (iii) Mode (iv) Histogram (v) Frequency
Polygon
C.I 36 -- 40 41 - 45 46 - 50 51 - 55 56 - 60 61 - 65 66 - 70 71 - 75
f 6 7 18 19 10 5 3 2
Question2: The marks obtained by 10 students in Statistics (x) and accounting (y) at the professional examination
are as follow
Statistics
(x)
55 48 60 36 58 70 65 50 18 40
accounting
(y)
70 45 65 45 60 66 44 40 30 55
(a) Construct the regression line
(b) Calculate the coefficient of correlation
(c) Construct the scatter diagram and linear line
(d) Estimate the accounting marks if the statistics marks is 82.
Question3:i. How many three-digit numbers can be formed from the digit 0, 1, 2, 3, 4, 5 and 6 if each
digit can be used only once?
ii. How many of these are Even numbers?
iii. How many greater than 420?
Question4:In a poker consists of 5 cards, find the probability of holding
(a) 2 Aces (b) 2 face cards (c) 1 red
Click here to see answer by Solver92311(821)

Question 1169539: Use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 to determine how many three digit numbers are possible when there are NO restrictions and numbers CAN be repeated.

Click here to see answer by ikleyn(52776)

Question 1169537: Use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 to determine how many three digit numbers are possible when there are NO restrictions but numbers CANNOT be repeated.

Click here to see answer by ikleyn(52776)

Question 1169540: (A)lex, (B)rian, (C)laire, and (D)ana, have 4 tickets to the play. Use the fundamental counting principal and the slot (blank) method to answer the question
In how many ways can they be arranged so that Alex and Brian are not sitting next to each other?
Click here to see answer by ikleyn(52776)

Question 1169538: Use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 to determine how many three digit numbers are possible when the number must be even and numbers CAN be repeated.

Click here to see answer by ikleyn(52776)

Question 1169686: In a class, there are 15 girls and 13 boys. Three students are chosen at random to form a School Council. What is the probability that there will be at least 1 boy on the School Council?
Click here to see answer by Boreal(15235)

Question 1169684: A bag contains 4 green and 6 red balls. A ball is chosen at random and then replaced. This is done 3 times. Draw a tree diagram to show all the possible outcomes. Can you label the branches with the respective probabilities?
Click here to see answer by Solver92311(821)

Question 1169687: When you roll a six-sided die 20 times and role a 2 only once, the experimental probability is 1/20. If you rolled the dice 100 more times, would you expect the experimental probability of rolling a 2 to increase or decrease and why?
And what would happen to the experimental probability of rolling a 2 in the long term?
Click here to see answer by Solver92311(821)

Question 1169715: Select 4 novels from a list of 11 to read for class. How many ways can you choose which books to read?
Click here to see answer by ikleyn(52776)

Question 1169484: According to a study done by students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual.
I need help with the following:
1) find the probability of an Asian male is over 71 inches tall
2) find the middle 40% of heights fall between what two values?
3) Write the probability statement.
P(x1 < X < x2) =???
Thank you!
Click here to see answer by Boreal(15235)

Question 1169829: If repetition is not allowed, how many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, & 5 if (i) the numbers formed are odd?
Click here to see answer by Solver92311(821)

Question 1169900: How many ways can a committee of 11 be formed from 15 people’
Click here to see answer by ikleyn(52776)

Question 1169954: You have enough tickets to play 6 different games at the amusement park. If there are 14 games. how many ways can you choose six?
Click here to see answer by ikleyn(52776)

Question 1169962: How many different ways can 9 trumpet players in the marching band line up?
Click here to see answer by Boreal(15235)

Question 1169982: You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 15 children present in your van. How many different groups of children can you drive?
How many different groups of 6 children can you drive?

Click here to see answer by math_tutor2020(3816)

Question 1170027: How many ways can you order the letters in SASKATOON if the first two letters must both be an A and the last letter must be a K?

Click here to see answer by greenestamps(13198)

Question 1170027: How many ways can you order the letters in SASKATOON if the first two letters must both be an A and the last letter must be a K?

Click here to see answer by math_helper(2461)

Question 1170027: How many ways can you order the letters in SASKATOON if the first two letters must both be an A and the last letter must be a K?

Click here to see answer by ikleyn(52776)

Question 1170029: A committee of eight people is to be chosen from 10 males and 11 females. How many ways are there to choose a committee that would consist of an equal number of males and females?
Click here to see answer by smaira(1)

Question 1170031: There are 90 players in a league. Each of the 90 players plays exactly one match
against each of the other 89 players. Each match ends with a win for one player and
a loss for the other player, or with a tie for both players. Each player earns 1 point
for a win, 0 points for a loss, and 0.5 points for a tie. After all matches have been
played, the points earned by each player are added up. What is the greatest possible
number of players whose total score can be at least 54 points?
Click here to see answer by ikleyn(52776)

Question 1170569: You are a graduate student who is about to enter the job market. You estimate that if you apply for a job there is a .70 chance that the company will want to hire you.This probability does not change no matter how many jobs you apply to. Please solve the following questions:
If I apply to 5 jobs, what is the probability that all of them will want to hire me (2)?
If I apply to 3 jobs , What is the probability that no jobs will want to hire me? (1)?
If I apply to 4 jobs , What is the probability that at least 1 job will want to hire me? (1)?
Now i want to be at least .95 percent certain that i will get at least 1 job. How many jobs will I have to apply to in order for this to be true (hint, this problem is better done through guessing and checking) (1)?
Click here to see answer by math_tutor2020(3816)

Question 1170909: Seven women and nine men are on the faculty in the Math department of a school. A committee is formed by selecting faculty members at random.How many are there to select a committee of five members if at most 2 men are in the committee? *
Click here to see answer by Boreal(15235)

Question 1171338: A bookshelf displays different types of books, 6 books in English (E) and 5 books in Spanish (S). If 4 books are chosen among the English language books and 3 are selected from the Spanish language books, calculate how many ways can the 7 books be arranged on a shelf given that
i) There are no restrictions (no concern on the sequence)?
ii) 4 English books must put together?
iii) English and Spanish books must put alternately (i.e. ESESESE).

Please help me with these questions. I am confused. Do I need to apply the combinations method first in order to select the books? or I can just directly solve this problem by using permutation?

Click here to see answer by Solver92311(821)

Question 1171151: How many solution does the equation in integers between and ?
Click here to see answer by greenestamps(13198)

Question 1171381: Each year, readers of a certain magazine are asked to rank the top three best-dressed men from among 12 candidates. The magazine then awards 1st, 2nd, and 3rd place accordingly. How many possibilities are there for the top 3?
Click here to see answer by Boreal(15235)

Question 1171383: Let and two parallel lines. We choose points on and on . Then all the market points on are joined with the market points on . How many points are obtained as an intersection (that are not in nor in ) of the traced segments?
I´ve solved the problem by doing all the lines and I got intersections, so, I´m looking for a solution with out making all of them.
Click here to see answer by ikleyn(52776)

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