Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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0/0 seems invalid to me . 0 can't be the denumerator .that's the rule.

Could this help?

To Jane question

I haven't learn Fermat's little theorem thought , there is way to do it

Is group helpful on this one?

Let's just say removing 4 sticks.

Yah , it comes from mutiplication law of mod

This one is easier

Skating: 0.55

Racquet sports: 0.35

These are not pure Skiing , skating and Racquet? OH , Nevermind.then,

thanks Jane.

I got the same answer as you did on the first one

the second one , however I got 13/18

Four player throw dices, the result can be listed

_ _ _ _ (each blank can be filled in with 1,2,3,4,5,6)

Let's consider the counter situation

the first blank can take value from 1 to 6 , ( choose 1 from 6)

Since the second blank must be different ,there only 5 choice ( choose 1 from 5)

So on...

and the number of arrangement that four players roll different number is 6x5x4x3

the probability of four players roll different number will be (6x5x4x3)/(6x6x6x6)

then , at least two ppl roll the same number will be 1- (6x5x4x3)/(6x6x6x6)

Look at the climate change in China , Very convincing example of Global warming.

The longest Ive learned is "electroencephalogram"

Since A,B,C,D are distinct , and primes can't be divides by 2, or 5.

A,B,C,D={1,3,7,9},A+B+C+D=20

S=(2A+2B)1000+(A+2D+C)100+(A+2D+C)10+(A+B+C+D)=2000(A+B)+(A+2D+C)110+20

Luca is right.

Daniel123 wrote:

If the universe is expanding, what happens when you get to the edge of it? And i dont see how it can be both infinite and expanding - because if it was expanding, there must be and edge that is expanding, but if it was infinite then there would be universe already beyond that edge. Does anyone understand what i mean?

Got a simply answer , the universe is infinite because it's expanding. Expanding

infinite.But I have no idea on the second one.

U can use the formula

I got a very elementary method .

My situation is kinda different , I've been in USA for 5 month by now, I have to prepare for SAT .

I really love math thought I am not very good at it.

This seems kinda oof topic , let's get back to it

Haha , I am 18~

Maybe the word end has extra abstract concept when applying to the universe.

In the void of death

Hollow outstrips conciousness

All become surreal.