3 or 4 ?

[P.J.]

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3 or 4 ?

Source:https://www.google.com/search?

 

[Raji Ram]

The drawing is wrong!

Check out the lines starting from the left side!

 

[Raji Ram]

Mathematical proof is possible for the above drawing!

If the number of planks drawn in the left side is taken as 'n', the number of planks in the right side is 'n-1'

We need 2n+1 lines in total, to draw 'n' planks in the left side and three lines for EACH of the planks on the right.

The equation to find 'n' is:

2n +1 = 3 X (n-1) since we need 3 lines to represent a plank in the right side.

2n + 1 = 3n - 3

changing sides

3n - 2n = 1 + 3

Hence n = 4.

That is why four planks are shown in the left side and three on the right!

 

[P.J.]

Raji Madam

Thanks

But enakku onnum puriyala!!!!

 

[Raji Ram]

Are you not a math student P J Sir?

It is a very simple calculation.

 

[SANDHYAV]

1. We need 2n+1 lines in total, to draw 'n' planks in the left side and three lines for EACH of the planks on the right.

The equation to find 'n' is:

2. 2n +1 = 3 X (n-1) since we need 3 lines to represent a plank in the right side.

1. how
2. why 3 times n-1

 

[Raji Ram]

1. We need 2n+1 lines in total, to draw 'n' planks in the left side and three lines for EACH of the planks on the right.

The equation to find 'n' is:

2. 2n +1 = 3 X (n-1) since we need 3 lines to represent a plank in the right side.

1. how
2. why 3 times n-1

1. We have taken 'n' as the number of planks in the LHS. Here, only the first plank needs three lines and the following have two more EACH.

Thus we need 3 + 2 + 2 and so on to draw in that manner. All the planks after the first need ONLY two lines. So total lines are 2n + 1 OK?

We have one plank LESS on the right hand side. Since the number of planks on LHS is denoted by 'n' the number on the RHS will be (n - 1)

Hope it is clear up to this.

2. We need three lines to denote EACH plank on the RHS. So, we have to multiply the number of planks in RHS by 3 to get the number of lines.

Since the lines drawn are the SAME for planks on LHS and RHS, we equate 2n + 1 and 3 x (n - 1) :thumb:

 

[SANDHYAV]

haha,
only horizontal lines !
also this 4-3 combination is possible only for 4-3 and not for 5-4

 

[Raji Ram]

haha,
only horizontal lines !
also this 4-3 combination is possible only for 4-3 and not for 5-4

YES! In fact ONLY for 4 and 3 if drawn in this way! :decision:

 

[prasad1]

The drawing is wrong!

Check out the lines starting from the left side!

I agree with Rajiji,
The 2nd z-axis line are wrong.
The 3rd Y-axis line is wrong.

 

[P.J.]

Are you not a math student P J Sir?

It is a very simple calculation.

Raji Madam

No...... I took only General Mathematics

Verala uttu kootra case illa , better than that !!