Questão 17 Calcule os valores abaixo: a) 6! b) 4!/3! c) 7!/5! d) 10!/(5cdot 9!) e) 20!/(18!cdot 2!) g) (8!cdot 5!)/7! h) (10cdot 8!)/9! i) (13!cdot 12!)/(11!cdot 10!) j) (100!cdot 99!cdot 98!)/(99!cdot 98!cdot 97!) k) n!/(n-1)! I) [(n+2)cdot (n+1)!]/(n+2)! f) (4!+3!)/3! Questão 18 Resolva as equaçōes abaixo: a) n!=24 b) n!=5cdot (n-1)! c) n!=(n+1)! d) (n+1)!=10cdot n!

Questão 17:<br />a) 6! = 720<br />b) 4!/3! = 4<br />c) 7!/5! = 42<br />d) 10!/(5·9!) = 10<br />e) 20!/(18!·2!) = 190<br />g) (8!·5!)/7! = 40<br />h) (10·8!)/9! = 10<br />i) (13!·12!)/(11!·10!) = 286<br />j) (100!·99!·98!)/(99!·98!·97!) = 97<br />k) n!/(n-1)! = n<br />l) [(n+2)·(n+1)!]/(n+2)! = n+1<br />f) (4!+3!)/3! = 5<br /><br />Questão 18:<br />a) n! = 24 -> n = 4<br />b) n! = 5·(n-1)! -> n = 5<br />c) n! = (n+1)! -> n = 0<br />d) (n+1)! = 10·n! -> n = 9