(n + 1)!/(n + 3)! напишите решение

Question

(n + 1)!/(n + 3)! напишите решение

Answer 1

N!=1*2*3*...*n
(n+1)!=1*2*3*...*n*(n+1)=n!*(n+1)
(n+3)!=1*2*3*...*n*(n+1)*(n+2)*(n+3)=n!*(n+1)*(n+2)*(n+3)

(n+1)!/(n+3)!=n!*(n+1)/n!*(n+1)*(n+2)*(n+3)=1/(n+2)*(n+3).