1. The problem statement, all variables and given/known data for all integers n>=1, n! <= n^n 2. Relevant equations 3. The attempt at a solution Base case: (1)! <= (1)^(1) 1=1 check Inductive hypothesis: suppose k!<=k^k P(k+1): (k+1)! <= (k+1)^(k+1) From here on out I get very confused. Any help would be appreciated!