Explanation

In Bougainvillea, inflorescence is dichasial cyme, where medianly situated peduncle itself finishes in a flower and bears two lateral floral branches at the base of its origin hence, in 34 inflorescences, the number of flowers is 102. In Poinsettia, inflorescences is cyathium, in which a single central female flower remains surrounded by numerous male flowers in a cup formed by the fusion of involucres, so, in 42 inflorescence, the number of female flowers is 42.