Number of Non-Negative Integer Solutions of linear Equation Part 1

Number of Non-Negative Integer Solutions Part 1 of linear Equation.
(a) how to find non negative integer solutions.
(b) how many non negative integer solutions.
(c) what is the number of non-negative integer solutions of the equation x1+x2+x3=10.
(d) How many solutions does the equation x1+x2+x3=11 have where x1, x2, and x3 are Natural Numbers?
(e) How many solutions does the equation x1+x2+x3+x4 + x5 p have where xi,p are natural numbers and?
(f) How many solutions are there to the equation x1 + x2 + x3 + x4 = 17, where x1, x2, x3, x4 are non negative integers?
(g) How many solutions are there to the equation x1+x2+x3=17? Where x1,x2,x3 are non negative with.
(h) How many solutions does the equation x1+x2+x3=11 have, where x1, x2 and x3 are non-negative integer?
(i) How many solutions does the equation x1+x2+x3=11 have?
(j) Number of solutions of the equation X1+X2+X3+....+Xr=n.
(k) Number of solutions of the equation
X1+X2+X3+....+Xn=m.
(l) number of positive integer solutions of x+y+z=n.
(m) number of positive integer solutions of x1+x2+x3+...xn.
(n) what is the total number of positive integer solutions to the equation.
(o) Counting Integral solutions.

Part 1 Number of non-negative integer solution of linear equation

Part 2 Number of positive integer solutions of linear equation

Part 3 Number of non-negative integer solution of linear equation

Part 4 Number of non-negative integer solution of linear equation

Part 5 Number of non-negative integer solution of linear inequation

Part 6 Number of non-negative integer solution with non-unity coefficient

Part 7 Number of non-negative integer solution when coefficients are greater than 1

Complete Playlist:

#iitjeemathematics, #iitjeemath,#iitjeemains,

[jalalasif]

I don't think I have ever had this amount of clarity towards a math concept like I did today, thank you so darn much!

[_wahahaha]

Reviewing after completing all 7 videos!
Really great sir! Thank you so much!

This is exactly what I needed
A 3-5 Min video explaining a single concept clearly and then completing with an example!

For each concept u made a 3-4min video and in this playlist only 7 videos explaining it all in approximately 21-25 Mins. I clearly understood how to find number of solutions in such cases!

U really need a big shoutout!

Will post this comment in every video of this playlist!

Guys really this is helpful!!

Once again Thank you so much sir ❤❤❤❤❤

[kapilparoda]

so good graphical explanaton . now i have understood evrything .thank you .

[kuetomi]

Thank you for the amazing explanation! I would’ve never understood it without your help!

[BhupendraYadav-lits]

Thank you so much for such a great explanation.

[_vyominijoshi]

finally..understood this thing clearly and completely 👌👌👌👌😊😊😊😊

[mathematics]

Hey it's very nice and quality proof!! Thanks

[virtuallyreal]

superb explanation...the best method to solve these kind of sums

[ravitheja]

Thanks for the clarity sir 😊. What an explanation 🔥🔥👍👍

[RyskinMD]

For Christ sake.... why the music in the background?!

[mohd.tanveer]

Thanks for both videos, which I could not understand in 1 hour understood in 10 mints

[tejaskumar]

Wow, I think i understand this concept better than I understood why 1+1=2.haha
Thankyou

[aryaveer]

This dude explained in 6 min what my teacher taught for 30 min and I undurstood

[rehnumarose]

So much helpful,
Thanks a lot. It would be much more better if you don't put a background music. It creates distraction.

[justaguy]

Thank you very much sir...short video with great explanation..👍👍

[balajeemishra]

Thank you so much from deep ❤️.. really great explanation..

[gokulnath]

Nice but cut the music plz...it's annoying

[youssefaly]

omg thank you so much I feel amazing right now

[ibrahimadam]

Really clear explanation. THE MUSIC is SO unnecessarily loud

[adityaadit]

Before I knew the general formula, I thought the answer was only five:
0+0+5 = 5
0+1+4 = 5
0+2+3 = 5
1+1+3 = 5
1+2+2 = 5

But as it turns out there's 21

Then I found out there are repeated digits, such as:
005 3 times
(0+0+5, 0+5+0, 5+0+0)
023 6 times
(0+2+3, 2+3+0, 3+2+0, 0+3+2, 2+0+3, 3+0+2)

And I thought "Isn't combination doesn't care about orders?"

Can you please explain this to me?
Thanks