Five letters are selected from the 9 letters in the word DELIVERED．
从单词 DELIVERED 的 9 个字母中选择 5 个字母。
（c）Find the number of different selections if the 5 letters include at least one D and at least one E ．
（c）如果 5 个字母至少包含一个 D 和至少一个 E，则找到不同选择的数量。
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（i）A plate of cakes holds 12 different cakes．Find the number of ways these cakes can be shared between Alex and James if each receives an odd number of cakes．
（i）一盘蛋糕有 12 个不同的蛋糕。如果 Alex 和 James 都收到奇数个蛋糕，请找出这些蛋糕可以在 Alex 和 James 之间共享的方式数量。
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（ii）Another plate holds 7 cup cakes，each with a different colour icing，and 4 brownies，each of a different size．Find the number of different ways these 11 cakes can be arranged in a row if no brownie is next to another brownie．
（ii）另一个盘子里有 7 个蛋糕，每个蛋糕都有不同颜色的糖霜，还有 4 个布朗尼蛋糕，每个蛋糕的大小都不同。如果没有布朗尼在另一个布朗尼旁边，这 11 个蛋糕可以排成一排的不同方式的数量。
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