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Question Number 187215 by Humble last updated on 14/Feb/23

((√(n!))/n)=(√(20)) ; n=?

n!n=20;n=?

Answered by ajfour last updated on 14/Feb/23

((n!)/n^2 )=20 (n−1)!=20(n−1)+20 (n−2)!=20+((20)/(n−1)) n−1=1,2,4,5 (eligible candidates) lets check which qualifies ( . .) but also (n−2)!>20>3! ⇒ n>5 n−1=5 4!=20+4 ✓ n=6

n!n2=20(n−1)!=20(n−1)+20(n−2)!=20+20n−1n−1=1,2,4,5(eligiblecandidates)letscheckwhichqualifies(..)butalso(n−2)!>20>3!⇒n>5n−1=54!=20+4✓n=6

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