Chapter 4.1, Problem 3CE

To determine

Tostudy the data in exercises 1 and 2 and find out which appears to be larger $n^n$ or $n!$

Answer to Problem 3CE

  $n^n$

Explanation of Solution

Given:

The expressions are $n^n$ and $n!$ for $n=1,2,3,4,5$

Calculation:

The following is the required BASICProgram-

From the previous two exercises let us have the values in the following table-

Value of n	Power $n^n$	Factorial $n!$
$n=2$	$4$	$2$
$n=3$	$27$	$6$
$n=4$	$256$	$24$
$n=5$	$3125$	$120$

It can be seen from the above table clearly that $n^n>>n!$