Mathematics - Permutation & Combination Question with Solution | TestHub

There are ten boys$B_1,{ B}_2,\dots .,B_{10}$and five girls$G_1,{\mathrm{G}}_2,\dots .{\mathrm{G}}_5$in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both$B_1$and$B_2$together should not be the members of a group, is _____.