I have a small problem

I read that the there are 10x(4^5) possibilities for a straight (royal and straight flush included)

But I thought that there were 10x(20x16x12x8x4) possibilites

My highest card can be 5,6,7,...,K

So i have 10 possibilities for the highest card

Now I want to draw a straight 1,2,3,4,5

I have 20 possibilities for the first one:1 till 5 and there are 4 suits

for example I draw 1(spades), then I have 16 possibilities for the next card (4 suits and 4 cards).

What is wrong with my thinking?

Thanks guys