Question #43321

1 Answer
Jan 23, 2018

See explanation.

Explanation:

If #X# is a natural number greater than #1# then the expression can be written as:

#(X-2) ! =1xx2xx3xx...xx(X-2)#

You can also write #(X-2)!# in terms of #X!#

The definition of #X!# is:

#X! = 1xx2xx3xx...xx(X-2)xx(X-1)xxX# which can be expressed as:

#X! = (X-2)!xx(X-1)xxX#, so we can write #(X-2)!# as:

#(X-2)! = (X!)/(Xxx(X-1))#