一道GRE数学题,A certain identification is a list of five symbols

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一道GRE数学题,A certain identification is a list of five symbols
A certain identification is a list of five symbols:S1,S2,D1,D2,D3,Each of the first 2 symbols must be one of the 26 letters of the English alphabet,and each of the last 3 symbols must be one of the 10 digits.(Repeated letters and digits are allowed.).What is the total number of different identification codes?

翻译为中文：一个特定的识别是五个符号组成：S1,S2,D1,D2,D3,前面2个符号必须是26个英文字母中的一个,和后面3个符号必须是10位数字（0--9）.（重复的字母和数字都是允许的.）.不同的识别码的总数是多少?
这就是一个排列组合题.前2个符号分别是26个字母任选一个,各有26种选择,后3个符号是在10个数字中各任选一个,分别有10种选择
应该为 26*26*10*10*10=676000

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