Tip:A–D to answerE for explanationV for videoS to reveal answer
The largest n∈N such that 3n∣50! is:
- A.
21
- B.
22
(Correct Answer) - C.
20
- D.
23
Explanation
n=⌊350⌋+⌊3250⌋+⌊3350⌋+⌊3450⌋
[ ]=Greatest integer function
n=16+5+1+0+⋯
n=22
Maximum value of n=22
Explanation
n=⌊350⌋+⌊3250⌋+⌊3350⌋+⌊3450⌋
[ ]=Greatest integer function
n=16+5+1+0+⋯
n=22
Maximum value of n=22