Melody

On the subject of combinatorics. As I expect this? I have a board consisting of 4 components . Each component has 48 different manufacturers . Each component of each manufacturer has 7 different colors . How many combinations are possible?

component 1 can be 48 diff manufactures and 7 different colour,  that is 48*7 = 336 posiblilities.

there are 4 components so that is    4*336 = 1344 combinatons :)

Hi DS, I only just saw your question.

It is really good to see you on the forum :)

Are you happy with EP's answers?  

I wish you could visit more often, we still miss you here :)

thanks EP :)

inversine is the same as arc sine.

use asin :)

Yes Chris wouild be right I read the quesiton incorrectly.

Find the distance (departure) to the nearest whole mile between initial position 50° 00' N 02° 00' W and 50° 00' N 01° 26' W

I read the second one as 26 degrees west INSTEAD OF  1 degree and 26 minutes west.

I will do the last bit a again.  I am assumingthat the earth is a perfect sphere - which it isn't.  

And that the 2 points are both at sea level.

The difference in longitude is 34 seconds.

\(distance = \frac{34}{360*60}*2*\pi*2544.8=25 miles\)

Now wolfram alpha and I agree  

That is not correct EP   

How much medicine the patient is given depends on how much they weigh 

SO

the wieght is the INDEPENDENT  variable and 

the dose is the DEPENDENT  variable.  (it depends on the weight)

Find the distance (departure) to the nearest whole mile between initial position 50° 00' N 02° 00' W and 50° 00' N 01° 26' W '

I am working on the Earth being a sphere with a radius of 3959 miles

These two places both have a latitude of 50 degrees north and the longitudes are different by 24 degrees.

I need to work out what the radius of the earth is on the minor circle of 50 degrees north.

\(sin(90-50)=\frac{r}{3959}\\ 3959sin(40)=r\\ r=2544.8miles\\ \\~\\ distance=\frac{24}{360}*2*\pi*2544.8 = 1066\;miles\)

*

Hi Guest according to your calculation there is only 48 weeks in a year.  (4*12)  .. Is that right??

-7(-4+4) = -7*0 = 0

I saw Max or EP answer this exact same question a couple of days ago.

Hint, the first on has a common ratio of 3, what if the common ratio was negative?

what will be the answer if we add one and infinity

It will still be infinity.