Maths Formulas for Ready Reference

[Tejasvi Hegde]

Attached here is collected formulas for ready reference

For detailed notes on Maths check 

https://groups.google.com/a/nptel.iitm.ac.in/g/ma1001-discuss/c/ubIcoEBawtg/m/XKjzvrOKAgAJ

For Stats 

https://groups.google.com/a/nptel.iitm.ac.in/g/ma1002-discuss/c/yYjyIWX9-aQ/m/PNjAtu0pAQAJ

[Malabika Guha Mustafi]

Would you please include this one.( in week 1 , one question came )

The total number of combinations of n objects taken k at a time, denoted nCk, is given by
   

    nCk =

 

[Malabika Guha Mustafi]

In set theory, subset formula.

Where k is the no .of elements in group to be taken from a set of n element.

[nikhil kambli]

no of subsets in a set is 2^n  where n represent the no of elements

also one more question came  in the ungraded assignments and the mock test

where a^x- b^y = b^y(a^(x-y)-1)

[Malabika Guha Mustafi]

@ nikhil , I am talking  about grouping. 

 If we want to make a subset of 2 elements from a set contains 3 elements .

 then n=3

k=2

Total subset 6 (not 2^3=8)

[Malabika Guha Mustafi]

Suppose A={a,b,c,d}. How many subsets of 2 elements are possible?

.Graded assignment q.9.

where a^x- b^y = b^y(a^(x-y)-1)..Yes.

[nikhil kambli]

Got it, thanks! 

It is more of a problem of combination .

[Malabika Guha Mustafi]

Exactly.

[Akshay Malik]

Sometimes you guys scare me when I see such formulas in the discussion!

Suppose A={a,b,c,d}. How many subsets of 2 elements are possible?

@Malabika

Answer would be 16 right!

4 choices * 4 choices = 16

as repetition is allowed!

[Akshay Malik]

And thanks a lot for making the formula sheet! Its going to save a lot of time for me.

[Malabika Guha Mustafi]

No 6

[Akshay Malik]

Will you please explain how ?

[nikhil kambli]

Shouldn't the answer be 6

On Mon, 16 Nov 2020, 20:59 Akshay Malik, <akshaym...@gmail.com> wrote:

[Tejasvi Hegde]

Added formula for set (as was discussed here)

[Malabika Guha Mustafi]

We are talking about set not relation.

You can directly put it in combination formula or (a,b) (a,c) ( a, d) ( b, c) ( b, d) ( c,d)

[Malabika Guha Mustafi]

Thanks a lot. 

[Akshay Malik]

If we are to take all the possible combinations of 2 elements , will not they be all the ordered pairs in the set A * A ?

[Dhiman Sengupta]

if it is distinct then nCk formula then 6, if duplication allowed total possibility 2^n = 16..

Am I right ?

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Thanks,

Dhiman Sengupta

Bangalore

Ph: +91 7338130710

[Akshay Malik]

Sorry to trouble ! But its a bit difficult for me to understand the formula !

but let's say we got 8 elements {a,b,c,d, e ,f, g, h}, will you share the application of the formula ? What will be the answer ?

[Akshay Malik]

is this correct ?

[Dhiman Sengupta]

28. 

[n(n-1)]/2 = 28 distinct pair

[Akshay Malik]

Yeah ! Got it. Thanks @Sengupta @ Malabika

[Malabika Guha Mustafi]

Guys 2^n is the powerset means maximum number of subset can be  formed from  a se of n element. There is no duplication. Order is not important in set like cartesian product and repeated data is considered 1 or same.

[Dhiman Sengupta]

You are right malabika.. I was wrong.. max subset possible is 2^n = 16 for any 4 element set.. if the qs is max subset of  2 elements then 6.. right this time??

[Malabika Guha Mustafi]

Yes! 

[Dhiman Sengupta]

Thank you.

[Debajyoti Biswas]

For Math, just check the basics of school level math formulae, (although they are not much required) read all major concepts taught in the course (mandatory), you can pass the exam, see, it is very important to get the qualifying marks, above that, the more you can do, the better, but stay calm, read the questions, think before answering and you can crack it. Also, the questions are checked multiple times, there are no ambiguities or errors. Also, remember that it is a timed exam, so note the time you are taking and plan ahead.

[Malabika Guha Mustafi]

Thanks .Since it will be an auto submission exam then multiple submission is not allowed. Am I right?

[Debajyoti Biswas]

submit button will be enabled 120 minutes after exam start. students can submit and leave thereafter. Submit button to be clicked by you is mandatory. You will be asked for confirmtion 2 times before it gets submitted, and once submitted, the exam will close, candidates cannot open the exam again.

[Malabika Guha Mustafi]

Thanks a lot.

[Malabika Guha Mustafi]

But today two members from  Team confirmed in another thread that it will be auto submission. That's why confused.  

[Kaushik Deka]

Hi Debajyoti,

This is critical information! Why is it not mentioned in the instructions given with the hall ticket? 

Thank you very much for the clarification.

Regards,

Kaushik

To view this discussion on the web visit https://groups.google.com/a/nptel.iitm.ac.in/d/msgid/ma1001-discuss/df80f0d1-d0d8-4b76-b1de-d4f32456d42fn%40nptel.iitm.ac.in.

[Malabika Guha Mustafi]

I totally agree with you. 

[Tejasvi Hegde]

Few of my queries.

1. Will there be submission for each subject ?

2. Will the answers will be auto saved and can be modified any number of times before submission ?

3. Can we switch between subjects and enter answers without submitting for any subject ?

[Tejasvi Hegde]

I guess one of the precautions we need to do is to write question and answers in separate page so that in case of any technical issues, we can enter them again  

[Dhannya POD]

There won't be individual submissions for each subject.

Yes, the answers are auto-saved and can be modified any number of times before submitting.

You can switch between subjects without submitting.

Pressing the submit button by the student is mandatory. 

And there is only one submission (but before you submit, you will be asked at least 2 times to confirm submission). 

But the button will be enabled only after 2 hours into the exam. So, if anyone wants to leave before that, they will have to leave without submitting the answers :)

To view this discussion on the web visit https://groups.google.com/a/nptel.iitm.ac.in/d/msgid/ma1001-discuss/0d267ec3-9539-4629-909e-65c12f88f571n%40nptel.iitm.ac.in.

--

Dhannya. S. M,

IITM Online Degree Project,

IIT Madras.

[Malabika Guha Mustafi]

Thank you .

Re: Time given is too less for Mathematics Mock testbe multiple submission so advise people to submit multiple time. But I think that move will be suicidal. On Tuesday, 17 November 2020 at 10:25:06 UTC+5:30 shubha...@onlinedegree

Please provide all the information in hall ticket. 

If someone missed the thread then just for wrong information they may not press submit button.