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Question 1135366: a person wishes to throw as many different parties as he can out of his 20 friends such that each party consists of the same number of persons.the number of friends invit at a time is:

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Question 1135364: a person has 12 friend of whom 8 are relative.in how many ways can he invit 7 friends such that at least 5 of them may be relatives?
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Question 1135363: out of 7 men and 4 ladies a committee of 5 is to be formed.In how many ways can this be done so as to include at least 3 ladies?
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Question 1135367: if all permutations of the letters of the word AGAIN are arranged as in dictionary,then the 50th word is:
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Question 1135458: There are 10 girls and 15 boys in a class. If a committee of 5 is selected at random from the class, find the probability that the committee has:
a) Exactly 3 girls;
b) At least one boy;
c) More boys than girls.
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Question 1135508: how MANY WAY THAT THE 5 DIFFERENT TREE PLANTED IN CIRCLE

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Question 1135526: A company’s board of directors wants to form a committee of 2 members. 8 members to choose from. How many different committees of 2 members could be formed?
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Question 1135585: There are 4 students attending a test and 7 teachers available for checking the tests.
Each student's test is checked by exactly one of these teachers, with each teacher being equally likely to be the one who checks the test.
The probability that all the 4 papers are checked by exactly 3 teachers is equal to k(6/7)^2.
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Question 1135648: six indistinguishable red balls and four indistinguishable green balls are arranged in a line. how many distinguishable arrangements of these balls are possible ?
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Question 1135588: There are 4 students attending a test and 7 teachers available for checking the tests. Each student's test is checked by exactly one of these teachers, with each teacher being equally likely to be the one who checks the test. The probability that all the 4 papers are checked by exactly 3 teachers is k(6/7)^2.
What is the value of k?
(Sorry for leaving out the last part)
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Question 1135739: Triplet X,Y and Z are chosen from the set {1,2,3,.......24,25} such that X less equal to Y and Y less to Z.How many such triplet are possible?
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Question 1135742: Let A be the set of four-digit numbers A1,A2,A3,A4 where A1>A2>A3>A4,Then how many of A are possible?
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Question 1135742: Let A be the set of four-digit numbers A1,A2,A3,A4 where A1>A2>A3>A4,Then how many of A are possible?
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Question 1135741: A committee is to be formed comprising of 7 member such that there is a majority of men and at least 1 woman in every committee.The shortlist consists of 9 men and 6 women.In how many ways can this be done?

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Question 1135583: Suppose a shipment of 140 electronic components contains 3 defective components. To determine whether the shipment should be accepted, a quality-control engineer randomly selects 3 of the components and tests them. If 1 or more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected? can you help me solve this with statcrunch
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Question 1135810: The total number of natural number of six digit thats can be made with digits 1,2,3,and 4 if all digits have to appear in the same number at least once is.
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Question 1135860: A man has 7 relative.Four of them are ladies and 3 gentleman;his wife also has 7 relatives.Three of them are ladies and 4 gentlemen.IN how many ways can they invite 3 ladies and 3 gentlmen for a dinner party so that there are 3 of the mans relatives and 3 of the wifes relatives?
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Question 1135864: Four couples are seated on a bench. Find the number of ways a particular couple must:
a. Sit together
b. Not sit together
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Question 1135865: Show that n! /r!(n-r)! + n!/(r-1)! (n-r+1)! = (n+1)! /r!(n-r+1)!
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Question 1132895: One of the wagers in the game of roulette is to place a bet that the ball will land on a black number. (Eighteen of the numbers are black, 18 are red, and two are green.) If the ball lands on a black number, the player wins the amount of his bet. If a player bets $4, find the player's expectation. (Round your answer to two decimal places.)
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Question 1136045: A five letter word is formed with the letters a, e, u, r, s, t. How many of them are palindromes?
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Question 1136088: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros
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Question 1136109: how many ways can a row of three contestants for a TV game show be selected from an audience of 342 people
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Question 1136143: In how many ways can four couples be seated in a row of eight seats at a theater if each couple is seated together?

