Another method is as follows

 

place E & U first

_E _ U_

now three letters remaining are V,N,S

so for V three places are available (before E ,b/w E & U , or after U

so V can be placed in 3 ways

 

now after V is placed , N can be placed in 4 ways(as an extra gap will be created , b/w V & E or b/w U & V)

similarly after placing N , S can be placed in 5 ways

 

so total ways are 5 * 4 * 3 = 60

 

this method is called placing technique and is useful when arrangement cases become too many.