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单选题
1!+2!+…+2003!的个位数是( )。
A
3
B
5
C
6
D
8
参考答案
参考解析
解析:
5!=120,从5!到2003!,每个数字里面既有因子2,也有因子5,尾数必然为0,则5!+6!+…+2003!的个位数为0;只需要考虑1!+2!+3!+4!的尾数即可,1!+2!+3!+4!=1+2+6+24=33,个位数为3。
5!=120,从5!到2003!,每个数字里面既有因子2,也有因子5,尾数必然为0,则5!+6!+…+2003!的个位数为0;只需要考虑1!+2!+3!+4!的尾数即可,1!+2!+3!+4!=1+2+6+24=33,个位数为3。
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