Tuesday, 20 August 2024

A UNIQUE MOCK TEST for each Student ?

 Colleagues ,

 

Yesterday , Kishan sent to me , following Whatsapp :

 

“we've generated approximately 8,000 MCQ questions from those books

now, I'm developing the logic to generate a test using these questions “

 

I suppose , this would imply ( say ) 2500 MCQ for NEET / JEE and UGCUET , each ( approx. )

 

That made me chat with ChatGPT as follows :

 

Good Morning , ChatGPT :

 

I have a database of 2500 MCQ for NEET test. Using random number system , how many UNIQUE sets of question papers can I generate , where each question paper contains 10 questions ?

 

ChatGPT said:

 

Good morning!

 

To determine how many unique sets of question papers you can generate, we need to calculate the number of combinations of 10 questions that can be selected from a pool of 2,500 questions.

 

This can be calculated using the combination formula:

 

Number of unique sets=(250010)\text{Number of unique sets} =

 

\binom{2500}{10}Number of unique sets=(102500)

 

Where (nk)\binom{n}{k}(kn) is the number of combinations, and it's calculated as:

 

(nk)=n!k!(n−k)!\binom{n}{k} = \frac{n!}{k!(n-k)!}(kn)=k!(n−k)!n!

 

Let me calculate this for you.

 

You can generate approximately 2.58×10272.58 \times 10^{27}2.58×1027 unique sets of question papers,

where each set contains 10 questions selected from a pool of 2,500 questions. This is an extremely large

 

number, ensuring a vast diversity of unique question papers. ​​

 

 

You said:

 

Hey , I am not too good at maths , Can you just tell me that big number in BILLIONS ?

 

ChatGPT said:

 

Sure!

 

The number of unique sets of question papers you can generate is approximately

 

2,581,129,725,902,993,722,863 billions.

 

This is an incredibly large number, so you're definitely well-covered in terms of variety !

 

 

Kishan ,

 

Is this logic correct ?

 

If yes , we should “ boast “ about it on the landing page of My-Teacher

 

During recent NEET Scam , a number of “ Experts “ had come up with the desirability of each student ( appearing in NEET – last May , there were 24 lakhs ), getting on his / her computer , a UNIQUE test ( but with same degree of disability )

 

Apparently , this is quite FEASIBLE – and I believe MICROSOFT is already using it for many years

 

Hcp

 

 

Related Reading :

 

Ø   Exam Malpractices ? No More !  …  19  Oct  2019

 

 

Extract :

 

“  Although, the news report does not spell out, I suppose that :

 

 

 

Ø   Students appearing at TCS examination centers, do so on a computer screen

 

 

Ø  No two students have the same questions in their exam papers and for each student, the exam paper is instantaneously / randomly generated on the fly, from a vast data bank of questions of similar “ Degree of Difficulty 

 

 

 

Ø  There is a time limit for solving the online paper

 

 

Ø  As soon as the time gets over, the SCORE [ result ] is flashed on the screen, along with a rejection letter or an ( provisional ) “ Appointment Letter “ – which, the selected student must “ accept “ online and immediately

 

 

In India, hardly a week passes without millions of students appearing in exams being conducted by schools / colleges / Institutes / Prof Bodies / Exam Boards etc

 

 

Then there is Railway Board conducting paper-based written exams in thousands of exam centers, all over India, for millions of job-aspirants

 

 

Ditto with Indian Association of Bankers

 

 

And each of these is susceptible for cheating / paper-leaking / heartburning and injustice to bright students

 

 

Lakhs of crores of rupees and billions of man-hours and millions of tons of papers are wasted

 

 

All of this wastage of National Resources can be saved, if only Shri Prakash Javadekarji, requests TCS

 

 

 

Ø    To share its technology platform to the entire Education Industry , for FREE

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