A convenience store packages three building block models (A, B, C) and five character figurines ($a, b, c, d, e$), totaling eight toys, into two bags for sale. Each bag contains four toys, and the packaging follows these principles: (I) A and $a$ must be in the same bag. (II) Each bag must contain at least one building block model. (III) $d$ and $e$ must be in different bags. Based on the above, select the correct options. (1) Each bag must contain at least two character figurines (2) B and C must be in different bags (3) If B and $d$ are in the same bag, then C and $e$ must be in the same bag (4) If B and $d$ are in different bags, then $b$ and $c$ must be in different bags (5) If $b$ and $c$ are in different bags, then B and C must be in the same bag
A convenience store packages three building block models (A, B, C) and five character figurines ($a, b, c, d, e$), totaling eight toys, into two bags for sale. Each bag contains four toys, and the packaging follows these principles:\\
(I) A and $a$ must be in the same bag.\\
(II) Each bag must contain at least one building block model.\\
(III) $d$ and $e$ must be in different bags.\\
Based on the above, select the correct options.\\
(1) Each bag must contain at least two character figurines\\
(2) B and C must be in different bags\\
(3) If B and $d$ are in the same bag, then C and $e$ must be in the same bag\\
(4) If B and $d$ are in different bags, then $b$ and $c$ must be in different bags\\
(5) If $b$ and $c$ are in different bags, then B and C must be in the same bag