Question 37688
Well you know {{{70!}}} is {{{70*69*68*67*66}}}...and so on.
and {{{68!}}} is {{{68*67*66*65*64}}}...and so on.

Do you notice that what 70! and 68! have in common?
68! goes into 70!.  Since they are divided, you can simplify by crossing out all of the numbers of 68! from the denominator and the numerator. 
That leaves {{{70*69}}} in the numerator. 
Answer: {{{highlight(4830)}}}
Hope this helps!