find the first two non-zero digit FTNZD of (555!).(444!)

(Q). find the first two non-zero digit FTNZD of (555!).(444!).
Solution:-

if wer multiply these two factorial numbers then number of trailing zeros in the product will be the summation of trailing zeros in these two factorial numbers.
∴ FTNZD of product = FTNZD(555!) × FTNZD(444!)
= 56 × 48
= 88 Answer