# combinations

1. ### Need to Confirm Statistics before coding a script

I actually have 2 statistic questions. My goal is to determine what all the exact combinations are of answering a multiple-choice quiz of 5 questions with 4 multiple-choices options to choose 1 answer. I have determined there are 1024 combinations because each question is answered 4 ways to the...
2. ### Question on sampling without replacement

Here is a question regarding sampling without replacement. Say there is a class size of 24, and the teacher is breaking students into groups of (4) for project work. The teacher selects the groups by putting all (24) names into a hat, then drawing (4) at a time. What is the probability that (2)...
3. ### Combinations average

I have 6 averages, 365, 406, 420, 416, 434, 435. How many ways can you split the group to have two groups of 3 with similar averages? The closer the average, the better. Each average can only be in one group.
4. ### Combination

You are at an ice cream shop that offers 9 different flavors of ice cream. A large ice cream cone comes with three scoops of ice cream. You can choose an ice cream cone with any combination of flavors for the three scoops: all three scoops can be the same flavor, two of the three can be the same...
5. ### Medals at the Olympics

Hi, I love sports and stats and so I am doing my Olympics research. I saw that there are 2 players from China's on each Badminton competition (MS, WS, MD, WD, XD). I calculated the chances of each winning the gold medal and then I calculated the chances of them winning 0, 1,2,3,4 or 5 medals...
6. ### Intro Stats Problem.

A student takes a true or false test with 15 questions. He guesses on every question. 1) Find the probability that he gets atleast 1 question right 2) Find the probability he gets 60% or higher. I am stuck. I know it is something with perms and coms. Any help would be great.
7. ### Combinatorial Analysis HW Help

There are 100 U.S Senators, two from each of the 50 States. If 12 Senators are randomly chosen to form a committee, what is the probabilty that they are alll from different states? If 12 senators are chosen at random from the 100 senators, what is the probabilty that neither of the two...
8. ### generate constrained combinations

I have some vectors like this V1=[1,2,3,4,5] V2=[7,8,9,10,11] V3=[15,16,17,18,19] V4=[3,4,5,6,7] I would like to get all possible combinations from these vectors that look like this [V1[i],V2[j],V3[k],v4[z]] and that sums up to 3+9+17+5. I would like to get all combinations with one...
9. ### The Probabiliy of Making it

I have 1,2,3,4,5,6,7,8,9,10,11,12 teams. Only 8/12 teams make it to the playoffs. What is the probability that 3,4,5,8,9,10 are part of the 8 teams that make it to the playoffs? Given each team has 1/12 chance of making it. I solved it like this, (8 choose 6) /(12 choose 8) = 0.056. Is this...
10. ### Probability distribution of combinations

Hi to everybody! I would ask an advice on an analysis that I want to do. I have n=69 balls, within 69, 17 are black balls, 29 white balls, 22 red balls and 1 yellow balls. How can I compute a probability distribution of all possible combinations in r=7 positions, considering that could...
11. ### Probability distribution of all possible combinations

Hi to everybody! I would ask an advice on an analysis that I want to do. I have n=69 balls, within 69, 17 are black balls, 29 white balls, 22 red balls and 1 yellow balls. How can I compute a probability distribution of all possible combinations in r=7 positions, considering that could...
12. ### Seeking Stats/Maths Experts for Help Determining Possible Analysis of Complex Data

Dear all, I have recently started a new job and have taken on a large and complex data set. I do not think meaningful analysis is possible, but I am hopeful that I am wrong. I am seeking answers to two questions; 1. Have I correctly calculated the possible combinations of answers & if so...
13. ### Filter combinations

1.In football matches,3 teams are played,one is home team and another one is away team,draw team matches is one of them,each team have 15 matches,the player select the matches relevant probability is generated , the best we can say is how likely they are to happen, the player select each team...
14. ### Combinations Dinner Party

This is a simple problem, but I am struggling with it. I have the answer, but I need some help to understand the logic behind it. A woman has 11 close friends.(a) Find the number of ways she can invite five of them to dinner? (b) Find the number of ways she can invite five of her friends to...
15. ### Consecutive outcomes of events

I am trying to figure out the probability for not having consecutive like outcomes from a large sample and can't figure out where to begin. Say for example I have a weighted coin such that heads occurs with 75% probability and tails occurs with 25% probability. If I know that out of 40 coin...
16. ### Lottery Game Question (6/42)

So I'm having a little difficulty with this lottery game question. I think this game is similar to the actual 6/49 game in Atlantic Canada, if anyone is even familiar with that area. So, say there is a lottery game that has 42 balls, numbered from 1-42. The player chooses 6 numbers of...
17. ### Different arrangments of n 0's and m 1's

This simply stated problem is giving me some trouble: How many different ways can I arrange n 0's and m 1's? Perhaps someone would direct me towards a known formula?
18. ### Probability- Combinations

I need help getting started with this question. We've done combination questions, but not with percents, and its throwing me off. Computer Products Corporation (CPC) produces microchips. The microchips are inspected at the end of the production process at a quality control station. Out of...
19. ### Probability Involving a Variation on Poker

Hey everyone, I've been experimenting with probability lately, and I've been creating various games for fun and analyzing the math behind them. On this one though, I'm stuck and have no idea what I'm doing wrong. The game: Using a random number generator, (1-7) draw 5 numbers to use as a...
20. ### Counting Combinations

I have a text file that has several thousand combinations of 6 number from 1 to 54. I am trying to find a code for counting the number of times each combination appears in the file. Can anyone help with that? I am using R.