JEE Main 2022 · 26 Jun · Shift 1, Mathematics question 22

There are ten boys $B_1,B_2,\dots,B_{10}$ and five girls $G_1,G_2,\dots,G_5$ 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 ______.