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Question 1136197: The eight-person board of directors of the Acme Corporation is to elect a president, a vice-president, and a treasurer, and the remaining members will be a committee to study future expansion. In how many ways can these officers be elected?
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Question 1136227: A train going from cambridge to London stops at 9 intermediate station.Six person enter the train during the journey with 6 different tickets of the same class.How many different sets of tickets would they hsve?
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Question 1136226: The number of positive integral solution of abc=30 is
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Question 1136226: The number of positive integral solution of abc=30 is
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Question 1136228: There is a regular decagon.Triangle are formed by joining the vertices of the polygon.What is the number of triangle that have no side common with any of the sides of the polygon?
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Question 1136293: A bag contains n white and n red balls.pairs of balls are drawn without replacement until the bag is empty.If the number of ways in which each pair consists of one red and one white ball is 14,400,then what is the value of n?
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Question 1136357: If a lottery game was based on choosing 6 numbers from the integers 1 - 48, what is the probability of choosing the numbers for the winning jackpot?
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Question 1136460: The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of
new hires every year. This year, 65 new hires took the test and scored a mean of 112.8 points with a standard deviation of 15.6. Last year,
90 new hires took the test and scored a mean of 117.2 points with a standard deviation of. Assume that the population standard deviations of 17.2 the test scores of all new hires in the current year
and the test scores of all new hires last year can be estimated by the sample standard deviations, as the
samples used were quite large. Construct a 95% confidence interval for u1-u2, the difference between the mean test
score u1 of new hires from the current year and the mean test score u2 of new hires from last year. Then
complete the table below.
Carry your intermediate computations to at least three decimal places.
Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)
What is the lower limit of the 95% confidence interval?
What is the upper limit of the 95% confidence interval?

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Question 1136511: If there are 30 students in the class and we need to select a President and Treasurer for our meetings, how many possibilities are there?
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Question 1136523: A bag contains 5 apples and 3 oranges. if you select 4 pieces of fruit without looking, how many ways can you get 4 oranges?

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Question 1136525: Bob is planning to pack 6 shirts and 4 pairs of pants for a trip. If he has 10 shirts and 10 pairs of pants to choose from, in how many different ways can this be done?

side note:
(thank you! this is for an important math class, this is literally saving! thank you again)
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Question 1136524:
How many 5-card poker hands consisting of 3 aces and 2 kings are possible with an ordinary 52- card deck?
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Question 1136585: On this page:
https://www.algebra.com/algebra/homework/Permutations/change-this-name6021.lesson
Why has this been wrong for ten years? The correct answer is 606.
< excerpt from page follows ...
EXAMPLE:
Q. How many different 4 letter "words" can you make from the word DAFFODIL?
A: The number of permutations is P(8,4) since permutations do not distinguish between DAFF and DAFF, for example: If I had written DAFfOdIL instead, you can now see the differences as DAFf and DAfF.
The question is one of permutations and not combinations, since in this example, we are definitely interested in DAFF, ADFF, FFAD, FADF etc being different "words" rather than duplicate versions of the same "combination" of 4 letters.
So, the total number of permutations is 1680. However, 1680 is not the correct answer, since we have 2 D's and 2 F's.
The correct answer is 1680/(2.2) --> 420.

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Question 1136624: 3. Your community has asked you to help the Young Men's Christian Association (YMCA) sports director organize a season of sports. You need to put together the teams. For the soccer teams, athletes signed up with three different age groups. How many different ways can you organize teams of 10 for each age group
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Question 1136662: 51^P2 how do you evaluate the given expression and express the result using the usual format for writing numbers
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Question 1136688: Given that: 8( n+1Cn-1 ) = 5( nC1 )^2. Find the value of n
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Question 1136725: Given that; 4( n-1Cn-3 ) = 3( n+1Cn-2 ) find the value of n
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Question 1136801: There are nine female board members and twenty-one male board members.
How many ways are there to make a committee of twelve board members if exactly two must be female?
Determine the probability of selecting a committee of twelve board members where exactly two of the members were female. Write your answer as a decimal, rounded to the nearest thousandth.
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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