Melody

Hi MathsGod,

You have stumbled on a little problem.  I put it there to confuse you  :))

I think you have missed out on some ot the answers.

We have B B S S and Dora

so I think that  the number of permutations is         $$\frac{5!}{2!2!}=30$$

Can you find them all?

Notice that I keep using the word PERMUTATIONS.  This is a very specific maths word.

When doing probablilty it is very important to use the correct language, otherwise people will often misinterprete your meaning.  :)

"This makes me wonder that if we have 4 x 4 squares = 16 squares.....that the number of distinct paths of 12 units in length will equal 70.....in other words the sum of the middle two numbers in the 7th row of Pascal's Triangle  "

Should that have been 8 units Chris ?

It didn't matter anyway - there was nothing wrong with your answer :)

Yes I just used GeoGebra.   (This is a free program that anyone can download)

It could have been done more simply I think but this is how I did it

I draw the inside octagon,

then I drew in the diagonals to locate the centre,

then I draw the outer circle

then I extended the diagonals to determine the vertices for the outer octagon

then I drew the outer octogon.

then I did the labelling         :))

I think that question has already been solve today.  

What about it?

look at this to see how to put fractions into the calc

http://web2.0calc.com/questions/how-do-i-type-in-fractions

One is never and the other is always so they are opposites.

(Kind of like negative and positive )

Thanks Chris,

Here's another way

1)

 $$\\log_{0.6} 0.36\\\\
=log_{0.6} (0.6)^2\\\\
=2log_{0.6} (0.6)\\\\
=2*1\\\\
=2$$ 

Nice pic Chris,  LOL    :))