Absence of vasculitis, history of fever and nodular lesions with neutrophillic infiltration may be seen in Sweet's syndrome and Erythema Nodosum. However, presence of histiocytic infiltration is rare or uncommon in Sweet's syndrome and more common in Erythema nodosum. Therefore, Erythema nodosum is the right Answer amongst the above options and wins the duel with Sweet's syndrome. Ref: Tarascon pocket rheumatologica, by Andrew E. Thompson, Page 32; Vasculitis in clinical practice, by Richard A.Watts, David G.I. Scott, Page 153.