Re: Is this an integer???
I) 12!/6!
II)12!/8!
III) 12!/7!5!
Suppose it is 6!/4! ?
\(\displaystyle \frac{6!}{4!}=\frac{1\cdot2\cdot3\cdot4\cdot5\cdot6}{1\cdot2\cdot3\cdot4}\)
Now, what cancellation can be done? Does it result in an integer?
Suppose it is 7!/9! ?
\(\displaystyle \frac{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7}{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9}\)
Now, what cancellation can be done? Does it result in an integer?