Post mathematic related questions here

rst

Youngling
If you have any mathematic related question
post here
we can try to solve them

I know yahoo answer is good platform for such things.
But there is problem of uploading images in yahoo answer
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maths symbols
£ ω ∴ ∂ Φ γ δ μ σ Є Ø Ω ∩ ≈ ≡ ≈ ≅ ≠ ≤ ≥ • ~ ± ∓ ∤ ◅∈ ∉ ⊆ ⊂ ∪ ⊥ ô ∫ Σ → ∞ Π Δ Ψ Γ ∮ ∇∂ √ °α β γ δ ε ζ η θ ι κ λ ν ξ ο π ρ σ τ υ φ χ ψ
x⁰ ¹ ² ³ ⁴ ⁵ ⁶ ⁷ ⁸ ⁹ ⁺ ⁻ ⁿ
x₀ ₁ ₂ ₃ ₄ ₅ ₆ ₇ ₈ ₉ ₊ ₋

⅓ ⅔ ⅕ ⅖ ⅗ ⅘ ⅙ ⅚ ⅛ ⅜ ⅝ ⅞
 
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OP
rst

rst

Youngling
Re: mathematic related questions

thanks

Can you solve this question
find missing letter ???

missing letter.PNG

(Also you can ask your mathematics related questions or queries
we will try to solve them)
 
Last edited:
OP
rst

rst

Youngling
Re: mathematic related questions

Answer is "Z"

--------------------------------------------
Its really hard question

in upper and lower box
there are 3 continuous letters E,F,G (then 2 letter gap) J,K (then 3 letters gap) O

similarly in left and right box
there are 3 continuous letters P,Q,R (then 2 letter gap) U,V (then 3 letters gap) "Z"
 

digit.sh

Journeyman
Re: mathematic related questions

Solve this one :)

3 kids plucked a total of 10 flowers. In how many ways they can distribute the flowers among themselves?

Like:
way 1) kid no. 1 takes 0 flower, kid 2 takes 0 flower and kid 3 takes 10 flowers.
way 2) kid no. 1 takes 0 flower, kid 2 takes 1 flower and kid 3 takes 9 flowers.
.
.
.
and so on.

How many ways in total? :)
 
Last edited:
OP
rst

rst

Youngling
Re: mathematic related questions

I think using permutation P(10,3) ways
P(10,3)= 10 ! / 7!
= 10 X 9 X8
=720 ways

IS it correct ??
 

digit.sh

Journeyman
Re: mathematic related questions

No.
Think like this:
You are given 10 identical coins and three boxes. Your task is to distribute the coins in the three boxes in the following manner:
left box: x coins, middle box: y coins, right box: z coins, such that x+y+z=10

This is definitely not P(10,3).
 
OP
rst

rst

Youngling
Re: mathematic related questions

Ok
Lets try this way
possibilities are
1) 0,0,10
2) 0,1,9
3)0,2,8
.
.
.
11) 0,10,0

here I fixed 0 in first place

similarly I can fix 1 in first place
1) 1,0,9
2) 1,1,8
3)1,2,7
.
.
.
10) 1,9,0

similarly I can fix 2 in first place
1) 2,0,8
2) 2,1,7
3)2,2,6
.
.
.
9) 2,8,0

so in this way
we get = 11+10+9...+1
=66 ways


Is it correct ??

If not,plz give correct answer
 

digit.sh

Journeyman
Re: mathematic related questions

Ok
Lets try this way
possibilities are
1) 0,0,10
2) 0,1,9
3)0,2,8
.
.
.
11) 0,10,0

here I fixed 0 in first place

similarly I can fix 1 in first place
1) 1,0,9
2) 1,1,8
3)1,2,7
.
.
.
10) 1,9,0

similarly I can fix 2 in first place
1) 2,0,8
2) 2,1,7
3)2,2,6
.
.
.
9) 2,8,0

so in this way
we get = 11+10+9...+1
=66 ways


Is it correct ??

If not,plz give correct answer


Correct.
But there is a better and easy way to solve problems like these. I shall write about that if you are interested. Also, this particular problem is the base problem of the family of problems derived from it. While you could solve the base problem using the brute force method, its much harder to solve the other problems of this family using this method.
 

Vignesh B

Youngling
Re: mathematic related questions

Correct.
But there is a better and easy way to solve problems like these. I shall write about that if you are interested. Also, this particular problem is the base problem of the family of problems derived from it. While you could solve the base problem using the brute force method, its much harder to solve the other problems of this family using this method.
(n+r-1)C(r-1) where n is 10 and r is 3. Is it correct?
 
OP
rst

rst

Youngling
Re: mathematic related questions

Correct.
But there is a better and easy way to solve problems like these. I shall write about that if you are interested. Also, this particular problem is the base problem of the family of problems derived from it. While you could solve the base problem using the brute force method, its much harder to solve the other problems of this family using this method.

yeah,
everyone prefer short method

(n+r-1)C(r-1) where n is 10 and r is 3. Is it correct?
It is also giving the same answer
 

NoasArcAngel

Wise Old Owl
Re: mathematic related questions

1. if i divide a square into 8 boxes how many squares will i get? (max possible)

2. if i divide a square into 8 equal squares how many squares will i get?

EDIT :

not counting original square in both
 
Last edited:
OP
rst

rst

Youngling
Re: mathematic related questions

1. if i divide a square into 8 boxes how many squares will i get? (max possible)

2. if i divide a square into 8 equal squares how many squares will i get?

EDIT :

not counting original square in both
I don't understand the first question
By boxes , do you mean rectangle ??
 

Niilesh

Padawan
Re: mathematic related questions

1. if i divide a square into 8 boxes how many squares will i get? (max possible)

2. if i divide a square into 8 equal squares how many squares will i get?

EDIT :

not counting original square in both
2 --> 2^2 + ....... + 8^2 = 203

Yes this one. But why is it correct? The explanation is more interesting. :)

@rst, vignesh, can you explain it?

I Can explain it :)
 
OP
rst

rst

Youngling
Re: mathematic related questions

1. if i divide a square into 8 boxes how many squares will i get? (max possible)

2. if i divide a square into 8 equal squares how many squares will i get?

EDIT :

not counting original square in both

Is it possible to divide a square into 8 equal square?
 
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