Question

200! / 198! x2!
Show how to get this awnser :)

Answer 1

I'm assuming the "2!" is in the denominator.

`(200!)/(198! * 2!)=(200*199*198!)/(198! * 2!)\\\\=(200*199)/(2!)\\\\=(200*199)/(2*1)\\\\=(39800)/(2)\\\\=19900\\\\\text{Therefore, } (200!)/(198! * 2!) = 19900\\\\`

Take note how the "198!" terms cancel out.