MathDB

(n!)! is a multiple of (n!)^{(n-1)!}

Source: 9th QEDMO p4 Juniors (21-22. 9. 2011) https://artofproblemsolving.com/community/c1512515_qedmo_200507

May 15, 2021

factorialnumber theorymultipledivides

Problem Statement

Prove that

(n!)!

is a multiple of

(n!)^{(n-1)!}