How to find out combination from following situation

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In summary, the conversation discusses a problem involving three numbers with two possible statuses, "a" or "b." Only one status can exist at a time for each number and the order of the numbers is predetermined. The fundamental counting principle is used to determine the number of combinations, which is the product of each number's possible states. The product for this problem is 108. The conversation also mentions a website, Wolfram|Alpha, that can help with formulating large and small numbers.
  • #1
rajemessage
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Dear All,

There are three numbers they can have two status "a" or "b".
only one status can exist at one time for a number.
I have to chose three number(1,2,3) , they will be in this order only.
, so please tel how many combination
can be there?

1(a)
2(a)
2(b)
3(a)
3(b)

yours sincerley
 
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  • #2
Hello and welcome to MHB! :D

I have moved this thread because while it may be given in a university course, it is the type of problem you would find in an introductory course in statistics.

Now, you want to apply the fundamental counting principle. The number of combinations here will be the product of each numbers possible states...what would that be?
 
  • #3
MarkFL said:
Hello and welcome to MHB! :D

I have moved this thread because while it may be given in a university course, it is the type of problem you would find in an introductory course in statistics.

Now, you want to apply the fundamental counting principle. The number of combinations here will be the product of each numbers possible states...what would that be?

sorry, i forgot to mention 1 will have only one status "a"

if possible please send me some links , with which i can formulate big numbers.yours sinclerely
 
  • #4
rajemessage said:
sorry, i forgot to mention 1 will have only one status "a"

if possible please send me some links , with which i can formulate big numbers.yours sinclerely

That's okay, the problem is still worked in the same way, you will just have a different factor representing the number of states for "1." You want the number of states for "1" times the number of states for "2" times the number of states for "3"...what will this product be?

As for a site that will let you formulate numbers large and small, I recommend:

Wolfram|Alpha: Computational Knowledge Engine
 
  • #5
MarkFL said:
That's okay, the problem is still worked in the same way, you will just have a different factor representing the number of states for "1." You want the number of states for "1" times the number of states for "2" times the number of states for "3"...what will this product be?

As for a site that will let you formulate numbers large and small, I recommend:

Wolfram|Alpha: Computational Knowledge Engine

yes
 

FAQ: How to find out combination from following situation

How do I find the combination from a given situation?

To find the combination from a given situation, you will need to gather all the relevant information and data. This may include variables, equations, and any other relevant factors. Then, you can use the scientific method to analyze and interpret the data to determine the combination.

What is the scientific method and how does it help me find the combination?

The scientific method is a systematic approach to problem-solving that involves making observations, forming a hypothesis, conducting experiments, and analyzing data to draw conclusions. It helps you organize and analyze complex information to find the most logical and accurate solution to a problem, such as finding a combination.

Can I use any scientific tools or techniques to help me find the combination?

Yes, there are various scientific tools and techniques that can aid in finding a combination. For example, statistical analysis, computer simulations, and mathematical models are commonly used to determine combinations in different situations.

Is it possible to find the combination without any prior knowledge or experience?

In most cases, having some prior knowledge or experience in the relevant field of study can be helpful in finding the combination. However, it is not always necessary as long as you have a thorough understanding of the scientific method and access to the necessary data and tools.

How can I ensure the accuracy of my findings when determining the combination?

To ensure the accuracy of your findings, it is important to follow the scientific method rigorously. This includes controlling variables, conducting multiple trials, and verifying results with other scientific experts. It is also important to critically evaluate your methods and results to identify any potential errors or biases.

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