Is Order Important in Permutations and Combinations for Probability?

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In summary, the conversation discusses the differences between permutation and combination and how the probability of an event is calculated using these concepts. It is mentioned that in permutation, order is important while in combination, order is not important. The conversation also mentions that permutation is combination times r!, and the probability of nCr is greater than nPr.
  • #1
hazim
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[SOLVED] what's wrong with this

nPr= n!/(n-r)! and here in permutation order is important, and in combination
nCr= n!/( r!(n-r)! ) order is not important, so the propability of ana event will be more for combination from permutation, but permutation is combination times r!, so what is wrong with me and not with my question:smile:
 
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  • #2
i don't know who told u that in permutation order is not important because i think it is important...that's the difference between permutation and combination.
 
  • #3
sorry i was mistaken but now i corrected my question
 
  • #4
the PROBABILITY will be more for combination
eg. nCr=7
and nPr= 60
so let's say the number 2 is in both then prob for nCr is 2/7
and for nPr it's 2/60
2/7 is greater than 2/60
am i making any sense?
i'm not sure if that's 100% right.
 
  • #5
i didn't understand you, i mean if n and r are the same for combination and permutation, the result will be nCr > nPr, that is what I'm not understanding, but what is r and n in your post?
 
  • #6
whatever r and n are...it doesn't matter because u want the probability, so if nPr>nCr, then the probaility of nCr is > prob of nPr.
 

FAQ: Is Order Important in Permutations and Combinations for Probability?

What is the scientific method?

The scientific method is a systematic approach to investigating and understanding the natural world. It involves making observations, forming hypotheses, conducting experiments, and analyzing data to draw conclusions. This method allows scientists to test and refine their ideas and theories in order to better understand the world around us.

How do scientists make discoveries?

Scientists make discoveries through the use of the scientific method. They first make observations and ask questions about the natural world. Then, they form hypotheses and design experiments to test those hypotheses. Through experimentation and analysis of data, scientists are able to make new discoveries and gain a deeper understanding of the world.

What is peer review?

Peer review is the process by which scientific research is evaluated by other experts in the same field. Before a study is published in a scientific journal, it must go through a peer review process where other scientists review and critique the research methods and findings. This helps to ensure the accuracy and validity of the research.

What is the role of statistics in science?

Statistics play a crucial role in science by allowing researchers to analyze and interpret data in a meaningful way. Through statistical analysis, scientists can determine the likelihood of obtaining certain results by chance, identify patterns and trends in data, and make inferences about a larger population based on a sample. This helps to ensure the reliability and validity of scientific studies.

What are the ethical considerations in scientific research?

Ethical considerations are an important aspect of scientific research. This includes ensuring the safety and well-being of research subjects, obtaining informed consent, and minimizing any potential harm or risks. Scientists must also adhere to ethical standards in the collection, analysis, and reporting of data. This helps to protect the rights and dignity of all individuals involved in the research process.

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