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How many positive 4-digit integers begin (on the left) with all even digit and end with an odd digit (on the right)?
How many positive 4-digit integers begin (on the left) with all even digit and end with an odd digit (on the right)?
admin
2021-10-21
47
问题
How many positive 4-digit integers begin (on the left) with all even digit and end with an odd digit (on the right)?
选项
A、250
B、500
C、2,000
D、2,500
E、1,120
答案
C
解析
这是一道排列组合题,先考虑有限制的数位:四位数的千分位是偶数,那么可以从2,4,6,8中选择,注意四位数千分位为最高位,不能为0,所以共有4种;四位数的个位是奇数,那么可以从1,3,5,7,9中选择,有C
5
1
=5种;其他两位可以从0~9随意选择,有10种选择,所以满足条件的四位数一共有:4×5×10×10=2000。
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本试题收录于:
GMAT QUANTITATIVE题库GMAT分类
0
GMAT QUANTITATIVE
GMAT
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