MathDB

4

Part of 2011 QEDMO 9th

Problems(1)

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

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

5/15/2021
Prove that (n!)!(n!)! is a multiple of (n!)(nāˆ’1)!(n!)^{(n-1)!}
factorialnumber theorymultipledivides