Question

If 6!+7!+8!=(n)(6!), then the value of n is
A) 15
B)16
C)63
D)64
E)15!

Answer 1

6!+7!+8!=(n)(6!)
calculate the individual values first:
6!=720
7!=5040
8!=40320

plug them into the equation:
720+5040+40320=n720
solve for n
5760+40320=n720
46080=n720
divide both sides by 720 to isolate n
46080/720=n720/720
64=n